本文整理汇总了Python中sympy.geometry.Triangle.bisectors方法的典型用法代码示例。如果您正苦于以下问题:Python Triangle.bisectors方法的具体用法?Python Triangle.bisectors怎么用?Python Triangle.bisectors使用的例子?那么恭喜您, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类sympy.geometry.Triangle
的用法示例。
在下文中一共展示了Triangle.bisectors方法的6个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_polygon
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
#.........这里部分代码省略.........
assert feq(angles[Point(4, 4)].evalf(), Float("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Float("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Float("2.3561944901923449"))
#
# Triangle
#
p1 = Point(0, 0)
p2 = Point(5, 0)
p3 = Point(0, 5)
t1 = Triangle(p1, p2, p3)
t2 = Triangle(p1, p2, Point(Rational(5, 2), sqrt(Rational(75, 4))))
t3 = Triangle(p1, Point(x1, 0), Point(0, x1))
s1 = t1.sides
assert Triangle(p1, p2, p1) == Polygon(p1, p2, p1) == Segment(p1, p2)
raises(GeometryError, lambda: Triangle(Point(0, 0)))
# Basic stuff
assert Triangle(p1, p1, p1) == p1
assert Triangle(p2, p2 * 2, p2 * 3) == Segment(p2, p2 * 3)
assert t1.area == Rational(25, 2)
assert t1.is_right()
assert t2.is_right() == False
assert t3.is_right()
assert p1 in t1
assert t1.sides[0] in t1
assert Segment((0, 0), (1, 0)) in t1
assert Point(5, 5) not in t2
assert t1.is_convex()
assert feq(t1.angles[p1].evalf(), pi.evalf() / 2)
assert t1.is_equilateral() == False
assert t2.is_equilateral()
assert t3.is_equilateral() == False
assert are_similar(t1, t2) == False
assert are_similar(t1, t3)
assert are_similar(t2, t3) == False
assert t1.is_similar(Point(0, 0)) == False
# Bisectors
bisectors = t1.bisectors()
assert bisectors[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
ic = (250 - 125 * sqrt(2)) / 50
assert t1.incenter == Point(ic, ic)
# Inradius
assert t1.inradius == t1.incircle.radius == 5 - 5 * sqrt(2) / 2
assert t2.inradius == t2.incircle.radius == 5 * sqrt(3) / 6
assert t3.inradius == t3.incircle.radius == x1 ** 2 / ((2 + sqrt(2)) * Abs(x1))
# Circumcircle
assert t1.circumcircle.center == Point(2.5, 2.5)
# Medians + Centroid
m = t1.medians
assert t1.centroid == Point(Rational(5, 3), Rational(5, 3))
assert m[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
assert t3.medians[p1] == Segment(p1, Point(x1 / 2, x1 / 2))
assert intersection(m[p1], m[p2], m[p3]) == [t1.centroid]
assert t1.medial == Triangle(Point(2.5, 0), Point(0, 2.5), Point(2.5, 2.5))
# Perpendicular
altitudes = t1.altitudes
assert altitudes[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
assert altitudes[p2] == s1[0]
assert altitudes[p3] == s1[2]
assert t1.orthocenter == p1
t = S(
"""Triangle(
Point(100080156402737/5000000000000, 79782624633431/500000000000),
Point(39223884078253/2000000000000, 156345163124289/1000000000000),
Point(31241359188437/1250000000000, 338338270939941/1000000000000000))"""
)
assert t.orthocenter == S(
"""Point(-780660869050599840216997"""
"""79471538701955848721853/80368430960602242240789074233100000000000000,"""
"""20151573611150265741278060334545897615974257/16073686192120448448157"""
"""8148466200000000000)"""
)
# Ensure
assert len(intersection(*bisectors.values())) == 1
assert len(intersection(*altitudes.values())) == 1
assert len(intersection(*m.values())) == 1
# Distance
p1 = Polygon(Point(0, 0), Point(1, 0), Point(1, 1), Point(0, 1))
p2 = Polygon(
Point(0, Rational(5) / 4), Point(1, Rational(5) / 4), Point(1, Rational(9) / 4), Point(0, Rational(9) / 4)
)
p3 = Polygon(Point(1, 2), Point(2, 2), Point(2, 1))
p4 = Polygon(Point(1, 1), Point(Rational(6) / 5, 1), Point(1, Rational(6) / 5))
pt1 = Point(half, half)
pt2 = Point(1, 1)
"""Polygon to Point"""
assert p1.distance(pt1) == half
assert p1.distance(pt2) == 0
assert p2.distance(pt1) == Rational(3) / 4
assert p3.distance(pt2) == sqrt(2) / 2
示例2: test_polygon
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
#.........这里部分代码省略.........
assert feq(angles[Point(4, 4)].evalf(), Float("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Float("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Float("2.3561944901923449"))
angles = p3.angles
assert feq(angles[Point(0, 0)].evalf(), Float("0.7853981633974483"))
assert feq(angles[Point(4, 4)].evalf(), Float("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Float("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Float("2.3561944901923449"))
#
# Triangle
#
p1 = Point(0, 0)
p2 = Point(5, 0)
p3 = Point(0, 5)
t1 = Triangle(p1, p2, p3)
t2 = Triangle(p1, p2, Point(Rational(5,2), sqrt(Rational(75,4))))
t3 = Triangle(p1, Point(x1, 0), Point(0, x1))
s1 = t1.sides
assert Triangle(p1, p2, p1) == Polygon(p1, p2, p1) == Segment(p1, p2)
raises(GeometryError, 'Triangle(Point(0, 0))')
# Basic stuff
assert Triangle(p1, p1, p1) == p1
assert Triangle(p2, p2*2, p2*3) == Segment(p2, p2*3)
assert t1.area == Rational(25,2)
assert t1.is_right()
assert t2.is_right() == False
assert t3.is_right()
assert p1 in t1
assert t1.sides[0] in t1
assert Segment((0, 0), (1, 0)) in t1
assert Point(5, 5) not in t2
assert t1.is_convex()
assert feq(t1.angles[p1].evalf(), pi.evalf()/2)
assert t1.is_equilateral() == False
assert t2.is_equilateral()
assert t3.is_equilateral() == False
assert are_similar(t1, t2) == False
assert are_similar(t1, t3)
assert are_similar(t2, t3) == False
assert t1.is_similar(Point(0, 0)) == False
# Bisectors
bisectors = t1.bisectors()
assert bisectors[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
ic = (250 - 125*sqrt(2)) / 50
assert t1.incenter == Point(ic, ic)
# Inradius
assert t1.inradius == t1.incircle.radius == 5 - 5*sqrt(2)/2
assert t2.inradius == t2.incircle.radius == 5*sqrt(3)/6
assert t3.inradius == t3.incircle.radius == x1**2/((2 + sqrt(2))*Abs(x1))
# Circumcircle
assert t1.circumcircle.center == Point(2.5, 2.5)
# Medians + Centroid
m = t1.medians
assert t1.centroid == Point(Rational(5,3), Rational(5,3))
assert m[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
assert t3.medians[p1] == Segment(p1, Point(x1/2, x1/2))
assert intersection(m[p1], m[p2], m[p3]) == [t1.centroid]
assert t1.medial == Triangle(Point(2.5, 0), Point(0, 2.5), Point(2.5, 2.5))
# Perpendicular
altitudes = t1.altitudes
assert altitudes[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
assert altitudes[p2] == s1[0]
assert altitudes[p3] == s1[2]
assert t1.orthocenter == p1
# Ensure
assert len(intersection(*bisectors.values())) == 1
assert len(intersection(*altitudes.values())) == 1
assert len(intersection(*m.values())) == 1
# Distance
p1 = Polygon(
Point(0, 0), Point(1, 0),
Point(1, 1), Point(0, 1))
p2 = Polygon(
Point(0, Rational(5)/4), Point(1, Rational(5)/4),
Point(1, Rational(9)/4), Point(0, Rational(9)/4))
p3 = Polygon(
Point(1, 2), Point(2, 2),
Point(2, 1))
p4 = Polygon(
Point(1, 1), Point(Rational(6)/5, 1),
Point(1, Rational(6)/5))
pt1 = Point(half, half)
pt2 = Point(1, 1)
'''Polygon to Point'''
assert p1.distance(pt1) == half
assert p1.distance(pt2) == 0
assert p2.distance(pt1) == Rational(3)/4
assert p3.distance(pt2) == sqrt(2)/2
示例3: test_polygon
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
def test_polygon():
t = Triangle(Point(0, 0), Point(2, 0), Point(3, 3))
assert Polygon(Point(0, 0), Point(1, 0), Point(2, 0), Point(3, 3)) == t
assert Polygon(Point(1, 0), Point(2, 0), Point(3, 3), Point(0, 0)) == t
assert Polygon(Point(2, 0), Point(3, 3), Point(0, 0), Point(1, 0)) == t
p1 = Polygon(Point(0, 0), Point(3, -1), Point(6, 0), Point(4, 5), Point(2, 3), Point(0, 3))
p2 = Polygon(Point(6, 0), Point(3, -1), Point(0, 0), Point(0, 3), Point(2, 3), Point(4, 5))
p3 = Polygon(Point(0, 0), Point(3, 0), Point(5, 2), Point(4, 4))
p4 = Polygon(Point(0, 0), Point(4, 4), Point(5, 2), Point(3, 0))
#
# General polygon
#
assert p1 == p2
assert len(p1) == 6
assert len(p1.sides) == 6
assert p1.perimeter == 5 + 2 * sqrt(10) + sqrt(29) + sqrt(8)
assert p1.area == 22
assert not p1.is_convex()
assert p3.is_convex()
assert p4.is_convex() # ensure convex for both CW and CCW point specification
#
# Regular polygon
#
p1 = RegularPolygon(Point(0, 0), 10, 5)
p2 = RegularPolygon(Point(0, 0), 5, 5)
assert p1 != p2
assert p1.interior_angle == 3 * pi / 5
assert p1.exterior_angle == 2 * pi / 5
assert p2.apothem == 5 * cos(pi / 5)
assert p2.circumcircle == Circle(Point(0, 0), 5)
assert p2.incircle == Circle(Point(0, 0), p2.apothem)
assert p1.is_convex()
#
# Angles
#
angles = p4.angles
assert feq(angles[Point(0, 0)].evalf(), Real("0.7853981633974483"))
assert feq(angles[Point(4, 4)].evalf(), Real("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Real("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Real("2.3561944901923449"))
angles = p3.angles
assert feq(angles[Point(0, 0)].evalf(), Real("0.7853981633974483"))
assert feq(angles[Point(4, 4)].evalf(), Real("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Real("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Real("2.3561944901923449"))
#
# Triangle
#
p1 = Point(0, 0)
p2 = Point(5, 0)
p3 = Point(0, 5)
t1 = Triangle(p1, p2, p3)
t2 = Triangle(p1, p2, Point(Rational(5, 2), sqrt(Rational(75, 4))))
t3 = Triangle(p1, Point(x1, 0), Point(0, x1))
s1 = t1.sides
s2 = t2.sides
s3 = t3.sides
# Basic stuff
assert Triangle(p1, p1, p1) == p1
assert Triangle(p2, p2 * 2, p2 * 3) == Segment(p2, p2 * 3)
assert t1.area == Rational(25, 2)
assert t1.is_right()
assert t2.is_right() == False
assert t3.is_right()
assert p1 in t1
assert Point(5, 5) not in t2
assert t1.is_convex()
assert feq(t1.angles[p1].evalf(), pi.evalf() / 2)
assert t1.is_equilateral() == False
assert t2.is_equilateral()
assert t3.is_equilateral() == False
assert are_similar(t1, t2) == False
assert are_similar(t1, t3)
assert are_similar(t2, t3) == False
# Bisectors
bisectors = t1.bisectors()
assert bisectors[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
ic = (250 - 125 * sqrt(2)) / 50
assert t1.incenter == Point(ic, ic)
# Inradius
assert t1.inradius == 5 - 5 * sqrt(2) / 2
assert t2.inradius == 5 * sqrt(3) / 6
assert t3.inradius == x1 ** 2 / ((2 + sqrt(2)) * Abs(x1))
# Medians + Centroid
m = t1.medians
assert t1.centroid == Point(Rational(5, 3), Rational(5, 3))
assert m[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
assert t3.medians[p1] == Segment(p1, Point(x1 / 2, x1 / 2))
#.........这里部分代码省略.........
示例4: test_polygon
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
#.........这里部分代码省略.........
assert feq(angles[Point(4, 4)].evalf(), Float("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Float("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Float("2.3561944901923449"))
angles = p3.angles
assert feq(angles[Point(0, 0)].evalf(), Float("0.7853981633974483"))
assert feq(angles[Point(4, 4)].evalf(), Float("1.2490457723982544"))
assert feq(angles[Point(5, 2)].evalf(), Float("1.8925468811915388"))
assert feq(angles[Point(3, 0)].evalf(), Float("2.3561944901923449"))
#
# Triangle
#
p1 = Point(0, 0)
p2 = Point(5, 0)
p3 = Point(0, 5)
t1 = Triangle(p1, p2, p3)
t2 = Triangle(p1, p2, Point(Rational(5,2), sqrt(Rational(75,4))))
t3 = Triangle(p1, Point(x1, 0), Point(0, x1))
s1 = t1.sides
s2 = t2.sides
s3 = t3.sides
# Basic stuff
assert Triangle(p1, p1, p1) == p1
assert Triangle(p2, p2*2, p2*3) == Segment(p2, p2*3)
assert t1.area == Rational(25,2)
assert t1.is_right()
assert t2.is_right() == False
assert t3.is_right()
assert p1 in t1
assert t1.sides[0] in t1
assert Segment((0, 0), (1, 0)) in t1
assert Point(5, 5) not in t2
assert t1.is_convex()
assert feq(t1.angles[p1].evalf(), pi.evalf()/2)
assert t1.is_equilateral() == False
assert t2.is_equilateral()
assert t3.is_equilateral() == False
assert are_similar(t1, t2) == False
assert are_similar(t1, t3)
assert are_similar(t2, t3) == False
# Bisectors
bisectors = t1.bisectors()
assert bisectors[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
ic = (250 - 125*sqrt(2)) / 50
assert t1.incenter == Point(ic, ic)
# Inradius
assert t1.inradius == 5 - 5*sqrt(2)/2
assert t2.inradius == 5*sqrt(3)/6
assert t3.inradius == x1**2/((2 + sqrt(2))*Abs(x1))
# Medians + Centroid
m = t1.medians
assert t1.centroid == Point(Rational(5,3), Rational(5,3))
assert m[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
assert t3.medians[p1] == Segment(p1, Point(x1/2, x1/2))
assert intersection(m[p1], m[p2], m[p3]) == [t1.centroid]
# Perpendicular
altitudes = t1.altitudes
assert altitudes[p1] == Segment(p1, Point(Rational(5,2), Rational(5,2)))
assert altitudes[p2] == s1[0]
assert altitudes[p3] == s1[2]
# Ensure
assert len(intersection(*bisectors.values())) == 1
assert len(intersection(*altitudes.values())) == 1
assert len(intersection(*m.values())) == 1
# Distance
p1 = Polygon(
Point(0, 0), Point(1, 0),
Point(1, 1), Point(0, 1))
p2 = Polygon(
Point(0, Rational(5)/4), Point(1, Rational(5)/4),
Point(1, Rational(9)/4), Point(0, Rational(9)/4))
p3 = Polygon(
Point(1, 2), Point(2, 2),
Point(2, 1))
p4 = Polygon(
Point(1, 1), Point(Rational(6)/5, 1),
Point(1, Rational(6)/5))
p5 = Polygon(
Point(half, 3**(half)/2), Point(-half, 3**(half)/2),
Point(-1, 0), Point(-half, -(3)**(half)/2),
Point(half, -(3)**(half)/2), Point(1, 0))
p6 = Polygon(Point(2, Rational(3)/10), Point(Rational(17)/10, 0),
Point(2, -Rational(3)/10), Point(Rational(23)/10, 0))
pt1 = Point(half, half)
pt2 = Point(1, 1)
'''Polygon to Point'''
assert p1.distance(pt1) == half
assert p1.distance(pt2) == 0
assert p2.distance(pt1) == Rational(3)/4
assert p3.distance(pt2) == sqrt(2)/2
示例5: test_polygon
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
#.........这里部分代码省略.........
p1 = Point(0, 0)
p2 = Point(5, 0)
p3 = Point(0, 5)
t1 = Triangle(p1, p2, p3)
t2 = Triangle(p1, p2, Point(Rational(5, 2), sqrt(Rational(75, 4))))
t3 = Triangle(p1, Point(x1, 0), Point(0, x1))
s1 = t1.sides
assert Triangle(p1, p2, p1) == Polygon(p1, p2, p1) == Segment(p1, p2)
raises(GeometryError, lambda: Triangle(Point(0, 0)))
# Basic stuff
assert Triangle(p1, p1, p1) == p1
assert Triangle(p2, p2*2, p2*3) == Segment(p2, p2*3)
assert t1.area == Rational(25, 2)
assert t1.is_right()
assert t2.is_right() is False
assert t3.is_right()
assert p1 in t1
assert t1.sides[0] in t1
assert Segment((0, 0), (1, 0)) in t1
assert Point(5, 5) not in t2
assert t1.is_convex()
assert feq(t1.angles[p1].evalf(), pi.evalf()/2)
assert t1.is_equilateral() is False
assert t2.is_equilateral()
assert t3.is_equilateral() is False
assert are_similar(t1, t2) is False
assert are_similar(t1, t3)
assert are_similar(t2, t3) is False
assert t1.is_similar(Point(0, 0)) is False
# Bisectors
bisectors = t1.bisectors()
assert bisectors[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
ic = (250 - 125*sqrt(2)) / 50
assert t1.incenter == Point(ic, ic)
# Inradius
assert t1.inradius == t1.incircle.radius == 5 - 5*sqrt(2)/2
assert t2.inradius == t2.incircle.radius == 5*sqrt(3)/6
assert t3.inradius == t3.incircle.radius == x1**2/((2 + sqrt(2))*Abs(x1))
# Circumcircle
assert t1.circumcircle.center == Point(2.5, 2.5)
# Medians + Centroid
m = t1.medians
assert t1.centroid == Point(Rational(5, 3), Rational(5, 3))
assert m[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
assert t3.medians[p1] == Segment(p1, Point(x1/2, x1/2))
assert intersection(m[p1], m[p2], m[p3]) == [t1.centroid]
assert t1.medial == Triangle(Point(2.5, 0), Point(0, 2.5), Point(2.5, 2.5))
# Nine-point circle
assert t1.nine_point_circle == Circle(Point(2.5, 0), Point(0, 2.5), Point(2.5, 2.5))
assert t1.nine_point_circle == Circle(Point(0, 0), Point(0, 2.5), Point(2.5, 2.5))
# Perpendicular
altitudes = t1.altitudes
assert altitudes[p1] == Segment(p1, Point(Rational(5, 2), Rational(5, 2)))
assert altitudes[p2] == s1[0]
assert altitudes[p3] == s1[2]
assert t1.orthocenter == p1
t = S('''Triangle(
Point(100080156402737/5000000000000, 79782624633431/500000000000),
示例6: test_bisectors
# 需要导入模块: from sympy.geometry import Triangle [as 别名]
# 或者: from sympy.geometry.Triangle import bisectors [as 别名]
def test_bisectors():
p1, p2, p3 = Point(0, 0), Point(1, 0), Point(0, 1)
t = Triangle(p1, p2, p3)
assert t.bisectors()[p2] == Segment(Point(1, 0), Point(0, sqrt(2) - 1))