Python Triangle.bisectors方法代码示例

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

开发者ID:flacjacket，项目名称:sympy，代码行数:104，代码来源:test_geometry.py

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

开发者ID:Misbah6317，项目名称:sympy，代码行数:104，代码来源:test_geometry.py

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.........

开发者ID:addisonc，项目名称:sympy，代码行数:103，代码来源:test_geometry.py

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

开发者ID:Grahack，项目名称:geophar，代码行数:104，代码来源:test_geometry.py

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),

开发者ID:alexako，项目名称:sympy，代码行数:70，代码来源:test_polygon.py

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))

开发者ID:bjodah，项目名称:sympy，代码行数:6，代码来源:test_polygon.py

注：本文中的sympy.geometry.Triangle.bisectors方法示例由纯净天空整理自Github/MSDocs等开源代码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。