251 lines
7.6 KiB
Python
Executable File
251 lines
7.6 KiB
Python
Executable File
#!/usr/bin/env python3
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from collections import namedtuple
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from decimal import Decimal as Dec
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from math import sin, cos, pi
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from shapely.geometry import LineString, asPolygon, Point as sPoint
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import numpy as np
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def normalize(ang):
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while ang > 180:
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ang -= 360
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while ang <= -180:
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ang += 360
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return ang
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def guess(inp):
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if isinstance(inp, str) and '-' in inp:
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deg, mm, ss = inp.split('-')
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ddeg, dmm, dss = Dec(deg), Dec(mm), Dec(ss)
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return ddeg + dmm/60 + dss/3600
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else:
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return Dec(instr)
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class Point(namedtuple('Point', ['acadx', 'acady'])):
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@property
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def lksx(self):
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return self.acady
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@property
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def lksy(self):
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return self.acadx
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class Vertex:
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def __init__(self, point, length, angle, dirang=Dec(), coords = Point(Dec(), Dec())):
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self.point = point
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self.len = length
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self.ang = angle
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self.dirang = dirang
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self.coords = coords
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@property
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def xy(self):
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"""xy returns a tuple of lksx and lksy coordinates"""
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return np.array([float(self.coords.lksx), float(self.coords.lksy)])
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def heptagon(d1):
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angles = np.linspace(0, 2*pi, num=8)
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R = float(D1)/2/sin(pi/7)
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heptagon_xy = (np.array([np.cos(angles), np.sin(angles)])*R).T
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return asPolygon(heptagon_xy)
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juosta = namedtuple('juosta', ['plotis', 'kryptis', 'dashes', 'spalva'])
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kelias = namedtuple('kelias', ['virsunes', 'plotis', 'kat', 'dashes', 'spalva', 'juostos'])
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# Kategorijos
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KAT0, KAT1, KAT2, KAT3, KAT4 = range(5,0,-1)
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A = Dec('6.094')
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B = Dec('-2.923')
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C = Dec('-13.462')
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N = Dec('9.512')
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L1 = Dec('16.321')
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# === Kelias A-05 ===
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L2 = Dec('9.109')
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L3 = Dec('4.819')
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# === Kelias A-08 ===
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L4 = Dec('2.675')
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L5 = Dec('2.059')
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L6 = Dec('1.262')
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L7 = Dec('4.170')
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L8 = Dec('6.005')
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L9 = Dec('6.453')
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# === Griovys G-11 ===
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L10 = Dec('4.882')
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L11 = Dec('3.305')
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L12 = Dec('2.210')
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L13 = Dec('4.381')
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A03_plotis = Dec('17.401') + A
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A05_plotis = Dec('13.705') + B
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A08_plotis = Dec('29.006') + C
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G11_plotis = Dec('14.776') + N
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# Directional coords + angle
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X11 = Dec('6091968.055')
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Y11 = Dec('485944.146')
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A11_2 = guess('70-16-17')
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vertices = [
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# point len angle dirangle coords
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Vertex(11, Dec('164.126'), guess('103-03-03'), A11_2, Point(X11, Y11)),
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Vertex(2, Dec('149.851'), guess('218-27-42')),
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Vertex(19, Dec('82.384' ), guess('211-44-30')),
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Vertex(3, Dec('259.022'), guess('67-26-49' )),
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Vertex(24, Dec('319.331'), guess('67-33-06' )),
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Vertex(12, Dec('74.764' ), guess('279-03-59')),
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Vertex(13, Dec('81.640' ), guess('278-54-55')),
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Vertex(14, Dec('31.888' ), guess('119-27-45')),
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Vertex(15, Dec('84.073' ), guess('160-50-28')),
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Vertex(16, Dec('70.072' ), guess('207-42-31')),
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Vertex(17, Dec('73.378' ), guess('206-18-01')),
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Vertex(10, Dec('66.625' ), guess('90-55-10' )),
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Vertex(18, Dec('97.003' ), guess('100-18-10')),
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Vertex(9, Dec('121.003'), guess('148-30-56')),
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Vertex(8, Dec('131.915'), guess('285-20-57')),
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Vertex(23, Dec('102.086'), guess('29-44-22' )),
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Vertex(22, Dec('158.324'), guess('276-33-49')),
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Vertex(7, Dec('72.157' ), guess('82-07-47' )),
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Vertex(6, Dec('107.938'), guess('104-15-46')),
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Vertex(21, Dec('104.082'), guess('234-17-37')),
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Vertex(5, Dec('154.332'), guess('283-30-57')),
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Vertex(20, Dec('68.972' ), guess('152-15-58')),
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Vertex(1, Dec('151.531'), guess('101-20-01')),
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Vertex(4, Dec('179.336'), guess('150-15-41')),
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]
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angle_sum = Dec(0)
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for v in vertices:
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angle_sum += v.ang
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theoretical_angle_sum = Dec(int((len(vertices)-2)*180))
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for i, v in enumerate(vertices[1:]):
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prev = vertices[i]
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v.dirang = prev.dirang + 180 - v.ang
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dx = Dec(float(prev.len) * cos(float(prev.dirang) * pi/180))
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dy = Dec(float(prev.len) * sin(float(prev.dirang) * pi/180))
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v.coords = Point(prev.coords.acadx + dx, prev.coords.acady + dy)
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# 9-kampio krastine D1
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D1 = Dec('174.667') + C
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# Daugiakampio pasukimo kampas (K1)
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K1 = Dec('13.147') + B
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# Atstumas iki tikrosios uzliejimo zonos (A1) (0.001 tikslumu)
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A1 = Dec('67.536') + B
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circle_radius = float(D1)/2/sin(pi/7)-float(A1)
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heptagon_area = heptagon(float(D1)).area
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circle_area = sPoint(0,0).buffer(circle_radius).area
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# Points is vertice map by id
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Points = {}
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for v in vertices:
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Points[v.point] = v
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CONTINUOUS = (1,0)
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DASHDOTX2 = (10,3,2,3)
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DASHED = (100,20)
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keliai = {
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'A-08': kelias(
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virsunes=[1,2,3],
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plotis=A08_plotis,
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kat=KAT1,
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dashes=DASHDOTX2,
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spalva='xkcd:red',
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juostos=(
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juosta(L6+L5+L4, 'right', DASHED, 'xkcd:lightgreen'),
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juosta(L6+L5, 'right', DASHED, 'xkcd:lightgreen'),
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juosta(L6, 'right', CONTINUOUS, 'xkcd:black'),
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juosta(L7, 'left', CONTINUOUS, 'xkcd:black'),
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juosta(L7+L8, 'left', DASHED, 'xkcd:lightgreen'),
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juosta(L7+L8+L9, 'left', DASHED, 'xkcd:lightgreen'),
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),
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),
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'A-05': kelias(
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virsunes=[4,5,6,7,8,9,10],
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plotis=A05_plotis,
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kat=KAT2,
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dashes=DASHDOTX2,
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spalva='xkcd:red',
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juostos=(
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juosta(L3, 'right', CONTINUOUS, 'xkcd:brown'),
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juosta(L2, 'left', CONTINUOUS, 'xkcd:brown'),
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),
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),
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'A-03': kelias(
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virsunes=[11,12,13,14,15,16,17,18],
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plotis=A03_plotis,
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kat=KAT3,
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dashes=CONTINUOUS,
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spalva='xkcd:magenta',
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juostos=(
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juosta(L1, 'right', DASHED, 'xkcd:magenta'),
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juosta(0, 'left', DASHED, 'xkcd:white'),
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),
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),
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'G-11': kelias(
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virsunes=[19,20,21,22,23,24],
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plotis=G11_plotis,
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kat=KAT4,
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dashes=CONTINUOUS,
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spalva='xkcd:red',
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juostos=(
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juosta(L10+L11, 'right', CONTINUOUS, 'xkcd:blue'),
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juosta(L11, 'right', CONTINUOUS, 'xkcd:lightblue'),
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juosta(L12, 'left', CONTINUOUS, 'xkcd:lightblue'),
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juosta(L12+L13, 'left', CONTINUOUS, 'xkcd:blue'),
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),
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),
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}
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keliu_ilgiai = {}
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for id, kelias in keliai.items():
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keliu_ilgiai[id] = LineString([Points[i].xy for i in kelias.virsunes]).length
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print(keliu_ilgiai)
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if __name__ == '__main__':
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print("angle sum %.4f, theoretical angle sum %d" % \
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(angle_sum, theoretical_angle_sum))
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"""
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for i, v in enumerate(vertices):
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nxt = vertices[0 if i == len(vertices) - 1 else i+1]
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pts = "%d-%d" % (v.point, nxt.point)
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draw = "@%.3f<%.4f" % (v.len, normalize(90 - v.dirang))
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print("%5s: %19s acadcoords:(%.3f,%.3f)" % \
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(pts, draw, v.coords.acadx, v.coords.acady))
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"""
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print("""
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Kelio A-03 plotis = 17.401 + A = %.3f""" % A03_plotis + """
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Kelio A-05 plotis = 13.705 + B = %.3f""" % A05_plotis + """
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Kelio A-08 plotis = 29.006 + C = %.3f""" % A08_plotis + """
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Griovio G-11 plotis = 14.776 + N = %.3f""" % G11_plotis + """
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Prognozuojamo uzliejimo zona, tai taisyklingas 9-kampis
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9-kampio krastine D1 = %.3f""" % D1 + """
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Daugiakampio pasukimo kampas (K1) (0.0001 laipsnio tikslumu)
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K1 = %.4f""" % K1 + """
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Tikroji uzliejimo zona, tai taisyklingas apskritimas, kurio centras TURI SUTAPTI su daugiakampio centru.
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Atstumas iki tikrosios uzliejimo zonos (A1) (0.001 tikslumu)
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A1 = %.3f""" % A1 + """
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A-05:
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x(l) = %.3f""" % (A05_plotis*L3/(L2+L3)) + """
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x(r) = %.3f""" % (A05_plotis*L2/(L2+L3)) + """
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A-08:
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x(l) = %.3f""" % (A08_plotis*(L7+L8+L9)/(L7+L8+L9+L6+L5+L4)) + """
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x(r) = %.3f""" % (A08_plotis*(L6+L5+L4)/(L7+L8+L9+L6+L5+L4)) + """
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G-11:
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x(l) = %.3f""" % (G11_plotis*(L12+L13)/(L10+L11+L12+L13)) + """
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x(r) = %.3f""" % (G11_plotis*(L10+L11)/(L10+L11+L12+L13)) + """
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""")
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