commit 397963db9606f539b1786a392af97ebf089e0a47
parent 26bd426d2d35821ba0018e0c58502d091bbd206f
Author: Yuval Langer <yuvallangerontheroad@gmail.com>
Date: Sat, 27 Jun 2020 19:20:53 +0300
Update and curvey stuff.
Diffstat:
7 files changed, 491 insertions(+), 172 deletions(-)
diff --git a/dabbling/hilbert_curve.py b/dabbling/hilbert_curve.py
@@ -1,69 +0,0 @@
-def mirror_on_y(path):
- max_x = max(p[0] for p in path)
- return [(abs(p[0] - max_x), p[1]) for p in path]
-
-
-def mirror_on_x(path):
- max_y = max(p[1] for p in path)
- return [(p[0], abs(p[1] - max_y)) for p in path]
-
-
-def mirror_on_xy(path):
- return [(p[1], p[0]) for p in path]
-
-
-def right_flip(path):
- path = mirror_on_y(path)
- path = mirror_on_xy(path)
- path = mirror_on_y(path)
-
- return path
-
-
-def left_flip(path):
- return mirror_on_xy(path)
-
-
-def hilbert_curve(iterations=3):
- curve_coordinates = [
- (0, 0),
- (0, 1),
- (1, 1),
- (1, 0),
- ]
-
- for i in range(iterations):
- curve_coordinates = (
- left_flip(curve_coordinates) +
- [(p[0], p[1] + 2 ** (i + 1)) for p in curve_coordinates] +
- [(p[0] + 2 ** (i + 1), p[1] + 2 ** (i + 1)) for p in curve_coordinates] +
- [(p[0] + 2 ** (i + 1), p[1]) for p in right_flip(curve_coordinates)]
- )
-
- return curve_coordinates
-
-
-def make_svg_content(
- path,
- image_width = 500,
- image_height = 500,
- ):
- min_x = min(p[0] for p in path)
- min_y = min(p[1] for p in path)
- max_x = max(p[0] for p in path)
- max_y = max(p[1] for p in path)
- path = mirror_on_x(path)
- stroke_width = min(0.1 * max_x, 0.1)
- svg_path = f'M{path[0][0]} {path[0][1]}' + ''.join(f'L{p[0]} {p[1]}' for p in path)
- return f'''
-<svg width="{image_width}" height="{image_height}" viewBox="0 0 {max_x} {max_y}" fill="white" xmlns="http://www.w3.org/2000/svg">
- <path stroke="black" stroke-width="{stroke_width}" d="{svg_path}"/>
-</svg>'''
-
-
-if __name__ == '__main__':
- import sys
- path = hilbert_curve(int(sys.argv[1]))
- svg_content = make_svg_content(path)
- with open('hilbert-curve.svg', 'w') as f:
- f.write(svg_content)
diff --git a/poetry.lock b/poetry.lock
@@ -1,4 +1,12 @@
[[package]]
+category = "dev"
+description = "A small Python module for determining appropriate platform-specific dirs, e.g. a \"user data dir\"."
+name = "appdirs"
+optional = false
+python-versions = "*"
+version = "1.4.4"
+
+[[package]]
category = "main"
description = "Disable App Nap on OS X 10.9"
marker = "python_version >= \"3.3\" and sys_platform == \"darwin\" or platform_system == \"Darwin\""
@@ -37,7 +45,7 @@ marker = "python_version >= \"3.3\""
name = "backcall"
optional = false
python-versions = "*"
-version = "0.1.0"
+version = "0.2.0"
[[package]]
category = "main"
@@ -55,6 +63,26 @@ html5lib = ["html5lib"]
lxml = ["lxml"]
[[package]]
+category = "dev"
+description = "The uncompromising code formatter."
+name = "black"
+optional = false
+python-versions = ">=3.6"
+version = "19.10b0"
+
+[package.dependencies]
+appdirs = "*"
+attrs = ">=18.1.0"
+click = ">=6.5"
+pathspec = ">=0.6,<1"
+regex = "*"
+toml = ">=0.9.4"
+typed-ast = ">=1.4.0"
+
+[package.extras]
+d = ["aiohttp (>=3.3.2)", "aiohttp-cors"]
+
+[[package]]
category = "main"
description = "An easy safelist-based HTML-sanitizing tool."
name = "bleach"
@@ -73,7 +101,7 @@ description = "Python package for providing Mozilla's CA Bundle."
name = "certifi"
optional = false
python-versions = "*"
-version = "2020.4.5.1"
+version = "2020.6.20"
[[package]]
category = "main"
@@ -101,6 +129,22 @@ python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
version = "0.4.3"
[[package]]
+category = "dev"
+description = "Code coverage measurement for Python"
+name = "coverage"
+optional = false
+python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*, <4"
+version = "5.1"
+
+[package.dependencies]
+[package.dependencies.toml]
+optional = true
+version = "*"
+
+[package.extras]
+toml = ["toml"]
+
+[[package]]
category = "main"
description = "Composable style cycles"
name = "cycler"
@@ -150,14 +194,14 @@ marker = "python_version < \"3.8\""
name = "importlib-metadata"
optional = false
python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,>=2.7"
-version = "1.6.0"
+version = "1.6.1"
[package.dependencies]
zipp = ">=0.5"
[package.extras]
docs = ["sphinx", "rst.linker"]
-testing = ["packaging", "importlib-resources"]
+testing = ["packaging", "pep517", "importlib-resources (>=1.3)"]
[[package]]
category = "main"
@@ -245,14 +289,14 @@ marker = "python_version >= \"3.3\""
name = "jedi"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
-version = "0.17.0"
+version = "0.17.1"
[package.dependencies]
-parso = ">=0.7.0"
+parso = ">=0.7.0,<0.8.0"
[package.extras]
qa = ["flake8 (3.7.9)"]
-testing = ["colorama", "docopt", "pytest (>=3.9.0,<5.0.0)"]
+testing = ["Django (<3.1)", "colorama", "docopt", "pytest (>=3.9.0,<5.0.0)"]
[[package]]
category = "main"
@@ -376,7 +420,7 @@ description = "Python plotting package"
name = "matplotlib"
optional = false
python-versions = ">=3.6"
-version = "3.2.1"
+version = "3.2.2"
[package.dependencies]
cycler = ">=0.10"
@@ -399,7 +443,31 @@ description = "More routines for operating on iterables, beyond itertools"
name = "more-itertools"
optional = false
python-versions = ">=3.5"
-version = "8.3.0"
+version = "8.4.0"
+
+[[package]]
+category = "dev"
+description = "Optional static typing for Python"
+name = "mypy"
+optional = false
+python-versions = ">=3.5"
+version = "0.780"
+
+[package.dependencies]
+mypy-extensions = ">=0.4.3,<0.5.0"
+typed-ast = ">=1.4.0,<1.5.0"
+typing-extensions = ">=3.7.4"
+
+[package.extras]
+dmypy = ["psutil (>=4.0)"]
+
+[[package]]
+category = "dev"
+description = "Experimental type system extensions for programs checked with the mypy typechecker."
+name = "mypy-extensions"
+optional = false
+python-versions = "*"
+version = "0.4.3"
[[package]]
category = "main"
@@ -435,7 +503,7 @@ description = "The Jupyter Notebook format"
name = "nbformat"
optional = false
python-versions = ">=3.5"
-version = "5.0.6"
+version = "5.0.7"
[package.dependencies]
ipython-genutils = "*"
@@ -444,7 +512,7 @@ jupyter-core = "*"
traitlets = ">=4.1"
[package.extras]
-test = ["testpath", "pytest", "pytest-cov"]
+test = ["pytest", "pytest-cov", "testpath"]
[[package]]
category = "main"
@@ -477,8 +545,8 @@ category = "main"
description = "NumPy is the fundamental package for array computing with Python."
name = "numpy"
optional = false
-python-versions = ">=3.5"
-version = "1.18.5"
+python-versions = ">=3.6"
+version = "1.19.0"
[[package]]
category = "main"
@@ -498,7 +566,7 @@ description = "Powerful data structures for data analysis, time series, and stat
name = "pandas"
optional = false
python-versions = ">=3.6.1"
-version = "1.0.4"
+version = "1.0.5"
[package.dependencies]
numpy = ">=1.13.3"
@@ -529,6 +597,14 @@ version = "0.7.0"
testing = ["docopt", "pytest (>=3.0.7)"]
[[package]]
+category = "dev"
+description = "Utility library for gitignore style pattern matching of file paths."
+name = "pathspec"
+optional = false
+python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
+version = "0.8.0"
+
+[[package]]
category = "main"
description = "Pexpect allows easy control of interactive console applications."
marker = "python_version >= \"3.3\" and sys_platform != \"win32\""
@@ -602,7 +678,7 @@ description = "library with cross-python path, ini-parsing, io, code, log facili
name = "py"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*"
-version = "1.8.1"
+version = "1.8.2"
[[package]]
category = "main"
@@ -658,6 +734,21 @@ checkqa-mypy = ["mypy (v0.761)"]
testing = ["argcomplete", "hypothesis (>=3.56)", "mock", "nose", "requests", "xmlschema"]
[[package]]
+category = "dev"
+description = "Pytest plugin for measuring coverage."
+name = "pytest-cov"
+optional = false
+python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
+version = "2.10.0"
+
+[package.dependencies]
+coverage = ">=4.4"
+pytest = ">=4.6"
+
+[package.extras]
+testing = ["fields", "hunter", "process-tests (2.0.2)", "six", "pytest-xdist", "virtualenv"]
+
+[[package]]
category = "main"
description = "Extensions to the standard Python datetime module"
name = "python-dateutil"
@@ -683,7 +774,7 @@ marker = "sys_platform == \"win32\""
name = "pywin32"
optional = false
python-versions = "*"
-version = "227"
+version = "228"
[[package]]
category = "main"
@@ -733,12 +824,20 @@ python-versions = "*"
version = "1.9.0"
[[package]]
+category = "dev"
+description = "Alternative regular expression module, to replace re."
+name = "regex"
+optional = false
+python-versions = "*"
+version = "2020.6.8"
+
+[[package]]
category = "main"
description = "Python HTTP for Humans."
name = "requests"
optional = false
python-versions = ">=2.7, !=3.0.*, !=3.1.*, !=3.2.*, !=3.3.*, !=3.4.*"
-version = "2.23.0"
+version = "2.24.0"
[package.dependencies]
certifi = ">=2017.4.17"
@@ -799,6 +898,14 @@ version = "0.4.4"
test = ["pathlib2"]
[[package]]
+category = "dev"
+description = "Python Library for Tom's Obvious, Minimal Language"
+name = "toml"
+optional = false
+python-versions = "*"
+version = "0.10.1"
+
+[[package]]
category = "main"
description = "Tornado is a Python web framework and asynchronous networking library, originally developed at FriendFeed."
name = "tornado"
@@ -823,6 +930,22 @@ six = "*"
test = ["pytest", "mock"]
[[package]]
+category = "dev"
+description = "a fork of Python 2 and 3 ast modules with type comment support"
+name = "typed-ast"
+optional = false
+python-versions = "*"
+version = "1.4.1"
+
+[[package]]
+category = "dev"
+description = "Backported and Experimental Type Hints for Python 3.5+"
+name = "typing-extensions"
+optional = false
+python-versions = "*"
+version = "3.7.4.2"
+
+[[package]]
category = "main"
description = "HTTP library with thread-safe connection pooling, file post, and more."
name = "urllib3"
@@ -841,7 +964,7 @@ description = "Measures the displayed width of unicode strings in a terminal"
name = "wcwidth"
optional = false
python-versions = "*"
-version = "0.2.3"
+version = "0.2.4"
[[package]]
category = "main"
@@ -876,10 +999,14 @@ docs = ["sphinx", "jaraco.packaging (>=3.2)", "rst.linker (>=1.9)"]
testing = ["jaraco.itertools", "func-timeout"]
[metadata]
-content-hash = "918ee1c9d3f59b64eac6947c2decf0349a143665ec560e519f846de7f49f3f74"
+content-hash = "c205bfedb77cae261819851755bd1943d571e7e00cb9df898ede7a8052902301"
python-versions = ">=3.6.1,<4"
[metadata.files]
+appdirs = [
+ {file = "appdirs-1.4.4-py2.py3-none-any.whl", hash = "sha256:a841dacd6b99318a741b166adb07e19ee71a274450e68237b4650ca1055ab128"},
+ {file = "appdirs-1.4.4.tar.gz", hash = "sha256:7d5d0167b2b1ba821647616af46a749d1c653740dd0d2415100fe26e27afdf41"},
+]
appnope = [
{file = "appnope-0.1.0-py2.py3-none-any.whl", hash = "sha256:5b26757dc6f79a3b7dc9fab95359328d5747fcb2409d331ea66d0272b90ab2a0"},
{file = "appnope-0.1.0.tar.gz", hash = "sha256:8b995ffe925347a2138d7ac0fe77155e4311a0ea6d6da4f5128fe4b3cbe5ed71"},
@@ -893,21 +1020,25 @@ attrs = [
{file = "attrs-19.3.0.tar.gz", hash = "sha256:f7b7ce16570fe9965acd6d30101a28f62fb4a7f9e926b3bbc9b61f8b04247e72"},
]
backcall = [
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- {file = "backcall-0.1.0.zip", hash = "sha256:bbbf4b1e5cd2bdb08f915895b51081c041bac22394fdfcfdfbe9f14b77c08bf2"},
+ {file = "backcall-0.2.0-py2.py3-none-any.whl", hash = "sha256:fbbce6a29f263178a1f7915c1940bde0ec2b2a967566fe1c65c1dfb7422bd255"},
+ {file = "backcall-0.2.0.tar.gz", hash = "sha256:5cbdbf27be5e7cfadb448baf0aa95508f91f2bbc6c6437cd9cd06e2a4c215e1e"},
]
beautifulsoup4 = [
{file = "beautifulsoup4-4.9.1-py2-none-any.whl", hash = "sha256:e718f2342e2e099b640a34ab782407b7b676f47ee272d6739e60b8ea23829f2c"},
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{file = "beautifulsoup4-4.9.1.tar.gz", hash = "sha256:73cc4d115b96f79c7d77c1c7f7a0a8d4c57860d1041df407dd1aae7f07a77fd7"},
]
+black = [
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+]
bleach = [
{file = "bleach-3.1.5-py2.py3-none-any.whl", hash = "sha256:2bce3d8fab545a6528c8fa5d9f9ae8ebc85a56da365c7f85180bfe96a35ef22f"},
{file = "bleach-3.1.5.tar.gz", hash = "sha256:3c4c520fdb9db59ef139915a5db79f8b51bc2a7257ea0389f30c846883430a4b"},
]
certifi = [
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- {file = "certifi-2020.4.5.1.tar.gz", hash = "sha256:51fcb31174be6e6664c5f69e3e1691a2d72a1a12e90f872cbdb1567eb47b6519"},
+ {file = "certifi-2020.6.20-py2.py3-none-any.whl", hash = "sha256:8fc0819f1f30ba15bdb34cceffb9ef04d99f420f68eb75d901e9560b8749fc41"},
+ {file = "certifi-2020.6.20.tar.gz", hash = "sha256:5930595817496dd21bb8dc35dad090f1c2cd0adfaf21204bf6732ca5d8ee34d3"},
]
chardet = [
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@@ -921,6 +1052,39 @@ colorama = [
{file = "colorama-0.4.3-py2.py3-none-any.whl", hash = "sha256:7d73d2a99753107a36ac6b455ee49046802e59d9d076ef8e47b61499fa29afff"},
{file = "colorama-0.4.3.tar.gz", hash = "sha256:e96da0d330793e2cb9485e9ddfd918d456036c7149416295932478192f4436a1"},
]
+coverage = [
+ {file = "coverage-5.1-cp27-cp27m-macosx_10_12_x86_64.whl", hash = "sha256:0cb4be7e784dcdc050fc58ef05b71aa8e89b7e6636b99967fadbdba694cf2b65"},
+ {file = "coverage-5.1-cp27-cp27m-macosx_10_13_intel.whl", hash = "sha256:c317eaf5ff46a34305b202e73404f55f7389ef834b8dbf4da09b9b9b37f76dd2"},
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@@ -1246,9 +1445,32 @@ qtpy = [
{file = "QtPy-1.9.0-py2.py3-none-any.whl", hash = "sha256:fa0b8363b363e89b2a6f49eddc162a04c0699ae95e109a6be3bb145a913190ea"},
{file = "QtPy-1.9.0.tar.gz", hash = "sha256:2db72c44b55d0fe1407be8fba35c838ad0d6d3bb81f23007886dc1fc0f459c8d"},
]
+regex = [
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+ {file = "regex-2020.6.8-cp37-cp37m-win_amd64.whl", hash = "sha256:1700419d8a18c26ff396b3b06ace315b5f2a6e780dad387e4c48717a12a22c29"},
+ {file = "regex-2020.6.8-cp38-cp38-manylinux1_i686.whl", hash = "sha256:654cb773b2792e50151f0e22be0f2b6e1c3a04c5328ff1d9d59c0398d37ef610"},
+ {file = "regex-2020.6.8-cp38-cp38-manylinux1_x86_64.whl", hash = "sha256:52e1b4bef02f4040b2fd547357a170fc1146e60ab310cdbdd098db86e929b387"},
+ {file = "regex-2020.6.8-cp38-cp38-manylinux2010_i686.whl", hash = "sha256:cf59bbf282b627130f5ba68b7fa3abdb96372b24b66bdf72a4920e8153fc7910"},
+ {file = "regex-2020.6.8-cp38-cp38-manylinux2010_x86_64.whl", hash = "sha256:5aaa5928b039ae440d775acea11d01e42ff26e1561c0ffcd3d805750973c6baf"},
+ {file = "regex-2020.6.8-cp38-cp38-win32.whl", hash = "sha256:97712e0d0af05febd8ab63d2ef0ab2d0cd9deddf4476f7aa153f76feef4b2754"},
+ {file = "regex-2020.6.8-cp38-cp38-win_amd64.whl", hash = "sha256:6ad8663c17db4c5ef438141f99e291c4d4edfeaacc0ce28b5bba2b0bf273d9b5"},
+ {file = "regex-2020.6.8.tar.gz", hash = "sha256:e9b64e609d37438f7d6e68c2546d2cb8062f3adb27e6336bc129b51be20773ac"},
+]
requests = [
- {file = "requests-2.23.0-py2.py3-none-any.whl", hash = "sha256:43999036bfa82904b6af1d99e4882b560e5e2c68e5c4b0aa03b655f3d7d73fee"},
- {file = "requests-2.23.0.tar.gz", hash = "sha256:b3f43d496c6daba4493e7c431722aeb7dbc6288f52a6e04e7b6023b0247817e6"},
+ {file = "requests-2.24.0-py2.py3-none-any.whl", hash = "sha256:fe75cc94a9443b9246fc7049224f75604b113c36acb93f87b80ed42c44cbb898"},
+ {file = "requests-2.24.0.tar.gz", hash = "sha256:b3559a131db72c33ee969480840fff4bb6dd111de7dd27c8ee1f820f4f00231b"},
]
send2trash = [
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@@ -1270,6 +1492,10 @@ testpath = [
{file = "testpath-0.4.4-py2.py3-none-any.whl", hash = "sha256:bfcf9411ef4bf3db7579063e0546938b1edda3d69f4e1fb8756991f5951f85d4"},
{file = "testpath-0.4.4.tar.gz", hash = "sha256:60e0a3261c149755f4399a1fff7d37523179a70fdc3abdf78de9fc2604aeec7e"},
]
+toml = [
+ {file = "toml-0.10.1-py2.py3-none-any.whl", hash = "sha256:bda89d5935c2eac546d648028b9901107a595863cb36bae0c73ac804a9b4ce88"},
+ {file = "toml-0.10.1.tar.gz", hash = "sha256:926b612be1e5ce0634a2ca03470f95169cf16f939018233a670519cb4ac58b0f"},
+]
tornado = [
{file = "tornado-6.0.4-cp35-cp35m-win32.whl", hash = "sha256:5217e601700f24e966ddab689f90b7ea4bd91ff3357c3600fa1045e26d68e55d"},
{file = "tornado-6.0.4-cp35-cp35m-win_amd64.whl", hash = "sha256:c98232a3ac391f5faea6821b53db8db461157baa788f5d6222a193e9456e1740"},
@@ -1285,13 +1511,41 @@ traitlets = [
{file = "traitlets-4.3.3-py2.py3-none-any.whl", hash = "sha256:70b4c6a1d9019d7b4f6846832288f86998aa3b9207c6821f3578a6a6a467fe44"},
{file = "traitlets-4.3.3.tar.gz", hash = "sha256:d023ee369ddd2763310e4c3eae1ff649689440d4ae59d7485eb4cfbbe3e359f7"},
]
+typed-ast = [
+ {file = "typed_ast-1.4.1-cp35-cp35m-manylinux1_i686.whl", hash = "sha256:73d785a950fc82dd2a25897d525d003f6378d1cb23ab305578394694202a58c3"},
+ {file = "typed_ast-1.4.1-cp35-cp35m-manylinux1_x86_64.whl", hash = "sha256:aaee9905aee35ba5905cfb3c62f3e83b3bec7b39413f0a7f19be4e547ea01ebb"},
+ {file = "typed_ast-1.4.1-cp35-cp35m-win32.whl", hash = "sha256:0c2c07682d61a629b68433afb159376e24e5b2fd4641d35424e462169c0a7919"},
+ {file = "typed_ast-1.4.1-cp35-cp35m-win_amd64.whl", hash = "sha256:4083861b0aa07990b619bd7ddc365eb7fa4b817e99cf5f8d9cf21a42780f6e01"},
+ {file = "typed_ast-1.4.1-cp36-cp36m-macosx_10_9_x86_64.whl", hash = "sha256:269151951236b0f9a6f04015a9004084a5ab0d5f19b57de779f908621e7d8b75"},
+ {file = "typed_ast-1.4.1-cp36-cp36m-manylinux1_i686.whl", hash = "sha256:24995c843eb0ad11a4527b026b4dde3da70e1f2d8806c99b7b4a7cf491612652"},
+ {file = "typed_ast-1.4.1-cp36-cp36m-manylinux1_x86_64.whl", hash = "sha256:fe460b922ec15dd205595c9b5b99e2f056fd98ae8f9f56b888e7a17dc2b757e7"},
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+typing-extensions = [
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+ {file = "typing_extensions-3.7.4.2.tar.gz", hash = "sha256:79ee589a3caca649a9bfd2a8de4709837400dfa00b6cc81962a1e6a1815969ae"},
+]
urllib3 = [
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]
wcwidth = [
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- {file = "wcwidth-0.2.3.tar.gz", hash = "sha256:edbc2b718b4db6cdf393eefe3a420183947d6aa312505ce6754516f458ff8830"},
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+ {file = "wcwidth-0.2.4.tar.gz", hash = "sha256:8c6b5b6ee1360b842645f336d9e5d68c55817c26d3050f46b235ef2bc650e48f"},
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webencodings = [
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diff --git a/pyproject.toml b/pyproject.toml
@@ -17,11 +17,16 @@ click = "^7.1"
[tool.poetry.dev-dependencies]
pytest = "^"
+mypy = "^0.780"
+coverage = {extras = ["toml"], version = "^5.1"}
+pytest-cov = "^2.9.0"
+black = "^19.10b0"
+
+[tool.poetry.scripts]
+dragon-curve = "src.dabbling.console:main_dragon"
+hilbert-curve = "src.dabbling.console:main_hilbert"
[build-system]
requires = ["poetry>=0.12"]
build-backend = "poetry.masonry.api"
-[tool.poetry.scripts]
-dragon-curve = "dabbling.console:main_dragon"
-hilbert-curve = "dabbling.console:main_hilbert"
diff --git a/dabbling/__init__.py b/src/dabbling/__init__.py
diff --git a/dabbling/console.py b/src/dabbling/console.py
diff --git a/dabbling/dragon_curve.py b/src/dabbling/dragon_curve.py
diff --git a/src/dabbling/hilbert_curve/hilbert_curve.py b/src/dabbling/hilbert_curve/hilbert_curve.py
@@ -0,0 +1,129 @@
+def mirror_on_y(path):
+ max_x = max(p[0] for p in path)
+ return [(abs(p[0] - max_x), p[1]) for p in path]
+
+
+def mirror_on_x(path):
+ max_y = max(p[1] for p in path)
+ return [(p[0], abs(p[1] - max_y)) for p in path]
+
+
+def mirror_on_xy(path):
+ return [(p[1], p[0]) for p in path]
+
+
+def right_flip(path):
+ path = mirror_on_y(path)
+ path = mirror_on_xy(path)
+ path = mirror_on_y(path)
+
+ return path
+
+
+def left_flip(path):
+ return mirror_on_xy(path)
+
+
+def hilbert_curve(iterations):
+ curve_coordinates = [
+ (0, 0),
+ (0, 1),
+ (1, 1),
+ (1, 0),
+ ]
+
+ for i in range(iterations):
+ curve_coordinates = (
+ left_flip(curve_coordinates) +
+ [(p[0], p[1] + 2 ** (i + 1)) for p in curve_coordinates] +
+ [(p[0] + 2 ** (i + 1), p[1] + 2 ** (i + 1)) for p in curve_coordinates] +
+ [(p[0] + 2 ** (i + 1), p[1]) for p in right_flip(curve_coordinates)]
+ )
+
+ return curve_coordinates
+
+
+def hilbert_curve_complex(iterations):
+ path = [
+ 0 + 0j,
+ 0 + 1j,
+ 1 + 1j,
+ 1 + 0j,
+ ]
+
+ def lower_left(path, iteration):
+ path = [p * (-1j) for p in path]
+ path = [p.conjugate() for p in path]
+ return path
+
+ def upper_left(path, iteration):
+ path = [p + 1j * 2**iteration for p in path]
+ return path
+
+ def upper_right(path, iteration):
+ path = [p + (1 + 1j) * 2**iteration for p in path]
+ return path
+
+ def lower_right(path, iteration):
+ path = [p - 1j for p in path]
+ path = [p.conjugate() for p in path]
+ path = [p * (-1j) for p in path]
+ path = [p + 1j for p in path]
+ path = [p + 2**iteration for p in path]
+ return path
+
+ normalizer = 1
+ for i in range(iterations):
+ path = (
+ lower_left(path, i + 1) +
+ upper_left(path, i + 1) +
+ upper_right(path, i + 1) +
+ lower_right(path, i + 1)
+ )
+
+ print(path)
+
+ normalizer *= 2**(i + 1) - 1
+
+ path = [p / normalizer for p in path]
+
+ return path
+
+
+def make_svg_content(
+ path,
+ image_width = 500,
+ image_height = 500,
+ ):
+ min_x = min(p[0] for p in path)
+ min_y = min(p[1] for p in path)
+ max_x = max(p[0] for p in path)
+ max_y = max(p[1] for p in path)
+ margins = ' '.join(
+ map(
+ str,
+ (
+ min_x - 0.05 * (max_x - min_x),
+ min_y - 0.05 * (max_y - min_y),
+ max_x + 1.05 * (max_x - min_x),
+ max_y + 1.05 * (max_y - min_y),
+ )))
+ path = mirror_on_x(path)
+ stroke_width = min(0.001 * (max_x - min_x), 0.1)
+ svg_path = f'M{path[0][0]} {path[0][1]}' + ''.join(f'L{p[0]} {p[1]}' for p in path[1:])
+ return f'''
+<svg width="{image_width}" height="{image_height}" viewBox="{margins}" fill="white" xmlns="http://www.w3.org/2000/svg">
+ <path stroke="black" stroke-width="{stroke_width}" d="{svg_path}"/>
+</svg>'''
+
+
+if __name__ == '__main__':
+ import sys
+ path = hilbert_curve(int(sys.argv[1]))
+ svg_content = make_svg_content(path)
+ with open('hilbert-curve.svg', 'w') as f:
+ f.write(svg_content)
+ path = hilbert_curve_complex(int(sys.argv[1]))
+ svg_content = make_svg_content([(p.real, p.imag) for p in path])
+ with open('hilbert-curve-complex.svg', 'w') as f:
+ f.write(svg_content)
