bpo-41528: Use math module in turtle (GH-21837)

https://github.com/python/cpython/commit/6844b56176c41f0a0e25fcd4fef5463bcdb... commit: 6844b56176c41f0a0e25fcd4fef5463bcdbc7d7c branch: master author: Marek Madejski <marekmadejski@yandex.com> committer: GitHub <noreply@github.com> date: 2020-09-01T12:42:41-04:00 summary: bpo-41528: Use math module in turtle (GH-21837) Use angle-related functions from math module instead of reinventing the wheel. files: A Misc/NEWS.d/next/Library/2020-08-12-07-43-31.bpo-41528.bu83oD.rst M Lib/turtle.py diff --git a/Lib/turtle.py b/Lib/turtle.py index ee67a351b54f1..92d4e5dda9c2d 100644 --- a/Lib/turtle.py +++ b/Lib/turtle.py @@ -263,12 +263,12 @@ def __sub__(self, other): def __neg__(self): return Vec2D(-self[0], -self[1]) def __abs__(self): - return (self[0]**2 + self[1]**2)**0.5 + return math.hypot(*self) def rotate(self, angle): """rotate self counterclockwise by angle """ perp = Vec2D(-self[1], self[0]) - angle = angle * math.pi / 180.0 + angle = math.radians(angle) c, s = math.cos(angle), math.sin(angle) return Vec2D(self[0]*c+perp[0]*s, self[1]*c+perp[1]*s) def __getnewargs__(self): @@ -1597,7 +1597,7 @@ def radians(self): >>> turtle.heading() 1.5707963267948966 """ - self._setDegreesPerAU(2*math.pi) + self._setDegreesPerAU(math.tau) def _go(self, distance): """move turtle forward by specified distance""" @@ -1888,7 +1888,7 @@ def towards(self, x, y=None): elif isinstance(x, TNavigator): pos = x._position x, y = pos - self._position - result = round(math.atan2(y, x)*180.0/math.pi, 10) % 360.0 + result = round(math.degrees(math.atan2(y, x)), 10) % 360.0 result /= self._degreesPerAU return (self._angleOffset + self._angleOrient*result) % self._fullcircle @@ -1903,7 +1903,7 @@ def heading(self): 67.0 """ x, y = self._orient - result = round(math.atan2(y, x)*180.0/math.pi, 10) % 360.0 + result = round(math.degrees(math.atan2(y, x)), 10) % 360.0 result /= self._degreesPerAU return (self._angleOffset + self._angleOrient*result) % self._fullcircle @@ -1976,7 +1976,7 @@ def circle(self, radius, extent = None, steps = None): steps = 1+int(min(11+abs(radius)/6.0, 59.0)*frac) w = 1.0 * extent / steps w2 = 0.5 * w - l = 2.0 * radius * math.sin(w2*math.pi/180.0*self._degreesPerAU) + l = 2.0 * radius * math.sin(math.radians(w2)*self._degreesPerAU) if radius < 0: l, w, w2 = -l, -w, -w2 tr = self._tracer() @@ -2861,7 +2861,7 @@ def settiltangle(self, angle): >>> turtle.fd(50) """ tilt = -angle * self._degreesPerAU * self._angleOrient - tilt = (tilt * math.pi / 180.0) % (2*math.pi) + tilt = math.radians(tilt) % math.tau self.pen(resizemode="user", tilt=tilt) def tiltangle(self, angle=None): @@ -2885,7 +2885,7 @@ def tiltangle(self, angle=None): >>> turtle.tiltangle() """ if angle is None: - tilt = -self._tilt * (180.0/math.pi) * self._angleOrient + tilt = -math.degrees(self._tilt) * self._angleOrient return (tilt / self._degreesPerAU) % self._fullcircle else: self.settiltangle(angle) @@ -2939,7 +2939,7 @@ def shapetransform(self, t11=None, t12=None, t21=None, t22=None): if t11 * t22 - t12 * t21 == 0: raise TurtleGraphicsError("Bad shape transform matrix: must not be singular") self._shapetrafo = (m11, m12, m21, m22) - alfa = math.atan2(-m21, m11) % (2 * math.pi) + alfa = math.atan2(-m21, m11) % math.tau sa, ca = math.sin(alfa), math.cos(alfa) a11, a12, a21, a22 = (ca*m11 - sa*m21, ca*m12 - sa*m22, sa*m11 + ca*m21, sa*m12 + ca*m22) diff --git a/Misc/NEWS.d/next/Library/2020-08-12-07-43-31.bpo-41528.bu83oD.rst b/Misc/NEWS.d/next/Library/2020-08-12-07-43-31.bpo-41528.bu83oD.rst new file mode 100644 index 0000000000000..a4ba57c2438ed --- /dev/null +++ b/Misc/NEWS.d/next/Library/2020-08-12-07-43-31.bpo-41528.bu83oD.rst @@ -0,0 +1 @@ +turtle uses math module functions to convert degrees to radians and vice versa and to calculate vector norm \ No newline at end of file
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Marek Madejski