"""
Triangle with Altitudes and Orthocenter
=======================================
Plotting a triangle with its three altitudes and their intersection point, the orthocenter.
"""
from skspatial.objects import Triangle
from skspatial.plotting import plot_2d
triangle = Triangle([0, 0], [2, 0], [1, 2])
plot_2d(
triangle.plotter(c='k', zorder=3),
triangle.orthocenter().plotter(c='r', edgecolor='k', s=100, zorder=3),
*[x.plotter(c='k', zorder=3) for x in triangle.multiple('line', 'abc')],
*[x.plotter() for x in triangle.multiple('altitude', 'ABC')],
)
"""
2D Line-Line Intersection
=========================
"""
from skspatial.objects import Line
from skspatial.plotting import plot_2d
line_a = Line(point=[0, 0], direction=[1, 1.5])
line_b = Line(point=[5, 0], direction=[-1, 1])
point_intersection = line_a.intersect_line(line_b)
plot_2d(
line_a.plotter(t_1=3),
line_b.plotter(t_1=4),
point_intersection.plotter(c='k', s=75, zorder=3),
)
"""
2D Line of Best Fit
===================
Fit a line to multiple 2D points.
"""
from skspatial.objects import Points, Line
from skspatial.plotting import plot_2d
points = Points([
[0, 0],
[0, 1],
[1, 2],
[3, 3],
[4, 3],
[6, 5],
[5, 6],
[7, 8],
])
line_fit = Line.best_fit(points)
plot_2d(
line_fit.plotter(t_1=-7, t_2=7, c='k'),
points.plotter(c='k'),
)
"""
Circle-Line Intersection
========================
"""
from skspatial.objects import Circle, Line
from skspatial.plotting import plot_2d
circle = Circle([0, 0], 5)
line = Line([0, 0], [1, 1])
point_a, point_b = circle.intersect_line(line)
_, ax = plot_2d(
circle.plotter(fill=False),
line.plotter(t_1=-5, t_2=5, c='k'),
point_a.plotter(c='r', s=100, edgecolor='k', zorder=3),
point_b.plotter(c='r', s=100, edgecolor='k', zorder=3),
)
ax.axis('equal')
"""
2D Point-Line Projection
========================
Project a point onto a line.
"""
from skspatial.objects import Point, Line
from skspatial.plotting import plot_2d
line = Line(point=[0, 0], direction=[1, 1])
point = Point([1, 4])
point_projected = line.project_point(point)
line_projection = Line.from_points(point, point_projected)
_, ax = plot_2d(
line.plotter(t_2=5, c='k'),
line_projection.plotter(c='k', linestyle='--'),
point.plotter(s=75, c='k'),
point_projected.plotter(c='r', s=75, zorder=3),
)
ax.axis('equal')
"""
2D Vector-Vector Projection
===========================
Project a vector onto another vector.
"""
from skspatial.objects import Vector
from skspatial.plotting import plot_2d
vector_a = Vector([1, 1])
vector_b = Vector([2, 0])
vector_projected = vector_b.project_vector(vector_a)
_, ax = plot_2d(
vector_a.plotter(color='k', head_width=0.1),
vector_b.plotter(color='k', head_width=0.1),
vector_projected.plotter(color='r', head_width=0.1),
)
ax.axis([-0.5, 2.5, -0.5, 1.5])