1#!/usr/local/bin/python3.8
2
3import xasy2asy as x2a
4import numpy as np
5import math
6import PyQt5.QtCore as Qc
7import PyQt5.QtGui as Qg
8
9
10class PrimitiveShape:
11    # The magic number.
12    # see https://www.desmos.com/calculator/lw6j7khikj for unitcircle
13    # optimal_ctl_pt = 0.5447
14
15    @staticmethod
16    def pos_to_tuple(pos):
17        if isinstance(pos, tuple) or isinstance(pos, np.ndarray):
18            return pos
19        elif isinstance(pos, Qc.QPoint) or isinstance(pos, Qc.QPointF):
20            return pos.x(), pos.y()
21        else:
22            raise TypeError("Position must be a valid type!")
23
24    @staticmethod
25    def euclideanNorm(p1, p2):
26        x1, y1 = PrimitiveShape.pos_to_tuple(p1)
27        x2, y2 = PrimitiveShape.pos_to_tuple(p2)
28
29        normSq = ((x1 - x2) ** 2) + ((y1 - y2) ** 2)
30        return math.sqrt(normSq)
31
32    @classmethod
33    def circle(cls, position, radius):
34        pos_x, pos_y = PrimitiveShape.pos_to_tuple(position)
35        newCircle = x2a.asyPath()
36        ptsList = [(pos_x + radius, pos_y), (pos_x, pos_y + radius), (pos_x - radius, pos_y), (pos_x, pos_y - radius),
37                   'cycle']
38        # cycle doesn't work for now.
39        lkList = ['..', '..', '..', '..']
40        newCircle.initFromNodeList(ptsList, lkList)
41        return newCircle
42
43    @classmethod
44    def inscribedRegPolygon(cls, sides, position, radius, starting_rad, qpoly=False):
45        pos_x, pos_y = PrimitiveShape.pos_to_tuple(position)
46        lkList = ['--'] * sides
47        ptsList = []
48        for ang in np.linspace(starting_rad, starting_rad + math.tau, sides, endpoint=False):
49            ptsList.append((pos_x + radius * math.cos(ang), pos_y + radius * math.sin(ang)))
50
51        if qpoly:
52            ptsList.append((pos_x + radius * math.cos(starting_rad), pos_y + radius * math.sin(starting_rad)))
53            qpoints = [Qc.QPointF(x, y) for (x, y) in ptsList]
54            return Qg.QPolygonF(qpoints)
55        else:
56            ptsList.append('cycle')
57            newPoly = x2a.asyPath()
58            newPoly.initFromNodeList(ptsList, lkList)
59            return newPoly
60
61    @classmethod
62    def exscribedRegPolygon(cls, sides, position, length, starting_rad, qpoly=False):
63        ang = math.tau/sides
64        # see notes
65        adjusted_radius = length / math.cos(ang/2)
66        return cls.inscribedRegPolygon(sides, position, adjusted_radius, starting_rad - ang/2, qpoly)
67