PK! twod/__init__.py"""provides two dimensional geometric objects """ __version__ = "0.1.5" from .point import Point from .rect import Rect from .exceptions import ColinearPoints __all__ = ["Point", "Rect", "ColinearPoints"] PK!"44twod/exceptions.py""" """ class ColinearPoints(Exception): pass PK!k4·'' twod/point.py""" a two-dimensional geometric point. """ import math from dataclasses import dataclass, astuple from .exceptions import ColinearPoints @dataclass class Point: x: int = 0 y: int = 0 """The Point class is a representation of a two dimensional geometric point. It has an 'x' coordinate and a 'y' coordinate. >>> p = Point() >>> p.is_origin True """ @property def is_origin(self): """Returns True iff x == 0 and y == 0. """ return self.x == 0 and self.y == 0 def __iter__(self): """Returns an iterator over tuple of classes' fields. """ return iter(astuple(self)) def __add__(self, other): """Adds other to self and returns a new Point. If other has attributes x and y, returns a new Point: Point(self.x + other.x, self.y + other.y) Otherwise, other is treated as a scalar and added to both x and y: Point(self.x + other, self.y + other) """ try: return Point(self.x + other.x, self.y + other.y) except AttributeError: pass return Point(self.x + other, self.y + other) def __iadd__(self, other): """Adds other to self in-place and returns self. If other has attributes x and y, adds those values to self in-place. Otherwise, other is treated as a scalar value and added to both x and y in-place. """ try: self.x += other.x self.y += other.y return self except AttributeError: pass self.x += other self.y += other return self def __sub__(self, other): """Subtracts other from self and returns a new Point. If other has attributes x and y, returns a new Point: Point(self.x - other.x, self.y - other.y) Otherwise, other is treated as a scalar and subtracted from both x and y: Point(self.x - other, self.y - other) """ try: return Point(self.x - other.x, self.y - other.y) except AttributeError: pass return Point(self.x - other, self.y - other) def __isub__(self, other): """Subtracts other from self in-place and returns self. If other has attributes x and y, subtracts those values from self in-place. Otherwise, other is treated as a scalar value and subtracted from both x and y in-place. """ try: self.x -= other.x self.y -= other.y return self except AttributeError: pass self.x -= other self.y -= other return self def __mul__(self, other): """Multiplies other to self and returns a new Point. If other has attributes x and y, returns a new Point: Point(self.x * other.x, self.y * other.y) Otherwise, other is treated as a scalar and multiplied with both x and y: Point(self.x * other, self.y * other) """ try: return Point(self.x * other.x, self.y * other.y) except AttributeError: pass return Point(self.x * other, self.y * other) def __imul__(self, other): """Multiplies other to self in-place and returns self. If other has attributes x and y, multiplies those values with self in-place. Otherwise, other is treated as a scalar value and multiplied with both x and y in-place. """ try: self.x *= other.x self.y *= other.y return self except AttributeError: pass self.x *= other self.y *= other return self def __truediv__(self, other): """Divides self with other and returns a new Point. If other has attributes x and y, returns a new Point: Point(self.x / other.x, self.y / other.y) Otherwise, other is treated as a scalar and divides both x and y: Point(self.x / other, self.y / other) """ try: return Point(self.x / other.x, self.y / other.y) except AttributeError: pass return Point(self.x / other, self.y / other) def __itruediv__(self, other): """Divides self with other in-place and returns self. If other has attributes x and y, self is divided by those values in-place. Otherwise, other is treated as a scalar value and divides both x and y in-place. """ try: self.x /= other.x self.y /= other.y return self except AttributeError: pass self.x /= other self.y /= other return self def __floordiv__(self, other): """Divides self with other and returns a new Point. If other has attributes x and y, returns a new Point: Point(self.x // other.x, self.y // other.y) Otherwise, other is treated as a scalar and divides both x and y: Point(self.x // other, self.y // other) """ try: return Point(self.x // other.x, self.y // other.y) except AttributeError: pass return Point(self.x // other, self.y // other) def __ifloordiv__(self, other): """Divides self with other in-place and returns self. If other has attributes x and y, self is divided by those values in-place. Otherwise, other is treated as a scalar value and divides both x and y in-place. """ try: self.x //= other.x self.y //= other.y return self except AttributeError: pass self.x //= other self.y //= other return self def __pow__(self, exponent): """Raises each coordinate to the given exponent and returns a new Point. """ return Point(self.x ** exponent, self.y ** exponent) def __ipow__(self, exponent): """Raises each coordinate to the given exponent in-place and returns self. """ self.x **= exponent self.y **= exponent return self def __abs__(self): """Applies the absolute value function to each coordinate and returns a new Point. """ return Point(abs(self.x), abs(self.y)) def __neg__(self): """Applies negation to each coordinate and returns a new Point. """ return self * -1 def __invert__(self): """Inverts each coordinate of self and returns a new Point. """ return Point(~self.x, ~self.y) def distance(self, other=None): """Returns the floating point distance between self and other. If other is not specified, the distance from self to the origin is calculated. Note: This method is implemented with math.sqrt and may incur a performance penalty making it not suitable for tight loops. For partial ordering, see the distance_squared method. """ return math.sqrt(self.distance_squared(other or Point())) def distance_squared(self, other=None): """Returns the floating point squared distance between self and other. If other is not specified, the sequared distance from self to the origin is calculated. Note: """ return sum((((other or Point()) - self) ** 2)) def dot(self, other): """Returns a scalar dot product of self with other. """ return sum(self * other) def cross(self, other): """Returns a scalar cross product of self with other. """ return (self.x * other.y) + (self.y * other.x) def ccw(self, b, c): """Returns a floating point value indicating the winding direction of the points [self, b, c]. If ccw < 0, clock-wise winding If ccw > 0, counter clock-wise winding If ccw == 0, the three points are colinear Note: ccw is also 2*area of the triangle [self, b, c]. """ return ((b.x - self.x) * (c.y - self.y)) - ( (c.x - self.x) * (b.y - self.y) ) def is_ccw(self, b, c): """Returns True if the angle [self, b, c] has counter clock-wise winding, else False. Raises the exception ColinearPoints if the points are colinear. """ result = self.ccw(b, c) if result == 0: raise ColinearPoints(self, b, c) return result > 0 def is_colinear(self, b, c): """Returns True if the angle [self, b, c ] is a line, else False. """ return self.ccw(b, c) == 0 def midpoint(self, other=None): """Returns a new Point between self and other. If other is not specified, the midpoint between self and the origin is calculated. """ return (self + (other or Point())) / 2 def between(self, p, q): """Returns True if self is bounded by the points [p, q], else False The bounds are checked by less than or equal to (<=) so self is considered between if it resides on any of the lines constructed using [p,q]. """ i = self.x >= min(p.x, q.x) and self.x <= max(p.x, q.x) j = self.y >= min(p.y, q.y) and self.y <= max(p.y, q.y) return i and j def inside(self, p, q): """Returns True if self is bounded by the points (p, q), else False The bounds are checked by less than (<) so self is considered inside if it does not reside on any of the lines constructed using (p,q). """ i = self.x > min(p.x, q.x) and self.x < max(p.x, q.x) j = self.y > min(p.y, q.y) and self.y < max(p.y, q.y) return i and j @dataclass(unsafe_hash=True) class HashablePoint(Point): pass PK!B9>> twod/rect.py"""a two dimensional Rectangle """ from .point import Point from dataclasses import dataclass, astuple @dataclass class Rect(Point): w: int = 0 h: int = 0 @property def A(self): return Point(self.x, self.y) @property def B(self): return Point(self.x + self.w, self.y) @property def C(self): return Point(self.x, self.y) + Point(self.w, self.h) @property def D(self): return Point(self.x, self.y + self.h) @property def vertices(self): return [self.A, self.B, self.C, self.D] @property def center(self): return self.A.midpoint(self.C) def __contains__(self, other): if not isinstance(other, Rect): return other.between(self.A, self.C) for v in other.vertices: if v.between(self.A, self.C): return True for v in self.vertices: if v.between(other.A, other.C): return True return False def __add__(self, other): """ """ x = self.x + other.x y = self.y + other.y try: w = self.w + other.w h = self.h + other.h except AttributeError: w = self.w h = self.h return Rect(x, y, w, h) def __iadd__(self, other): """ """ self.x += other.x self.y += other.y try: self.w += other.w self.h += other.h except AttributeError: pass return self def __sub__(self, other): """ """ x = self.x - other.x y = self.y - other.y try: w = self.w - other.w h = self.h - other.h except AttributeError: w = self.w h = self.h return Rect(x, y, w, h) def __isub__(self, other): """ """ self.x -= other.x self.y -= other.y try: self.w -= other.w self.h -= other.h except AttributeError: pass return self def __mul__(self, other): """ """ x = self.x * other.x y = self.y * other.y try: w = self.w * other.w h = self.h * other.h except AttributeError: w = self.w h = self.h return Rect(x, y, w, h) def __imul__(self, other): self.x *= other.x self.y *= other.y try: self.w *= other.w self.h *= other.h except AttributeError: pass return self def __truediv__(self, other): try: x = self.x / other.x y = self.y / other.y try: w = self.w / other.w h = self.h / other.h except AttributeError: w = self.w h = self.h return Rect(x, y, w, h) except ZeroDivisionError: raise ZeroDivisionError(other) def __itruediv__(self, other): try: self.x /= other.x self.y /= other.y try: self.w /= other.w self.h /= other.h except AttributeError: pass return self except ZeroDivisionError: raise ZeroDivisionError(other) def __floordiv__(self, other): try: x = self.x // other.x y = self.y // other.y try: w = self.w // other.w h = self.h // other.h except AttributeError: w = self.w h = self.h return Rect(x, y, w, h) except ZeroDivisionError: raise ZeroDivisionError(other) def __ifloordiv__(self, other): try: self.x //= other.x self.y //= other.y try: self.w //= other.w self.h //= other.h except AttributeError: pass return self except ZeroDivisionError: raise ZeroDivisionError(other) PK!]{],],twod-0.1.5.dist-info/LICENSE Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. PK!HlUTtwod-0.1.5.dist-info/WHEEL HM K-*ϳR03rOK-J,/R(O-)T0343 /, (-JLR()*M IL*4KM̫PK!H9ѻtwod-0.1.5.dist-info/METADATAT[O0~yP&l݆1R*.#uCbpbc;H;NR46X|}^̄ON*mƢ}o.Ka7]bdDN_c6VnͰWBno*kW:/*tt]4i(ݍO&W9y-'VVr*$doj.;@Yi2箐fKBN_o𑻫wJB/l9„<4* zL$ؚGsm}RW9 :zTrH)-0JUYk]-8U:K?|V&6]7PK!Hj4H8twod-0.1.5.dist-info/RECORDmr@{549$,AY2ll=,~LʃWdIR&ɺ]p:gZI3끹r7FrŏB `!B|NV #ӹZ2n }@A_joCgnHٶ o6:[^_a/cl;dqjEI]e# @Qm<}\<}qn>a[n v(;PkaU]Uh^mS=gLKhOtײ cX48w  Mgİ<7 '.*u,O'N1Z'Fw2> F)twod/rect.pyPK!]{],],9twod-0.1.5.dist-info/LICENSEPK!HlUTEftwod-0.1.5.dist-info/WHEELPK!H9ѻftwod-0.1.5.dist-info/METADATAPK!Hj4H8itwod-0.1.5.dist-info/RECORDPKk