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https://gitlab.rlp.net/mobitar/ReCo.jl.git
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Fix center of mass graphics
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Mo8it
parent
1b93a57df2
commit
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3 changed files with 96 additions and 93 deletions
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@ -1,124 +1,126 @@
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using Luxor
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using ReCo: restrict_coordinate, project_to_unit_circle, project_back_from_unit_circle
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using ReCo: ReCo
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##
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function gen_COM_graphics()
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box_length = 100
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box_height = 100
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box_length = 100
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box_height = 100
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L = 0.35 * box_length
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L = 0.35 * box_length
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R = 0.35 * box_length
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R = 0.35 * box_length
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A = -0.9 * L
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B = 0.65 * L
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pr = 0.03 * L
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A = -0.9 * L
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B = 0.65 * L
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pr = 0.03 * L
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Ap_vec = Vector(ReCo.Shape.project_to_unit_circle(A, L))
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Bp_vec = Vector(ReCo.Shape.project_to_unit_circle(B, L))
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for p in (Ap_vec, Bp_vec)
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p[2] *= -1
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end
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Ap_vec = Vector(project_to_unit_circle(A, L))
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Bp_vec = Vector(project_to_unit_circle(B, L))
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for p in (Ap_vec, Bp_vec)
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p[2] *= -1
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end
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Ap = Point(Ap_vec[1], Ap_vec[2])
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Bp = Point(Bp_vec[1], Bp_vec[2])
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Ap = Point(Ap_vec[1], Ap_vec[2])
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Bp = Point(Bp_vec[1], Bp_vec[2])
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M = R * ((Ap + Bp) / 2)
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M = R * ((Ap + Bp) / 2)
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θ = atan(-M[2], M[1])
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θ = atan(-M[2], M[1])
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COM = ReCo.Shape.project_back_from_unit_circle(θ, L)
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si, co = sincos(θ)
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COMp = R * Point(co, -si)
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COM = project_back_from_unit_circle(θ, L)
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si, co = sincos(θ)
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COMp = R * Point(co, -si)
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##
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##
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graphics_export_dir = "exports/graphics"
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mkpath(graphics_export_dir)
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graphics_export_dir = "exports/graphics"
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mkpath(graphics_export_dir)
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Drawing(box_length, box_height, "$graphics_export_dir/line.pdf")
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origin()
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Drawing(box_length, box_height, "$graphics_export_dir/line.pdf")
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origin()
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setcolor("black")
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arrow(Point(-1.1 * L, 0), Point(1.2 * L, 0); arrowheadlength=0.1 * L, linewidth=0.8)
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setcolor("black")
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arrow(Point(-1.1 * L, 0), Point(1.2 * L, 0); arrowheadlength=0.1 * L, linewidth=0.8)
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green_orange = blend(Point(-1.5 * L, 0), Point(1.5 * L, 0))
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addstop(green_orange, 0.0, "orange")
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addstop(green_orange, (L) / (3 * L), "green")
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addstop(green_orange, (2 * L) / (3 * L), "orange")
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addstop(green_orange, 1.0, "green")
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setblend(green_orange)
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setline(0.8)
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line(Point(-L, 0), Point(L, 0), :stroke)
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green_orange = blend(Point(-1.5 * L, 0), Point(1.5 * L, 0))
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addstop(green_orange, 0.0, "orange")
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addstop(green_orange, (L) / (3 * L), "green")
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addstop(green_orange, (2 * L) / (3 * L), "orange")
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addstop(green_orange, 1.0, "green")
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setblend(green_orange)
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setline(0.8)
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line(Point(-L, 0), Point(L, 0), :stroke)
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setcolor("red")
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setline(0.5)
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for x in (-L, L)
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line(Point(x, 0.05 * L), Point(x, -0.05 * L), :stroke)
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end
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setcolor("red")
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setline(0.5)
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for x in (-L, L)
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line(Point(x, 0.05 * L), Point(x, -0.05 * L), :stroke)
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end
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setcolor("cyan3")
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line(Point(0, 0.05 * L), Point(0, -0.05 * L), :stroke)
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setcolor("cyan3")
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line(Point(0, 0.05 * L), Point(0, -0.05 * L), :stroke)
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setcolor("blue")
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for p in (A, B)
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circle(Point(p, 0), pr, :fill)
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end
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setcolor("blue")
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for p in (A, B)
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circle(Point(p, 0), pr, :fill)
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end
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setcolor("brown")
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circle(Point(COM, 0), pr, :fill)
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setcolor("brown")
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circle(Point(COM, 0), pr, :fill)
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setcolor("black")
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fontsize(5)
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text("x", Point(1.2 * L, 0.038 * L))
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text("-L", Point(-L - 0.07 * L, 0.18 * L))
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text("0", Point(0 - 0.035 * L, 0.18 * L))
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text("+L", Point(L - 0.07 * L, 0.18 * L))
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text("A", Point(A - 0.038 * L, -0.06 * L))
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text("B", Point(B - 0.038 * L, -0.06 * L))
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text("COM", Point(COM - 0.108 * L, -0.06 * L))
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setcolor("black")
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fontsize(5)
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text("x", Point(1.2 * L, 0.035 * L))
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text("-L", Point(-L - 0.08 * L, 0.18 * L))
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text("0", Point(0 - 0.035 * L, 0.18 * L))
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text("+L", Point(L - 0.08 * L, 0.18 * L))
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text("A", Point(A - 0.04 * L, -0.06 * L))
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text("B", Point(B - 0.04 * L, -0.06 * L))
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text("COM", Point(COM - 0.125 * L, -0.06 * L))
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finish()
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finish()
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##
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##
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Drawing(box_length, box_height, "$graphics_export_dir/circle.pdf")
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origin()
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Drawing(box_length, box_height, "$graphics_export_dir/circle.pdf")
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origin()
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arrow(Point(-1.2 * R, 0), Point(1.2 * R, 0); arrowheadlength=0.1 * R, linewidth=0.8)
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arrow(Point(0, 1.2 * R), Point(0, -1.2 * R); arrowheadlength=0.1 * R, linewidth=0.8)
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arrow(Point(-1.2 * R, 0), Point(1.2 * R, 0); arrowheadlength=0.1 * R, linewidth=0.8)
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arrow(Point(0, 1.2 * R), Point(0, -1.2 * R); arrowheadlength=0.1 * R, linewidth=0.8)
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setcolor("black")
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fontsize(5)
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text("α", Point(1.22 * R, 0.035 * R))
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text("β", Point(-0.04 * R, -1.23 * R))
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setcolor("black")
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fontsize(5)
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text("α", Point(1.22 * R, 0.035 * R))
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text("β", Point(-0.04 * R, -1.23 * R))
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orange_green = blend(Point(0, -R), Point(0, R), "green", "orange")
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setblend(orange_green)
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setline(0.8)
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circle(Point(0, 0), R, :stroke)
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orange_green = blend(Point(0, -R), Point(0, R), "green", "orange")
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setblend(orange_green)
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setline(0.8)
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circle(Point(0, 0), R, :stroke)
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setcolor("red")
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setline(0.5)
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line(Point(1.05 * R, 0), Point(0.95 * R, 0), :stroke)
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setcolor("cyan3")
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line(Point(-1.05 * R, 0), Point(-0.95 * R, 0), :stroke)
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setcolor("red")
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setline(0.5)
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line(Point(1.05 * R, 0), Point(0.95 * R, 0), :stroke)
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setcolor("cyan3")
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line(Point(-1.05 * R, 0), Point(-0.95 * R, 0), :stroke)
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setcolor("blue")
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for pp in (Ap, Bp)
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circle(R * pp, pr, :fill)
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end
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setcolor("blue")
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for pp in (Ap, Bp)
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circle(R * pp, pr, :fill)
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end
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setcolor("black")
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setdash("dot")
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line(R * Ap, R * Bp, :stroke)
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line(Point(0, 0), COMp, :stroke)
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setcolor("black")
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setdash("dot")
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line(R * Ap, R * Bp, :stroke)
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line(Point(0, 0), COMp, :stroke)
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setcolor("purple1")
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circle(M, pr, :fill)
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setcolor("purple1")
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circle(M, pr, :fill)
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setcolor("brown")
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circle(COMp, pr, :fill)
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setcolor("brown")
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circle(COMp, pr, :fill)
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finish()
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finish()
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return nothing
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end
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