def rotate(self, angle=0, pt=None):
"""Rotate ``angle`` radians counterclockwise about Point ``pt``.
The default pt is the origin, Point(0, 0).
Examples
========
>>> from sympy.geometry.curve import Curve
>>> from sympy.abc import x
>>> from sympy import pi
>>> Curve((x, x), (x, 0, 1)).rotate(pi/2)
Curve((-x, x), (x, 0, 1))
"""
from sympy.matrices import Matrix, rot_axis3
pt = -Point(pt or (0, 0))
rv = self.translate(*pt.args)
f = list(rv.functions)
f.append(0)
f = Matrix(1, 3, f)
f *= rot_axis3(angle)
rv = self.func(f[0, :2].tolist()[0], self.limits)
if pt is not None:
pt = -pt
return rv.translate(*pt.args)
return rv
def rotate(self, angle=0, pt=None):
"""Rotate ``angle`` radians counterclockwise about Point ``pt``.
The default pt is the origin, Point(0, 0).
Examples
========
>>> from sympy.geometry.curve import Curve
>>> from sympy.abc import x
>>> from sympy import pi
>>> Curve((x, x), (x, 0, 1)).rotate(pi/2)
Curve((-x, x), (x, 0, 1))
"""
from sympy.matrices import Matrix, rot_axis3
pt = -Point(pt or (0, 0))
rv = self.translate(*pt.args)
f = list(rv.functions)
f.append(0)
f = Matrix(1, 3, f)
f *= rot_axis3(angle)
rv = self.func(f[0, :2].tolist()[0], self.limits)
if pt is not None:
pt = -pt
return rv.translate(*pt.args)
return rv
def rotate(self, angle=0, pt=None):
"""This function is used to rotate a curve along given point ``pt`` at given angle(in radian).
Parameters
==========
angle :
the angle at which the curve will be rotated(in radian) in counterclockwise direction.
default value of angle is 0.
pt : Point
the point along which the curve will be rotated.
If no point given, the curve will be rotated around origin.
Returns
=======
Curve :
returns a curve rotated at given angle along given point.
Examples
========
>>> from sympy.geometry.curve import Curve
>>> from sympy.abc import x
>>> from sympy import pi
>>> Curve((x, x), (x, 0, 1)).rotate(pi/2)
Curve((-x, x), (x, 0, 1))
"""
from sympy.matrices import Matrix, rot_axis3
if pt:
pt = -Point(pt, dim=2)
else:
pt = Point(0, 0)
rv = self.translate(*pt.args)
f = list(rv.functions)
f.append(0)
f = Matrix(1, 3, f)
f *= rot_axis3(angle)
rv = self.func(f[0, :2].tolist()[0], self.limits)
if pt is not None:
pt = -pt
return rv.translate(*pt.args)
return rv
