本文整理汇总了Python中sympy.geometry.Point.scale方法的典型用法代码示例。如果您正苦于以下问题：Python Point.scale方法的具体用法？Python Point.scale怎么用？Python Point.scale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.Point的用法示例。
在下文中一共展示了Point.scale方法的5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_point
# 需要导入模块: from sympy.geometry import Point [as 别名]
# 或者: from sympy.geometry.Point import scale [as 别名]
def test_point():
p1 = Point(x1, x2)
p2 = Point(y1, y2)
p3 = Point(0, 0)
p4 = Point(1, 1)
assert len(p1) == 1
assert p1 in p1
assert p1 not in p2
assert p2[1] == y2
assert (p3+p4) == p4
assert (p2-p1) == Point(y1-x1, y2-x2)
assert p4*5 == Point(5, 5)
assert -p2 == Point(-y1, -y2)
assert Point.midpoint(p3, p4) == Point(half, half)
assert Point.midpoint(p1, p4) == Point(half + half*x1, half + half*x2)
assert Point.midpoint(p2, p2) == p2
assert p2.midpoint(p2) == p2
assert Point.distance(p3, p4) == sqrt(2)
assert Point.distance(p1, p1) == 0
assert Point.distance(p3, p2) == sqrt(p2.x**2 + p2.y**2)
p1_1 = Point(x1, x1)
p1_2 = Point(y2, y2)
p1_3 = Point(x1 + 1, x1)
assert Point.is_collinear(p3)
assert Point.is_collinear(p3, p4)
assert Point.is_collinear(p3, p4, p1_1, p1_2)
assert Point.is_collinear(p3, p4, p1_1, p1_3) == False
assert p3.intersection(Point(0, 0)) == [p3]
assert p3.intersection(p4) == []
x_pos = Symbol('x', real=True, positive=True)
p2_1 = Point(x_pos, 0)
p2_2 = Point(0, x_pos)
p2_3 = Point(-x_pos, 0)
p2_4 = Point(0, -x_pos)
p2_5 = Point(x_pos, 5)
assert Point.is_concyclic(p2_1)
assert Point.is_concyclic(p2_1, p2_2)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_4)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_5) == False
assert Point.is_concyclic(p4, p4 * 2, p4 * 3) == False
assert p4.scale(2, 3) == Point(2, 3)
assert p3.scale(2, 3) == p3
assert p4.rotate(pi, Point(0.5, 0.5)) == p3
assert p1.__radd__(p2) == p1.midpoint(p2).scale(2, 2)
assert (-p3).__rsub__(p4) == p3.midpoint(p4).scale(2, 2)
assert p4 * 5 == Point(5, 5)
assert p4 / 5 == Point(0.2, 0.2)
raises(ValueError, 'Point(0,0) + 10')示例2: test_point
# 需要导入模块: from sympy.geometry import Point [as 别名]
# 或者: from sympy.geometry.Point import scale [as 别名]
def test_point():
p1 = Point(x1, x2)
p2 = Point(y1, y2)
p3 = Point(0, 0)
p4 = Point(1, 1)
assert p1 in p1
assert p1 not in p2
assert p2.y == y2
assert (p3 + p4) == p4
assert (p2 - p1) == Point(y1 - x1, y2 - x2)
assert p4 * 5 == Point(5, 5)
assert -p2 == Point(-y1, -y2)
assert Point.midpoint(p3, p4) == Point(half, half)
assert Point.midpoint(p1, p4) == Point(half + half * x1, half + half * x2)
assert Point.midpoint(p2, p2) == p2
assert p2.midpoint(p2) == p2
assert Point.distance(p3, p4) == sqrt(2)
assert Point.distance(p1, p1) == 0
assert Point.distance(p3, p2) == sqrt(p2.x ** 2 + p2.y ** 2)
p1_1 = Point(x1, x1)
p1_2 = Point(y2, y2)
p1_3 = Point(x1 + 1, x1)
assert Point.is_collinear(p3)
assert Point.is_collinear(p3, p4)
assert Point.is_collinear(p3, p4, p1_1, p1_2)
assert Point.is_collinear(p3, p4, p1_1, p1_3) == False
assert p3.intersection(Point(0, 0)) == [p3]
assert p3.intersection(p4) == []
x_pos = Symbol("x", real=True, positive=True)
p2_1 = Point(x_pos, 0)
p2_2 = Point(0, x_pos)
p2_3 = Point(-x_pos, 0)
p2_4 = Point(0, -x_pos)
p2_5 = Point(x_pos, 5)
assert Point.is_concyclic(p2_1)
assert Point.is_concyclic(p2_1, p2_2)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_4)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_5) == False
assert Point.is_concyclic(p4, p4 * 2, p4 * 3) == False
assert p4.scale(2, 3) == Point(2, 3)
assert p3.scale(2, 3) == p3
assert p4.rotate(pi, Point(0.5, 0.5)) == p3
assert p1.__radd__(p2) == p1.midpoint(p2).scale(2, 2)
assert (-p3).__rsub__(p4) == p3.midpoint(p4).scale(2, 2)
assert p4 * 5 == Point(5, 5)
assert p4 / 5 == Point(0.2, 0.2)
raises(ValueError, lambda: Point(0, 0) + 10)
# Point differences should be simplified
assert Point(x * (x - 1), y) - Point(x ** 2 - x, y + 1) == Point(0, -1)
a, b = Rational(1, 2), Rational(1, 3)
assert Point(a, b).evalf(2) == Point(a.n(2), b.n(2))
raises(ValueError, lambda: Point(1, 2) + 1)
# test transformations
p = Point(1, 0)
assert p.rotate(pi / 2) == Point(0, 1)
assert p.rotate(pi / 2, p) == p
p = Point(1, 1)
assert p.scale(2, 3) == Point(2, 3)
assert p.translate(1, 2) == Point(2, 3)
assert p.translate(1) == Point(2, 1)
assert p.translate(y=1) == Point(1, 2)
assert p.translate(*p.args) == Point(2, 2)示例3: test_line
# 需要导入模块: from sympy.geometry import Point [as 别名]
# 或者: from sympy.geometry.Point import scale [as 别名]
def test_line():
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x1)
p4 = Point(y1, y1)
p5 = Point(x1, 1 + x1)
p6 = Point(1, 0)
p7 = Point(0, 1)
p8 = Point(2, 0)
p9 = Point(2, 1)
l1 = Line(p1, p2)
l2 = Line(p3, p4)
l3 = Line(p3, p5)
l4 = Line(p1, p6)
l5 = Line(p1, p7)
l6 = Line(p8, p9)
l7 = Line(p2, p9)
raises(ValueError, lambda: Line(Point(0, 0), Point(0, 0)))
# Basic stuff
assert Line((1, 1), slope=1) == Line((1, 1), (2, 2))
assert Line((1, 1), slope=oo) == Line((1, 1), (1, 2))
assert Line((1, 1), slope=-oo) == Line((1, 1), (1, 2))
raises(ValueError, lambda: Line((1, 1), 1))
assert Line(p1, p2) == Line(p2, p1)
assert l1 == l2
assert l1 != l3
assert l1.slope == 1
assert l1.length == oo
assert l3.slope == oo
assert l4.slope == 0
assert l4.coefficients == (0, 1, 0)
assert l4.equation(x=x, y=y) == y
assert l5.slope == oo
assert l5.coefficients == (1, 0, 0)
assert l5.equation() == x
assert l6.equation() == x - 2
assert l7.equation() == y - 1
assert p1 in l1 # is p1 on the line l1?
assert p1 not in l3
assert Line((-x, x), (-x + 1, x - 1)).coefficients == (1, 1, 0)
assert simplify(l1.equation()) in (x - y, y - x)
assert simplify(l3.equation()) in (x - x1, x1 - x)
assert Line(p1, p2).scale(2, 1) == Line(p1, p9)
assert l2.arbitrary_point() in l2
for ind in xrange(0, 5):
assert l3.random_point() in l3
# Orthogonality
p1_1 = Point(-x1, x1)
l1_1 = Line(p1, p1_1)
assert l1.perpendicular_line(p1) == l1_1
assert Line.is_perpendicular(l1, l1_1)
assert Line.is_perpendicular(l1, l2) == False
p = l1.random_point()
assert l1.perpendicular_segment(p) == p
# Parallelity
p2_1 = Point(-2 * x1, 0)
l2_1 = Line(p3, p5)
assert l2.parallel_line(p1_1) == Line(p2_1, p1_1)
assert l2_1.parallel_line(p1) == Line(p1, Point(0, 2))
assert Line.is_parallel(l1, l2)
assert Line.is_parallel(l2, l3) == False
assert Line.is_parallel(l2, l2.parallel_line(p1_1))
assert Line.is_parallel(l2_1, l2_1.parallel_line(p1))
# Intersection
assert intersection(l1, p1) == [p1]
assert intersection(l1, p5) == []
assert intersection(l1, l2) in [[l1], [l2]]
assert intersection(l1, l1.parallel_line(p5)) == []
# Concurrency
l3_1 = Line(Point(5, x1), Point(-Rational(3, 5), x1))
assert Line.is_concurrent(l1) == False
assert Line.is_concurrent(l1, l3)
assert Line.is_concurrent(l1, l3, l3_1)
assert Line.is_concurrent(l1, l1_1, l3) == False
# Projection
assert l2.projection(p4) == p4
assert l1.projection(p1_1) == p1
assert l3.projection(p2) == Point(x1, 1)
raises(GeometryError, lambda: Line(Point(0, 0), Point(1, 0)).projection(Circle(Point(0, 0), 1)))
# Finding angles
l1_1 = Line(p1, Point(5, 0))
assert feq(Line.angle_between(l1, l1_1).evalf(), pi.evalf() / 4)
# Testing Rays and Segments (very similar to Lines)
assert Ray((1, 1), angle=pi / 4) == Ray((1, 1), (2, 2))
assert Ray((1, 1), angle=pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=-pi / 2) == Ray((1, 1), (1, 0))
assert Ray((1, 1), angle=-3 * pi / 2) == Ray((1, 1), (1, 2))
assert Ray((1, 1), angle=5 * pi / 2) == Ray((1, 1), (1, 2))
#.........这里部分代码省略.........
示例4: test_point
# 需要导入模块: from sympy.geometry import Point [as 别名]
# 或者: from sympy.geometry.Point import scale [as 别名]
def test_point():
x = Symbol('x', real=True)
y = Symbol('y', real=True)
x1 = Symbol('x1', real=True)
x2 = Symbol('x2', real=True)
y1 = Symbol('y1', real=True)
y2 = Symbol('y2', real=True)
half = Rational(1, 2)
p1 = Point(x1, x2)
p2 = Point(y1, y2)
p3 = Point(0, 0)
p4 = Point(1, 1)
p5 = Point(0, 1)
assert p1 in p1
assert p1 not in p2
assert p2.y == y2
assert (p3 + p4) == p4
assert (p2 - p1) == Point(y1 - x1, y2 - x2)
assert p4*5 == Point(5, 5)
assert -p2 == Point(-y1, -y2)
raises(ValueError, lambda: Point(3, I))
raises(ValueError, lambda: Point(2*I, I))
raises(ValueError, lambda: Point(3 + I, I))
assert Point(34.05, sqrt(3)) == Point(Rational(681, 20), sqrt(3))
assert Point.midpoint(p3, p4) == Point(half, half)
assert Point.midpoint(p1, p4) == Point(half + half*x1, half + half*x2)
assert Point.midpoint(p2, p2) == p2
assert p2.midpoint(p2) == p2
assert Point.distance(p3, p4) == sqrt(2)
assert Point.distance(p1, p1) == 0
assert Point.distance(p3, p2) == sqrt(p2.x**2 + p2.y**2)
assert Point.taxicab_distance(p4, p3) == 2
p1_1 = Point(x1, x1)
p1_2 = Point(y2, y2)
p1_3 = Point(x1 + 1, x1)
assert Point.is_collinear(p3)
assert Point.is_collinear(p3, p4)
assert Point.is_collinear(p3, p4, p1_1, p1_2)
assert Point.is_collinear(p3, p4, p1_1, p1_3) is False
assert Point.is_collinear(p3, p3, p4, p5) is False
line = Line(Point(1,0), slope = 1)
raises(TypeError, lambda: Point.is_collinear(line))
raises(TypeError, lambda: p1_1.is_collinear(line))
assert p3.intersection(Point(0, 0)) == [p3]
assert p3.intersection(p4) == []
assert p1.dot(p4) == x1 + x2
assert p3.dot(p4) == 0
assert p4.dot(p5) == 1
x_pos = Symbol('x', real=True, positive=True)
p2_1 = Point(x_pos, 0)
p2_2 = Point(0, x_pos)
p2_3 = Point(-x_pos, 0)
p2_4 = Point(0, -x_pos)
p2_5 = Point(x_pos, 5)
assert Point.is_concyclic(p2_1)
assert Point.is_concyclic(p2_1, p2_2)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_4)
assert Point.is_concyclic(p2_1, p2_2, p2_3, p2_5) is False
assert Point.is_concyclic(p4, p4 * 2, p4 * 3) is False
assert p4.scale(2, 3) == Point(2, 3)
assert p3.scale(2, 3) == p3
assert p4.rotate(pi, Point(0.5, 0.5)) == p3
assert p1.__radd__(p2) == p1.midpoint(p2).scale(2, 2)
assert (-p3).__rsub__(p4) == p3.midpoint(p4).scale(2, 2)
assert p4 * 5 == Point(5, 5)
assert p4 / 5 == Point(0.2, 0.2)
raises(ValueError, lambda: Point(0, 0) + 10)
# Point differences should be simplified
assert Point(x*(x - 1), y) - Point(x**2 - x, y + 1) == Point(0, -1)
a, b = Rational(1, 2), Rational(1, 3)
assert Point(a, b).evalf(2) == \
Point(a.n(2), b.n(2))
raises(ValueError, lambda: Point(1, 2) + 1)
# test transformations
p = Point(1, 0)
assert p.rotate(pi/2) == Point(0, 1)
assert p.rotate(pi/2, p) == p
p = Point(1, 1)
assert p.scale(2, 3) == Point(2, 3)
assert p.translate(1, 2) == Point(2, 3)
assert p.translate(1) == Point(2, 1)
assert p.translate(y=1) == Point(1, 2)
assert p.translate(*p.args) == Point(2, 2)
# Check invalid input for transform
#.........这里部分代码省略.........
示例5: test_line_geom
# 需要导入模块: from sympy.geometry import Point [as 别名]
# 或者: from sympy.geometry.Point import scale [as 别名]
def test_line_geom():
x = Symbol('x', real=True)
y = Symbol('y', real=True)
x1 = Symbol('x1', real=True)
y1 = Symbol('y1', real=True)
half = Rational(1, 2)
p1 = Point(0, 0)
p2 = Point(1, 1)
p3 = Point(x1, x1)
p4 = Point(y1, y1)
p5 = Point(x1, 1 + x1)
p6 = Point(1, 0)
p7 = Point(0, 1)
p8 = Point(2, 0)
p9 = Point(2, 1)
l1 = Line(p1, p2)
l2 = Line(p3, p4)
l3 = Line(p3, p5)
l4 = Line(p1, p6)
l5 = Line(p1, p7)
l6 = Line(p8, p9)
l7 = Line(p2, p9)
raises(ValueError, lambda: Line(Point(0, 0), Point(0, 0)))
# Basic stuff
assert Line((1, 1), slope=1) == Line((1, 1), (2, 2))
assert Line((1, 1), slope=oo) == Line((1, 1), (1, 2))
assert Line((1, 1), slope=-oo) == Line((1, 1), (1, 2))
raises(TypeError, lambda: Line((1, 1), 1))
assert Line(p1, p2) == Line(p1, p2)
assert Line(p1, p2) != Line(p2, p1)
assert l1 != l2
assert l1 != l3
assert l1.slope == 1
assert l1.length == oo
assert l3.slope == oo
assert l4.slope == 0
assert l4.coefficients == (0, 1, 0)
assert l4.equation(x=x, y=y) == y
assert l5.slope == oo
assert l5.coefficients == (1, 0, 0)
assert l5.equation() == x
assert l6.equation() == x - 2
assert l7.equation() == y - 1
assert p1 in l1 # is p1 on the line l1?
assert p1 not in l3
assert Line((-x, x), (-x + 1, x - 1)).coefficients == (1, 1, 0)
assert simplify(l1.equation()) in (x - y, y - x)
assert simplify(l3.equation()) in (x - x1, x1 - x)
assert Line(p1, p2).scale(2, 1) == Line(p1, p9)
assert l2.arbitrary_point() in l2
for ind in range(0, 5):
assert l3.random_point() in l3
# Orthogonality
p1_1 = Point(-x1, x1)
l1_1 = Line(p1, p1_1)
assert l1.perpendicular_line(p1.args).equals( Line(Point(0, 0), Point(1, -1)) )
assert l1.perpendicular_line(p1).equals( Line(Point(0, 0), Point(1, -1)) )
assert Line.is_perpendicular(l1, l1_1)
assert Line.is_perpendicular(l1, l2) is False
p = l1.random_point()
assert l1.perpendicular_segment(p) == p
# Parallelity
l2_1 = Line(p3, p5)
assert l2.parallel_line(p1_1).equals( Line(Point(-x1, x1), Point(-y1, 2*x1 - y1)) )
assert l2_1.parallel_line(p1.args).equals( Line(Point(0, 0), Point(0, -1)) )
assert l2_1.parallel_line(p1).equals( Line(Point(0, 0), Point(0, -1)) )
assert Line.is_parallel(l1, l2)
assert Line.is_parallel(l2, l3) is False
assert Line.is_parallel(l2, l2.parallel_line(p1_1))
assert Line.is_parallel(l2_1, l2_1.parallel_line(p1))
# Intersection
assert intersection(l1, p1) == [p1]
assert intersection(l1, p5) == []
assert intersection(l1, l2) in [[l1], [l2]]
assert intersection(l1, l1.parallel_line(p5)) == []
# Concurrency
l3_1 = Line(Point(5, x1), Point(-Rational(3, 5), x1))
assert Line.are_concurrent(l1) is False
assert Line.are_concurrent(l1, l3)
assert Line.are_concurrent(l1, l1, l1, l3)
assert Line.are_concurrent(l1, l3, l3_1)
assert Line.are_concurrent(l1, l1_1, l3) is False
# Projection
assert l2.projection(p4) == p4
assert l1.projection(p1_1) == p1
assert l3.projection(p2) == Point(x1, 1)
raises(GeometryError, lambda: Line(Point(0, 0), Point(1, 0))
.projection(Circle(Point(0, 0), 1)))
# Finding angles
#.........这里部分代码省略.........