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Some geometry.scad fixes and assert()s added.
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Revar Desmera
parent
35bdf558e7
commit
54eea4a6d6
212
geometry.scad
212
geometry.scad
@ -249,12 +249,13 @@ function segment_closest_point(seg,pt) =
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// labels = [[pts[0], "pt1"], [pts[1],"pt2"], [pts[2],"pt3"], [circ[0], "CP"], [circ[0]+[cos(315),sin(315)]*rad*0.7, "r"]];
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// for(l=labels) translate(l[0]+[0,2]) color("black") text(text=l[1], size=2.5, halign="center");
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function find_circle_2tangents(pt1, pt2, pt3, r=undef, d=undef) =
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let(r = get_radius(r=r, d=d, dflt=undef))
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assert(r!=undef, "Must specify either r or d.")
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(is_undef(pt2) && is_undef(pt3) && is_list(pt1))? find_circle_2tangents(pt1[0], pt1[1], pt1[2], r=r) :
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let(
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r = get_radius(r=r, d=d, dflt=undef),
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v1 = normalize(pt1 - pt2),
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v2 = normalize(pt3 - pt2)
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) approx(norm(v1+v2))? undef :
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assert(r!=undef, "Must specify either r or d.")
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let(
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a = vector_angle(v1,v2),
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n = vector_axis(v1,v2),
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@ -285,6 +286,7 @@ function find_circle_2tangents(pt1, pt2, pt3, r=undef, d=undef) =
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// translate(circ[0]) color("red") circle(d=3, $fn=12);
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// place_copies(pts) color("blue") circle(d=3, $fn=12);
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function find_circle_3points(pt1, pt2, pt3) =
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(is_undef(pt2) && is_undef(pt3) && is_list(pt1))? find_circle_3points(pt1[0], pt1[1], pt1[2]) :
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collinear(pt1,pt2,pt3)? [undef,undef,undef] :
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let(
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v1 = pt1-pt2,
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@ -299,7 +301,7 @@ function find_circle_3points(pt1, pt2, pt3) =
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res = find_circle_3points(a, b, c)
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) res[0]==undef? [undef,undef,undef] : let(
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cp = lift_plane(res[0], pt1, pt2, pt3),
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r = norm(p2-cp)
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r = norm(pt2-cp)
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) [cp, r, n2]
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) : let(
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mp1 = pt2 + v1/2,
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@ -394,7 +396,7 @@ function find_circle_tangents(r, d, cp, pt) =
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// ang = tri_calc(adj=20,hyp=30)[3];
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// ang2 = tri_calc(adj=20,hyp=40)[4];
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function tri_calc(ang,ang2,adj,opp,hyp) =
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assert(num_defined([ang,ang2])<2,"You cannot specify both ang and ang2.")
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assert(ang==undef || ang2==undef,"You cannot specify both ang and ang2.")
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assert(num_defined([ang,ang2,adj,opp,hyp])==2, "You must specify exactly two arguments.")
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let(
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ang = ang!=undef? assert(ang>0&&ang<90) ang :
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@ -413,6 +415,200 @@ function tri_calc(ang,ang2,adj,opp,hyp) =
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[adj, opp, hyp, ang, ang2];
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// Function: hyp_opp_to_adj()
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// Usage:
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// adj = hyp_opp_to_adj(hyp,opp);
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// Description:
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// Given the lengths of the hypotenuse and opposite side of a right triangle, returns the length
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// of the adjacent side.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// Example:
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// hyp = hyp_opp_to_adj(5,3); // Returns: 4
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function hyp_opp_to_adj(hyp,opp) =
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assert(is_num(hyp)&&hyp>=0)
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assert(is_num(opp)&&opp>=0)
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sqrt(hyp*hyp-opp*opp);
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// Function: hyp_ang_to_adj()
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// Usage:
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// adj = hyp_ang_to_adj(hyp,ang);
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// Description:
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// Given the length of the hypotenuse and the angle of the primary corner of a right triangle,
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// returns the length of the adjacent side.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// adj = hyp_ang_to_adj(8,60); // Returns: 4
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function hyp_ang_to_adj(hyp,ang) =
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assert(is_num(hyp)&&hyp>=0)
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assert(is_num(ang)&&ang>0&&ang<90)
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hyp*cos(ang);
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// Function: opp_ang_to_adj()
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// Usage:
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// adj = opp_ang_to_adj(opp,ang);
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// Description:
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// Given the angle of the primary corner of a right triangle, and the length of the side opposite of it,
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// returns the length of the adjacent side.
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// Arguments:
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// adj = opp_ang_to_adj(8,30); // Returns: 4
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function opp_ang_to_adj(opp,ang) =
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assert(is_num(opp)&&opp>=0)
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assert(is_num(ang)&&ang>0&&ang<90)
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opp/tan(ang);
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// Function: hyp_adj_to_opp()
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// Usage:
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// opp = hyp_adj_to_opp(hyp,adj);
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// Description:
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// Given the length of the hypotenuse and the adjacent side, returns the length of the opposite side.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// Example:
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// opp = hyp_adj_to_opp(5,4); // Returns: 3
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function hyp_adj_to_opp(hyp,adj) =
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assert(is_num(hyp)&&hyp>=0)
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assert(is_num(adj)&&adj>=0)
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sqrt(hyp*hyp-adj*adj);
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// Function: hyp_ang_to_opp()
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// Usage:
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// opp = hyp_ang_to_opp(hyp,adj);
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// Description:
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// Given the length of the hypotenuse of a right triangle, and the angle of the corner, returns the length of the opposite side.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// opp = hyp_ang_to_opp(8,30); // Returns: 4
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function hyp_ang_to_opp(hyp,ang) =
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assert(is_num(hyp)&&hyp>=0)
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assert(is_num(ang)&&ang>0&&ang<90)
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hyp*sin(ang);
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// Function: adj_ang_to_opp()
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// Usage:
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// opp = adj_ang_to_opp(adj,ang);
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// Description:
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// Given the length of the adjacent side of a right triangle, and the angle of the corner, returns the length of the opposite side.
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// Arguments:
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// opp = adj_ang_to_opp(8,45); // Returns: 8
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function adj_ang_to_opp(adj,ang) =
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assert(is_num(adj)&&adj>=0)
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assert(is_num(ang)&&ang>0&&ang<90)
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adj*tan(ang);
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// Function: adj_opp_to_hyp()
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// Usage:
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// hyp = adj_opp_to_hyp(adj,opp);
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// Description:
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// Given the length of the adjacent and opposite sides of a right triangle, returns the length of thee hypotenuse.
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// Arguments:
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// Example:
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// hyp = adj_opp_to_hyp(3,4); // Returns: 5
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function adj_opp_to_hyp(adj,opp) =
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assert(is_num(adj)&&adj>=0)
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assert(is_num(opp)&&opp>=0)
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norm([opp,adj]);
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// Function: adj_ang_to_hyp()
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// Usage:
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// hyp = adj_ang_to_hyp(adj,ang);
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// Description:
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// For a right triangle, given the length of the adjacent side, and the corner angle, returns the length of the hypotenuse.
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// Arguments:
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// hyp = adj_ang_to_hyp(4,60); // Returns: 8
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function adj_ang_to_hyp(adj,ang) =
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assert(is_num(adj)&&adj>=0)
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assert(is_num(ang)&&ang>=0&&ang<90)
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adj/cos(ang);
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// Function: opp_ang_to_hyp()
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// Usage:
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// hyp = opp_ang_to_hyp(opp,ang);
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// Description:
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// For a right triangle, given the length of the opposite side, and the corner angle, returns the length of the hypotenuse.
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// Arguments:
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// ang = The angle in degrees of the primary corner of the right triangle.
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// Example:
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// hyp = opp_ang_to_hyp(4,30); // Returns: 8
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function opp_ang_to_hyp(opp,ang) =
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assert(is_num(opp)&&opp>=0)
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assert(is_num(ang)&&ang>0&&ang<=90)
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opp/sin(ang);
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// Function: hyp_adj_to_ang()
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// Usage:
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// ang = hyp_adj_to_ang(hyp,adj);
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// Description:
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// For a right triangle, given the lengths of the hypotenuse and the adjacent sides, returns the angle of the corner.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// Example:
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// ang = hyp_adj_to_ang(8,4); // Returns: 60 degrees
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function hyp_adj_to_ang(hyp,adj) =
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assert(is_num(hyp)&&hyp>0)
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assert(is_num(adj)&&adj>=0)
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acos(adj/hyp);
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// Function: hyp_opp_to_ang()
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// Usage:
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// ang = hyp_opp_to_ang(hyp,opp);
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// Description:
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// For a right triangle, given the lengths of the hypotenuse and the opposite sides, returns the angle of the corner.
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// Arguments:
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// hyp = The length of the hypotenuse of the right triangle.
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// Example:
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// ang = hyp_opp_to_ang(8,4); // Returns: 30 degrees
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function hyp_opp_to_ang(hyp,opp) =
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assert(is_num(hyp)&&hyp>0)
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assert(is_num(opp)&&opp>=0)
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asin(opp/hyp);
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// Function: adj_opp_to_ang()
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// Usage:
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// ang = adj_opp_to_ang(adj,opp);
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// Description:
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// For a right triangle, given the lengths of the adjacent and opposite sides, returns the angle of the corner.
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// Arguments:
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// adj = The length of the side of the right triangle that is adjacent to the primary angle.
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// opp = The length of the side of the right triangle that is opposite from the primary angle.
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// Example:
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// ang = adj_opp_to_ang(sqrt(3)/2,0.5); // Returns: 30 degrees
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function adj_opp_to_ang(adj,opp) =
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assert(is_num(adj)&&adj>=0)
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assert(is_num(opp)&&opp>=0)
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atan2(opp,adj);
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// Function: triangle_area()
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// Usage:
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@ -486,8 +682,10 @@ function plane_from_pointslist(points) =
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indices = find_noncollinear_points(points),
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p1 = points[indices[0]],
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p2 = points[indices[1]],
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p3 = points[indices[2]]
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) plane3pt(p1,p2,p3);
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p3 = points[indices[2]],
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plane = plane3pt(p1,p2,p3),
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out = ((plane.x+plane.y+plane.z)<0)? plane3pt(p1,p3,p2) : plane
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) out;
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// Function: plane_normal()
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@ -512,7 +710,7 @@ function plane_normal(plane) = [for (i=[0:2]) plane[i]];
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// plane = The [A,B,C,D] values for the equation of the plane.
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// point = The point to test.
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function distance_from_plane(plane, point) =
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[plane.x, plane.y, plane.z] * point - plane[3];
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[plane.x, plane.y, plane.z] * point3d(point) - plane[3];
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// Function: coplanar()
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