polar coordinate is a component made in grasshopper via python language-programming.
This component provides mapping geometry from an object to another objects.
polar coordinate
The polar coordinate is a two-dimensional coordinate system, In this system, two parameters have a role, the first refers to the distance between a reference point and a point on a plane and the second is about the angle from a reference direction.
we used this system to make a component in Rhino-grasshopper that enable us to mapping geometry from the base boundary to a target geometry.
Code
import rhinoscriptsyntax as rs
import Rhino.Geometry as rg
import ghpythonlib.treehelpers as th
import Rhino.Geometry.Intersect as int
import ghpythonlib.components as gc
matpts_a=[[None for i in range(1)]for j in range(len(lines))]
for i in range(len(matpts_a)):
matpts_a[i].pop(0)
for i in range(len(lines)):
matpts_a[i]=rs.DivideCurve(lines[i],5)
matlines_a=[[None for i in range(1)]for j in range(len(lines))]
for i in range(len(matlines_a)):
matlines_a[i].pop(0)
cent_a=rs.DivideCurve(crvA,50)
pt_sum_a = (cent_a[0])
for i in range(1, len(cent_a)):
pt_sum_a += (cent_a[i])
cent_a= pt_sum_a / len(cent_a)
cent_b=rs.DivideCurve(crvB,50)
pt_sum_b = (cent_b[0])
for i in range(1, len(cent_b)):
pt_sum_b += (cent_b[i])
cent_b= pt_sum_b / len(cent_b)
for i in range(len(lines)):
for j in range(len(matpts_a[0])):
matlines_a[i].append(rg.Line(cent_a,matpts_a[i][j]))
matpts_aa=[[[None for i in range(2)]for j in range(len(matlines_a[0]))]for k in range(len(lines))]
matpts_ll=[[[None for i in range(2)]for j in range(len(matlines_a[0]))]for k in range(len(lines))]
Lines_A=[[None for i in range(1)]for j in range(len(lines))]
for k in range(2):
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
matpts_aa[i][j].pop(0)
matpts_ll[i][j].pop(0)
for i in range(len(Lines_A)):
Lines_A[i].pop(0)
for i in range(len(lines)):
for j in range(len(matlines_a[i])):
ccx=(int.Intersection.CurveLine(crvA,matlines_a[i][j],0.2,0.2))
for xe in ccx:
matpts_aa[i][j].append(xe.PointA)
print matpts_ll
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
matpts_ll[i][j].append(rg.Line(cent_a,matpts_aa[i][j][0]))
matpts_ll[i][j].append(rg.Line(cent_a,matpts_aa[i][j][1]))
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
for k in range(2):
if abs(sum(gc.UnitVector(rs.VectorCreate(matlines_a[i][j].From,matlines_a[i][j].To)))-sum(gc.UnitVector(rs.VectorCreate(matpts_ll[i][j][k].From,matpts_ll[i][j][k].To))))<0.002:
Lines_A[i].append(matpts_ll[i][j][k])
data_ratio=[[None for i in range(1)]for j in range(len(lines))]
for i in range(len(data_ratio)):
data_ratio[i].pop(0)
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
data_ratio[i].append((matlines_a[i][j].Length)/(Lines_A[i][j].Length))
lines_b=[[None for i in range(1)]for j in range(len(lines))]
matpts_bb=[[[None for i in range(2)]for j in range(len(matlines_a[0]))]for k in range(len(lines))]
matpts_b_ll=[[[None for i in range(2)]for j in range(len(matlines_a[0]))]for k in range(len(lines))]
Lines_B=[[None for i in range(1)]for j in range(len(lines))]
for k in range(2):
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
matpts_b_ll[i][j].pop(0)
matpts_bb[i][j].pop(0)
for i in range(len(Lines_B)):
Lines_B[i].pop(0)
for i in range(len(lines_b)):
lines_b[i].pop(0)
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
ccx=(int.Intersection.CurveLine(crvB,rg.Line(cent_b,matlines_a[i][j].Direction),0.2,0.2))
for xe in ccx:
matpts_bb[i][j].append(xe.PointA)
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
matpts_b_ll[i][j].append(rg.Line(cent_b,matpts_bb[i][j][0]))
matpts_b_ll[i][j].append(rg.Line(cent_b,matpts_bb[i][j][1]))
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
for k in range(2):
if abs(sum(gc.UnitVector(rs.VectorCreate(matlines_a[i][j].From,matlines_a[i][j].To)))-sum(gc.UnitVector(rs.VectorCreate(matpts_b_ll[i][j][k].From,matpts_b_ll[i][j][k].To))))<0.002:
Lines_B[i].append(matpts_b_ll[i][j][k])
a=th.list_to_tree(Lines_B)
b=th.list_to_tree(Lines_A)
points=[[None for i in range(1)]for j in range(len(lines))]
Lines_b_f=[[None for i in range(1)]for j in range(len(lines))]
output=[[None for i in range(1)]for j in range(len(lines))]
for i in range(len(Lines_B)):
Lines_b_f[i].pop(0)
for i in range(len(output)):
output[i].pop(0)
for i in range(len(points)):
points[i].pop(0)
e=cent_b
Lines_b_ff=0
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
Lines_b_f[i].append(rg.Line(cent_b,rs.VectorCreate(Lines_B[i][j].From,Lines_B[i][j].To) ,(-(Lines_B[i][j].Length)*data_ratio[i][j])))
Lines_b_ff=(rg.Line(cent_b,rs.VectorCreate(Lines_B[i][j].From,Lines_B[i][j].To) ,(-(Lines_B[i][j].Length)*data_ratio[i][j])))
points[i].append(Lines_b_ff.To)
c=th.list_to_tree(Lines_b_f)
d=th.list_to_tree(data_ratio)
for i in range(len(lines)):
for j in range(len(matlines_a[0])):
output[i].append(rg.PolylineCurve(points[i]))
output=th.list_to_tree(output)