pax_global_header00006660000000000000000000000064127360436450014524gustar00rootroot0000000000000052 comment=793a1d1438ef1580ebe87593348454fd1f7cfa93 ExportSageNB-2.0/000077500000000000000000000000001273604364500136665ustar00rootroot00000000000000ExportSageNB-2.0/.gitignore000066400000000000000000000001131273604364500156510ustar00rootroot00000000000000*~ *.pyc .\#* \#*\# /.tox MANIFEST /build/ /dist/ /sagenb_export.egg-info/ExportSageNB-2.0/.travis.yml000066400000000000000000000001361273604364500157770ustar00rootroot00000000000000language: python env: - TOXENV=py27 - TOXENV=py34 install: - pip install tox script: - tox ExportSageNB-2.0/LICENSE000066400000000000000000001044611273604364500147010ustar00rootroot00000000000000GNU GENERAL PUBLIC LICENSE Version 3, 29 June 2007 Copyright (C) 2007 Free Software Foundation, Inc. Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. 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ExportSageNB-2.0/MANIFEST.in000066400000000000000000000003561273604364500154300ustar00rootroot00000000000000include README* LICENSE* recursive-include sagenb_export *.py recursive-include sagenb_export/nbextension *.html recursive-include sagenb_export/nbextension/www * recursive-exclude sagenb_export /#*.py .\#*.py *~ recursive-exclude test * ExportSageNB-2.0/Makefile000066400000000000000000000002301273604364500153210ustar00rootroot00000000000000 tox: tox watch-%: while true ; do \ $(MAKE) $* ; \ inotifywait -e close_write -r . --exclude '.*~' --exclude '#.*' ; \ done .PHONY: tox ExportSageNB-2.0/README.md000066400000000000000000000032371273604364500151520ustar00rootroot00000000000000Convert SageNB Notebooks ======================== This is a tool to convert SageNB notebooks to other formats, in particular IPython/Jupyter notebooks. Install ------- pip install git+https://github.com/vbraun/ExportSageNB.git or sage -pip install git+https://github.com/vbraun/ExportSageNB.git Usage ----- First, you want to list the existing notebooks. Each notebook has a unique id and a not necessarily unique name: $ sagenb-export --list Unique ID | Notebook Name ------------------------------------------------------------------------------- admin:10 | Oxford Seminar (1,1)-Calabi Yau You can specify notebooks by the ID or by name; If the name is not unique, the first notebook found in the filesystem wins. To convert it to a Jupyter/IPython notebook, use the `--ipynb` switch as in $ sagenb-export --ipynb=Output.ipynb admin:10 You can then open the saved `Output.ipynb` via $ sage --notebook=jupyter Output.ipynb Notes ----- * Various output formats are not supported, e.g. no pictures. The simplest solution is to re-evaluate. * SageNB html input cells are converted to Jupyter raw NBConvert cells; In the interactive Jupyter notebook these are not rendered as html but shown as their html source code. If you export to HTML (File -> Download as -> HTML) they are rendered as html, though. Testing and Python Compatibility -------------------------------- * The git-trac command supports Python 2.7, and 3.4+. * Most recent [Travis CI](https://travis-ci.org/vbraun/ExportSageNB) test: [![Build Status](https://travis-ci.org/vbraun/ExportSageNB.svg?branch=master)](https://travis-ci.org/vbraun/ExportSageNB) ExportSageNB-2.0/sagenb_export/000077500000000000000000000000001273604364500165265ustar00rootroot00000000000000ExportSageNB-2.0/sagenb_export/__init__.py000066400000000000000000000000001273604364500206250ustar00rootroot00000000000000ExportSageNB-2.0/sagenb_export/actions.py000066400000000000000000000014341273604364500205420ustar00rootroot00000000000000 import sys from sagenb_export.logger import log from sagenb_export.sagenb_reader import NotebookSageNB def action_list(dot_sage): def tr(unique_id, name): print(u'{0:<15} | {1}'.format(unique_id, name)) tr('Unique ID', 'Notebook Name') print('-' * 79) notebooks = dict( (notebook.sort_key, notebook) for notebook in NotebookSageNB.all_iter(dot_sage) ) for key in sorted(notebooks.keys()): notebook = notebooks[key] tr(notebook.unique_id, notebook.name) def action_print(sagenb): from sagenb_export.text_writer import TextWriter TextWriter(sagenb).write(sys.stdout) def action_convert_ipynb(sagenb, ipynb_filename): from sagenb_export.ipynb_writer import IpynbWriter IpynbWriter(sagenb).write(ipynb_filename) ExportSageNB-2.0/sagenb_export/cmdline.py000066400000000000000000000037161273604364500205220ustar00rootroot00000000000000## -*- encoding: utf-8 -*- """ Handle Command Line Options """ import os import sys import argparse from sagenb_export.defaults import DOT_SAGE from sagenb_export.logger import log from sagenb_export.sagenb_reader import NotebookSageNB from sagenb_export.actions import action_list, action_print, action_convert_ipynb description = \ """ Export SageNB notebooks """ def make_parser(): parser = argparse.ArgumentParser(description=description) parser.add_argument('--log', dest='log', default=None, help='one of [DEBUG, INFO, ERROR, WARNING, CRITICAL]') parser.add_argument('--dot-sage', dest='dot_sage', default=DOT_SAGE, help='location of the .sage directory') parser.add_argument('--list', dest='list', action='store_true', help='list all SageNB notebooks') parser.add_argument('--ipynb', dest='ipynb', default=None, help='output .ipynb notebook filename') parser.add_argument('--print', dest='print_text', action='store_true', help='print notebook') parser.add_argument('sagenb', default=None, nargs='?', help='SageNB notebook name or unique id') return parser def main(): parser = make_parser() args = parser.parse_args() if args.log is not None: import logging level = getattr(logging, args.log) log.setLevel(level=level) dot_sage = os.path.expanduser(args.dot_sage) if args.list: action_list(dot_sage) if not args.sagenb: sys.exit(0) sagenb = NotebookSageNB.find(dot_sage, args.sagenb) if args.print_text: action_print(sagenb) if args.ipynb: ipynb_name = args.ipynb.format(nb=sagenb) if os.path.exists(ipynb_name): raise RuntimeError('file exists: {0}'.format(ipynb_name)) action_convert_ipynb(sagenb, ipynb_name) if __name__ == '__main__': main() ExportSageNB-2.0/sagenb_export/defaults.py000066400000000000000000000001111273604364500207000ustar00rootroot00000000000000## -*- encoding: utf-8 -*- """ Default Values """ DOT_SAGE = '~/.sage' ExportSageNB-2.0/sagenb_export/ipynb_writer.py000066400000000000000000000030451273604364500216170ustar00rootroot00000000000000 from nbformat import write from nbformat.v4 import ( new_code_cell, new_markdown_cell, new_notebook, new_output ) from nbformat.v4.nbbase import new_raw_cell from sagenb_export.logger import log from sagenb_export.sagenb_reader import TextCell, ComputeCell class IpynbWriter(object): def __init__(self, sagenb): self.nb = sagenb @property def cells(self): for cell in self.nb.cells: if isinstance(cell, TextCell): yield new_markdown_cell( source=cell.input, ) elif isinstance(cell, ComputeCell): yield new_code_cell( source=cell.input, execution_count=cell.index, outputs=[ new_output( output_type=u'execute_result', data={ 'text/plain': cell.output, }, execution_count=cell.index, ) ] ) else: log.critical('unknown cell: {0}'.format(cell)) def write(self, filename): ipynb = new_notebook( cells=list(self.cells), metadata=dict( kernelspec=dict( display_name="SageMath", name="sagemath", ), language='python', ) ) write(ipynb, filename) ExportSageNB-2.0/sagenb_export/logger.py000066400000000000000000000001201273604364500203500ustar00rootroot00000000000000 import logging logging.basicConfig() log = logging.getLogger('sagenb-export') ExportSageNB-2.0/sagenb_export/nbextension/000077500000000000000000000000001273604364500210625ustar00rootroot00000000000000ExportSageNB-2.0/sagenb_export/nbextension/__init__.py000066400000000000000000000015621273604364500231770ustar00rootroot00000000000000 from tornado.web import StaticFileHandler from notebook.utils import url_path_join from sagenb_export.nbextension.list_handler import ListSageNBHandler from sagenb_export.nbextension.export_handler import ExportSageNBHandler from sagenb_export.nbextension.asset_handler import AssetHandler def load_jupyter_server_extension(nb_server_app): """ Called when the extension is loaded. Args: nb_server_app (NotebookWebApplication): handle to the Notebook webserver instance. """ web_app = nb_server_app.web_app host_pattern = '.*$' def url(path): return url_path_join(web_app.settings['base_url'], path) web_app.add_handlers( host_pattern, [ (url(r'/sagenb'), ListSageNBHandler), (url(r'/sagenb/export'), ExportSageNBHandler), (url(r'/sagenb/www/(.*)'), AssetHandler), ] ) ExportSageNB-2.0/sagenb_export/nbextension/asset_handler.py000066400000000000000000000005201273604364500242450ustar00rootroot00000000000000 import os from tornado.web import StaticFileHandler from notebook.base.handlers import FileFindHandler class AssetHandler(FileFindHandler): def initialize(self, **kwds): kwds['path'] = [ os.path.join(os.path.dirname(__file__), 'www'), ] super(AssetHandler, self).initialize(**kwds) ExportSageNB-2.0/sagenb_export/nbextension/export_handler.py000066400000000000000000000031331273604364500244520ustar00rootroot00000000000000import os import string from notebook.base.handlers import IPythonHandler from sagenb_export.defaults import DOT_SAGE from sagenb_export.logger import log from sagenb_export.sagenb_reader import NotebookSageNB from sagenb_export.ipynb_writer import IpynbWriter def filename_escape(name): def escape(ch): if ch in string.ascii_letters + string.digits: return ch else: return '_' return ''.join(map(escape, name)) class ExportSageNBHandler(IPythonHandler): """ Return a web page that lists the current SageNB worksheets """ @property def dot_sage(self): return os.path.expanduser(DOT_SAGE) def post(self): print('POST', self.request, self.request.body) ipynb_filename = self.safe_filename() IpynbWriter(self.notebook()).write(ipynb_filename) relative_url = '/notebooks/' + ipynb_filename self.finish(relative_url) @property def unique_id(self): return self.request.body def notebook(self): try: nb = self._notebook except AttributeError: nb = self._notebook = NotebookSageNB.find(self.dot_sage, self.unique_id) return nb def safe_filename(self): basename = filename_escape(self.notebook().name) filename = '{0}.ipynb'.format(basename) if not os.path.exists(filename): return filename i = 2 while True: filename = '{0} ({1}).ipynb'.format(basename, i) if not os.path.exists(filename): return filename ExportSageNB-2.0/sagenb_export/nbextension/jinja2_env.py000066400000000000000000000003751273604364500234660ustar00rootroot00000000000000# -*- coding: utf-8 -*- """ Jinja2 Environment for Embedded Pages """ import os from jinja2 import Environment, FileSystemLoader jinja2_env = Environment( loader=FileSystemLoader([ os.path.dirname(__file__) ]), autoescape=True, ) ExportSageNB-2.0/sagenb_export/nbextension/list_handler.html000066400000000000000000000034061273604364500244230ustar00rootroot00000000000000 SageMath

Sage Mathematics Software

Note: The Sage notebook changed.

Take me to the new Sage/Jupyter notebook

To skip this screen and go directly to the new notebook, run 

sage --notebook=jupyter

To launch the old notebook instead, run 

sage --notebook=sagenb

on the command line. Or click on one of your old notebooks below to convert your old notebook to a new Sage/Jupyter notebook.

ID
Name
{% for nb in notebooks %}
{{ nb.unique_id }}
{{ nb.name }}
{% endfor %}
ExportSageNB-2.0/sagenb_export/nbextension/list_handler.py000066400000000000000000000016011273604364500241020ustar00rootroot00000000000000import os from notebook.base.handlers import IPythonHandler from sagenb_export.defaults import DOT_SAGE from sagenb_export.logger import log from sagenb_export.sagenb_reader import NotebookSageNB from sagenb_export.nbextension.jinja2_env import jinja2_env class ListSageNBHandler(IPythonHandler): """ Return a web page that lists the current SageNB worksheets """ def notebook_iter(self): dot_sage = os.path.expanduser(DOT_SAGE) notebooks = dict( (notebook.sort_key, notebook) for notebook in NotebookSageNB.all_iter(dot_sage) ) for key in sorted(notebooks.keys()): yield notebooks[key] def get(self): template = jinja2_env.get_template('list_handler.html') html = template.render(dict( notebooks=tuple(self.notebook_iter()), )) self.finish(html) ExportSageNB-2.0/sagenb_export/nbextension/www/000077500000000000000000000000001273604364500217065ustar00rootroot00000000000000ExportSageNB-2.0/sagenb_export/nbextension/www/sagemath_icon.svg000066400000000000000000000507611273604364500252410ustar00rootroot00000000000000 image/svg+xml ExportSageNB-2.0/sagenb_export/nbextension/www/sagenb-export.css000066400000000000000000000032601273604364500251770ustar00rootroot00000000000000* { box-sizing: border-box; } html { font-family: 'Helvetica Neue', Helvetica, Arial, sans-serif; padding: 0; } body { margin: 0; padding: 0; } h1 { text-align: center; font-size: 48px; font-weight: normal; } p { margin: 0; padding: 0; } .header { display: flex; flex-direction: row; justify-content: space-around; align-items: center; height: 128px; } .header h1 { flex: 8 1 0; margin: auto; } .header img { flex: 2 0 0; margin: auto; height: 64px; } .warn { width: 60%; margin: auto; border: 2px solid #ff7f7f; background: #ffdddd; border-radius: 10px; padding: 1em 3em; } .warn a { padding-top: 1em; display: block; text-align: center; } .error { background-color: #7f0000; color: #ccffcc; padding: 0 2em; } .old { padding: 0 3em; margin-top: 2em; margin-bottom: 2em; } .old pre { font-size: 130%; text-align: center; } .ellipsis { width: 100%; display: inline-block; overflow: hidden; text-overflow: ellipsis; } .nb-row.nb-header { font-weight: bold; text-align: center; background-color: #7f7f7f !important; color: #ffffff; } .nb-row { display: flex; flex-direction: row; line-height: 48px; white-space: nowrap; } .nb-row:nth-child(even) { background: #FFF; } .nb-row:nth-child(odd) { background: #eee; } .nb-row.clickable:hover { background: #aaaaff; cursor: pointer; } .nb-id { padding: 0 1em 0 2em; display: flex; flex: 1 0 0; font-family: "Lucida Console", Monaco, monospace; } .nb-name { padding: 0 2em 0 1em; display: flex; flex: 8 1 0; } ExportSageNB-2.0/sagenb_export/nbextension/www/sagenb-export.js000066400000000000000000000010051273604364500250160ustar00rootroot00000000000000'use strict'; var exportSageNB = function(uniqueId) { console.log('Converting ' + uniqueId); var xhttp = new XMLHttpRequest(); xhttp.onreadystatechange = function() { if (xhttp.readyState == 4 && xhttp.status == 200) { document.location = 'http://' + document.location.host + xhttp.responseText; } else { document.querySelector('.error').innerText = xhttp.responseText; } }; xhttp.open('POST', '/sagenb/export', true); xhttp.send(uniqueId); }; ExportSageNB-2.0/sagenb_export/sagenb_reader.py000066400000000000000000000116021273604364500216610ustar00rootroot00000000000000 import os import re try: # Python 2 import cPickle as pickle except ImportError: # Python 3 import pickle from sagenb_export.logger import log from sagenb_export.unescape import unescape CELL_FRONT = re.compile(u'^\{\{\{id=(?P[0-9]*)\|$') CELL_MID = re.compile(u'^///$') CELL_BACK = re.compile(u'^\}\}\}$') class Cell(object): def __init__(self, input): self.input = input def __repr__(self): return '{0}:"{1}"'.format(type(self), self.input.encode('utf-8', 'replace')) class ComputeCell(Cell): def __init__(self, index, input, output): assert index >= 0 super(ComputeCell, self).__init__(input) self.index = index self.output = output class TextCell(Cell): pass class WorksheetParser(object): def __init__(self, worksheet_html): self.worksheet_lines = worksheet_html.splitlines() self.pos = 0 self.index = -1 log.debug('Worksheet has %s lines', len(self.worksheet_lines)) @property def line(self): return self.worksheet_lines[self.pos] def get_line_and_forward(self): line = self.line self.pos += 1 return line @property def is_finished(self): return self.pos >= len(self.worksheet_lines) @property def is_cell_front(self): match = CELL_FRONT.match(self.line) if match: self.index = int(match.group('index')) return True else: return False @property def is_cell_mid(self): match = CELL_MID.match(self.line) return match != None @property def is_cell_back(self): match = CELL_BACK.match(self.line) return match != None def _try_read_text(self): accumulator = [] while not (self.is_cell_front or self.is_finished): log.debug('Read text: %s', self.line) accumulator.append(self.get_line_and_forward()) accumulator = u'\n'.join(accumulator).strip() if accumulator: return TextCell(unescape(accumulator)) def _read_cell_input(self): assert self.is_cell_front self.pos += 1 accumulator = [] while not (self.is_cell_mid or self.is_finished): log.debug('Read cell input: %s', self.line) accumulator.append(self.get_line_and_forward()) return unescape(u'\n'.join(accumulator).strip()) def _read_cell_output(self): assert self.is_cell_mid self.pos += 1 accumulator = [] while not (self.is_cell_back or self.is_finished): log.debug('Read cell output: %s', self.line) accumulator.append(self.get_line_and_forward()) return unescape(u'\n'.join(accumulator).strip()) def _read_cell(self): input = self._read_cell_input() output = self._read_cell_output() return ComputeCell(self.index, input, output) def __iter__(self): while not self.is_finished: text = self._try_read_text() if text: yield text yield self._read_cell() if not self.is_finished: assert self.is_cell_back self.pos += 1 class NotebookSageNB(object): def __init__(self, path): log.debug('opening notebook root directory: %s', path) self.path = path with open(os.path.join(path, 'worksheet.html'), 'rb') as f: self.ws = f.read().decode('utf-8') with open(os.path.join(path, 'worksheet_conf.pickle'), 'rb') as f: self.conf = pickle.load(f) def __repr__(self): return '{0}:"{1}"'.format(self.unique_id, self.name.encode('utf-8', 'replace')) @classmethod def all_iter(cls, dot_sage): store = os.path.join(dot_sage, 'sage_notebook.sagenb', 'home', '__store__') for path, dirs, files in os.walk(store): worksheet = os.path.join(path, 'worksheet.html') if os.path.isfile(worksheet): yield cls(path) @classmethod def find(cls, dot_sage, name_or_unique_id): for notebook in cls.all_iter(dot_sage): if notebook.unique_id == name_or_unique_id: return notebook if notebook.name == name_or_unique_id: return notebook raise ValueError('no such notebook: {0}'.format(name_or_unique_id)) @property def sort_key(self): return (self.conf['owner'], self.conf['id_number']) def __lt__(lhs, rhs): return lhs.sort_key < rhs.sort_key @property def unique_id(self): return '{0}:{1}'.format(self.conf['owner'], self.conf['id_number']) @property def name(self): return self.conf['name'] @property def cells(self): for cell in WorksheetParser(self.ws): log.debug('Cell: %s', cell) yield cell ExportSageNB-2.0/sagenb_export/text_writer.py000066400000000000000000000016211273604364500214600ustar00rootroot00000000000000 from sagenb_export.logger import log from sagenb_export.sagenb_reader import TextCell, ComputeCell HEADER = u""" Name: {nb.name} """ TEXT_CELL = u""" Text: {cell.input} """ COMPUTE_CELL = u""" In[{cell.index}]: {cell.input} Out[{cell.index}]: {cell.output} """ class TextWriter(object): def __init__(self, sagenb): self.nb = sagenb @property def header(self): return HEADER.format(nb=self.nb) @property def cells(self): for cell in self.nb.cells: if isinstance(cell, TextCell): yield TEXT_CELL.format(cell=cell) elif isinstance(cell, ComputeCell): yield COMPUTE_CELL.format(cell=cell) else: log.critical('unknown cell: {0}'.format(cell)) def write(self, stream): stream.write(self.header) for cell in self.cells: stream.write(cell) ExportSageNB-2.0/sagenb_export/unescape.py000066400000000000000000000002341273604364500207020ustar00rootroot00000000000000 try: # python 3 from html import unescape except ImportError: # python 2 import HTMLParser unescape = HTMLParser.HTMLParser().unescape ExportSageNB-2.0/setup.py000077500000000000000000000010651273604364500154050ustar00rootroot00000000000000#!/usr/bin/env python from setuptools import setup, find_packages setup( name='sagenb_export', description='Export Notebooks from SageNB', author='Volker Braun', author_email='vbraun.name@gmail.com', install_requires=[ 'six', 'ipython>=4', 'nbconvert>=4', ], packages=find_packages(), include_package_data=True, entry_points={ 'console_scripts': [ 'sagenb-export = sagenb_export.cmdline:main', ], }, version='2.0', url='https://github.com/vbraun/ExportSageNB', ) ExportSageNB-2.0/test/000077500000000000000000000000001273604364500146455ustar00rootroot00000000000000ExportSageNB-2.0/test/__init__.py000066400000000000000000000000001273604364500167440ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/000077500000000000000000000000001273604364500164325ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/000077500000000000000000000000001273604364500225075ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/000077500000000000000000000000001273604364500234375ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/000077500000000000000000000000001273604364500253675ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/000077500000000000000000000000001273604364500255305ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/000077500000000000000000000000001273604364500257525ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/000077500000000000000000000000001273604364500262565ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/000077500000000000000000000000001273604364500266455ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/000077500000000000000000000000001273604364500277355ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/10/000077500000000000000000000000001273604364500301555ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/10/cells/000077500000000000000000000000001273604364500312575ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/10/cells/1/000077500000000000000000000000001273604364500314175ustar00rootroot00000000000000sage0-size500-249051951.jmol.zip000077500000000000000000000045061273604364500362310ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/10/cells/1PKRN>g9L 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The 24-Cell

{{{id=4| cell24 = polytopes.twenty_four_cell() cell24.f_vector() # it is self-dual /// (1, 24, 96, 96, 24, 1) }}} {{{id=86| cell24.f_vector? ///

File: /home/vbraun/Sage/sage/local/lib/python2.6/site-packages/sage/geometry/polyhedra.py

Type: <type ‘instancemethod’>

Definition: cell24.f_vector()

Docstring:

Return the f-vector.

OUTPUT:

Returns a vector whose i-th entry is the number of i-dimensional faces of the polytope.

EXAMPLES:

sage: p = Polyhedron(vertices = [[1, 2, 3], [1, 3, 2], [2, 1, 3], [2, 3, 1], [3, 1, 2], [3, 2, 1], [0, 0, 0]])
sage: p.f_vector()
(1, 7, 12, 7, 1)
}}}

Here is a picture of the 24-cell projected into 3 dimensions:

{{{id=1| cell24.plot() /// }}}

The "round" 24-cell can be $GL(4,\mathbb{Q})$-squished into a lattice polytope:

{{{id=13| cell24 = Polyhedron(vertices=[ (1,0,0,0),(0,1,0,0),(0,0,1,0),(0,0,0,1),(1,-1,-1,1),(0,0,-1,1), (0,-1,0,1),(-1,0,0,1),(1,0,0,-1),(0,1,0,-1),(0,0,1,-1),(-1,1,1,-1), (1,-1,-1,0),(0,0,-1,0),(0,-1,0,0),(-1,0,0,0),(1,-1,0,0),(1,0,-1,0), (0,1,1,-1),(-1,1,1,0),(-1,1,0,0),(-1,0,1,0),(0,-1,-1,1),(0,0,0,-1)]) cell24.f_vector() /// (1, 24, 96, 96, 24, 1) }}} {{{id=67| cell24.lattice_polytope().is_reflexive() /// True }}}

Symmetry groups

Here is the symmetry group of the 24-cell

{{{id=27| Aut = cell24.restricted_automorphism_group() Aut.cardinality() /// 1152 }}} {{{id=34| Aut.gens() /// [(3,9)(4,18)(7,13)(8,14)(10,20)(22,24), (2,3)(6,7)(10,11)(14,15)(17,18)(21,22), (2,4)(3,19)(5,18)(7,10)(8,21)(9,17)(12,22)(14,23)(15,24), (2,18)(3,17)(4,5)(8,23)(9,19)(12,24)(13,20)(14,21)(15,22), (2,19)(3,4)(5,17)(6,11)(8,22)(9,18)(12,21)(14,24)(15,23), (1,2,19,10,12,24,16,15,23,7,5,4)(3,18,20,9,21,11,14,22,13,8,17,6), (1,16)(2,21)(3,22)(4,8)(5,23)(9,24)(12,19)(14,18)(15,17)] }}}

Pick the following $G$-permutation action on the vertices of $\nabla$

{{{id=36| G = PermutationGroup([ '(1,14,22)(2,24,7)(3,18,16)(4,10,15)(5,21,11)(6,12,17)(8,19,13)(9,23,20)', '(1,10,16,7)(2,12,15,5)(3,9,14,8)(4,19,24,23)(6,20,11,13)(17,18,21,22)']) G.is_subgroup(Aut) and G.is_isomorphic( SL(2,3).as_matrix_group().as_permutation_group() ) /// True }}} {{{id=85| G.orbits() /// [[1, 10, 14, 16, 15, 8, 22, 7, 3, 5, 4, 19, 17, 2, 9, 18, 21, 24, 13, 6, 12, 23, 11, 20]] }}}

Representatives for the 7 conjugacy classes:

{{{id=44| G.conjugacy_classes_representatives() /// [(), (1,2,21,16,15,17)(3,19,10,14,23,7)(4,20,12,24,13,5)(6,8,22,11,9,18), (1,4,8,16,24,9)(2,6,23,15,11,19)(3,20,21,14,13,17)(5,7,22,12,10,18), (1,6,16,11)(2,14,15,3)(4,21,24,17)(5,8,12,9)(7,20,10,13)(18,23,22,19), (1,8,24)(2,23,11)(3,21,13)(4,16,9)(5,22,10)(6,15,19)(7,12,18)(14,17,20), (1,16)(2,15)(3,14)(4,24)(5,12)(6,11)(7,10)(8,9)(13,20)(17,21)(18,22)(19,23), (1,21,15)(2,16,17)(3,10,23)(4,12,13)(5,20,24)(6,22,9)(7,19,14)(8,11,18)] }}}

Here is the orbit of $1$ under the permutation $g_3$:

{{{id=52| (G.1).orbit(1) /// [1, 14, 22] }}}

The 24-cell toric variety

{{{id=45| fan = FaceFan(cell24.lattice_polytope()) Pnabla = ToricVariety(FaceFan(cell24.lattice_polytope()), coordinate_names='z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, '+ 'z13, z14, z15, z16, z17, z18, z19, z20, z21, z22, z23, z24', base_field=GF(101)) Pnabla /// 4-d toric variety covered by 24 affine patches }}} {{{id=56| Pnabla.Chow_group().degree() /// (Z, Z, C2 x C2 x Z^30, Z^20, Z) }}} {{{id=54| SR = Pnabla.Stanley_Reisner_ideal(); SR /// Ideal (z2*z11, z4*z11, z5*z11, z6*z11, z8*z11, z11*z14, z11*z18, z11*z21, z11*z23, z1*z12, z4*z12, z5*z12, z6*z12, z7*z12, z12*z13, z12*z17, z12*z18, z12*z23, z1*z15, z2*z15, z4*z15, z6*z15, z10*z15, z15*z18, z15*z19, z15*z20, z15*z21, z1*z16, z2*z16, z3*z16, z4*z16, z5*z16, z9*z16, z16*z17, z16*z18, z16*z19, z1*z22, z2*z22, z5*z22, z6*z22, z9*z22, z10*z22, z13*z22, z14*z22, z18*z22, z1*z24, z2*z24, z3*z24, z4*z24, z5*z24, z6*z24, z7*z24, z8*z24, z20*z24, z3*z10, z4*z10, z5*z10, z7*z10, z8*z10, z10*z17, z10*z23, z1*z14, z3*z14, z4*z14, z7*z14, z14*z17, z14*z19, z14*z20, z1*z21, z3*z21, z5*z21, z7*z21, z9*z21, z13*z21, z17*z21, z4*z9, z6*z9, z7*z9, z8*z9, z9*z20, z9*z23, z5*z19, z6*z19, z7*z19, z8*z19, z13*z19, z19*z23, z2*z13, z3*z13, z4*z13, z8*z13, z13*z20, z1*z23, z2*z23, z3*z23, z20*z23, z2*z17, z6*z17, z8*z17, z17*z20, z3*z18, z7*z18, z8*z18, z18*z20, z3*z6, z2*z7, z1*z8, z5*z20, z7*z11*z16, z10*z11*z16, z11*z13*z16, z11*z16*z20, z3*z12*z15, z8*z12*z15, z9*z12*z15, z12*z14*z15, z17*z22*z24, z19*z22*z24, z21*z22*z24, z22*z23*z24, z6*z10*z16, z10*z13*z16, z10*z16*z20, z2*z12*z14, z8*z12*z14, z9*z12*z14, z18*z21*z24, z19*z21*z24, z21*z23*z24, z2*z9*z12, z3*z9*z12, z1*z10*z11, z10*z11*z13, z10*z11*z20, z17*z19*z24, z18*z19*z24, z6*z13*z16, z7*z13*z16, z5*z14*z15, z8*z14*z15, z9*z14*z15, z17*z23*z24, z18*z23*z24, z3*z9*z15, z5*z9*z15, z1*z11*z13, z7*z11*z13, z17*z18*z24, z2*z9*z14, z5*z9*z14, z1*z10*z13, z6*z10*z13, z2*z3*z8, z3*z5*z8, z3*z8*z12, z3*z8*z15, z4*z17*z22, z4*z19*z22, z4*z21*z22, z4*z22*z23, z1*z7*z20, z6*z7*z20, z7*z11*z20, z7*z16*z20, z2*z5*z8, z2*z8*z12, z2*z8*z14, z4*z18*z21, z4*z19*z21, z4*z21*z23, z1*z6*z20, z6*z10*z20, z6*z16*z20, z1*z10*z20, z1*z11*z20, z2*z3*z5, z2*z3*z9, z2*z3*z12, z4*z17*z19, z4*z18*z19, z4*z17*z23, z4*z18*z23, z5*z8*z14, z5*z8*z15, z1*z6*z7, z6*z7*z13, z6*z7*z16, z1*z7*z11, z1*z7*z13, z3*z5*z9, z3*z5*z15, z4*z17*z18, z1*z6*z10, z1*z6*z13, z2*z5*z9, z2*z5*z14, z19*z21*z22, z21*z22*z23, z17*z19*z22, z18*z19*z21, z17*z22*z23, z17*z18*z23, z18*z21*z23, z17*z18*z19) of Multivariate Polynomial Ring in z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15, z16, z17, z18, z19, z20, z21, z22, z23, z24 over Rational Field }}} {{{id=55| Pnabla.inject_variables() z1*z16 in SR and z1*z14*z22 in SR /// Defining z1, z2, z3, z4, z5, z6, z7, z8, z9, z10, z11, z12, z13, z14, z15, z16, z17, z18, z19, z20, z21, z22, z23, z24 True }}}

The Calabi-Yau Hypersurface

The polynomial $P=P_0+P_\infty$ is

{{{id=57| anticanonical_bundle = -Pnabla.K() P = sum(anticanonical_bundle.sections_monomials()) P([1]*24) # g_3 and g_4^2-fixed point z_i=1 /// 25 }}}

One of the maximal cones is $\langle p_1,p_2,p_3,p_4,p_{19},p_{20}\rangle$:

{{{id=69| cone = fan.generating_cone(8) cone.ambient_ray_indices() /// (0, 1, 2, 3, 18, 19) }}}

The singularity of $\mathbb{P}_\nabla$ is where the corresponding homogeneous variables vanish:

{{{id=63| P(0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1) /// 1 }}}

Checking Transversality of the Equation

The patches are non-complete intersections: 9 equations in $\mathbb{C}^8$ cutting out a $4$-dimensional affine toric variety

{{{id=71| ambient_patch = Pnabla.affine_algebraic_patch(cone, names='x+') ambient_patch /// Closed subscheme of Affine Space of dimension 8 over Finite Field of size 101 defined by: -x1*x4 + x0*x7, -x1*x5 + x0*x6, -x4*x6 + x5*x7, x0*x4 - x3*x5, -x2*x4 + x3*x7, -x1*x4 + x3*x6, x0*x2 - x1*x3, x2*x6 - x1*x7, -x1*x4 + x2*x5 }}}

Of course there is a singularity at $0\in \mathbb{C}^8$:

{{{id=76| ambient_patch.is_smooth() /// False }}}

Now we throw in the equation $P=0$ and go to the same patch again:

{{{id=70| Xtilde = Pnabla.subscheme(P) patch = Xtilde.affine_algebraic_patch(cone, names='x+') patch /// Closed subscheme of Affine Space of dimension 8 over Finite Field of size 101 defined by: -x1*x4 + x0*x7, -x1*x5 + x0*x6, -x4*x6 + x5*x7, x0*x4 - x3*x5, -x2*x4 + x3*x7, -x1*x4 + x3*x6, x0*x2 - x1*x3, x2*x6 - x1*x7, -x1*x4 + x2*x5, x2^2*x5^2 + x0*x2*x5 + x2^2*x5 + x2*x3*x5 + x2*x4*x5 + x2*x5^2 + x0*x2*x6 + x2*x5*x6 + x2*x5*x7 + x0*x2 + x0*x4 + x2*x4 + x1*x5 + x2*x5 + x2*x6 + x5*x7 + x0 + x1 + x2 + x3 + x4 + x5 + x6 + x7 + 1 }}} {{{id=73| patch.is_smooth() /// True }}} {{{id=81| /// }}}worksheet_conf.pickle000066400000000000000000000007021273604364500343060ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/10(dp1 S'tags' p2 (dp3 S'admin' p4 (lp5 I0 asS'guest' p6 (lp7 I1 assS'id_number' p8 I10 sS'pretty_print' p9 I00 sS'system' p10 S'sage' p11 sS'published_id_number' p12 NsS'owner' p13 S'admin' p14 sS'viewers' p15 (lp16 sS'ratings' p17 (lp18 sS'collaborators' p19 (lp20 sS'name' p21 VOxford Seminar (1,1)-Calabi Yau p22 sS'auto_publish' p23 I00 sS'last_change' p24 (S'admin' p25 F1297684209.597744 tp26 sS'worksheet_that_was_published' p27 (g4 I10 tp28 s.ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/4/000077500000000000000000000000001273604364500301005ustar00rootroot00000000000000worksheet.html000066400000000000000000000014651273604364500327300ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/4

Równanie Newtona

$$\vec F= m\vec a$$ 

Rzut pionowy

$$F= m a$$ 

 

 Krok czasowy: $\Delta t$.

 

  • $  v = \displaystyle\frac{ \Delta  y}{\Delta t}$
  • $  a =  \displaystyle \frac{\Delta  v}{\Delta t}$
 

$$\begin{cases} \quad \displaystyle \frac{\Delta y}{\Delta t} &=& v \\ \quad \displaystyle \frac{\Delta v}{\Delta t} &=& \displaystyle \frac { F}{m} \end{cases} $$

 

 

 $\:y_0\:$  i $\:v_{0}\:$

$$\begin{cases}
\quad y &=&y_0\ +\ v_{0}\:\Delta t\\ 

\quad v &=&v_{0}\ +\  \frac{F}{m}\:\Delta t \end{cases}$$

{{{id=1| /// }}}worksheet_conf.pickle000066400000000000000000000007131273604364500342330ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/4(dp1 S'system' p2 S'sage' p3 sS'saved_by_info' p4 (dp5 sS'tags' p6 (dp7 S'admin' p8 (lp9 I1 assS'id_number' p10 I4 sS'pretty_print' p11 I00 sS'live_3D' p12 I00 sS'published_id_number' p13 NsS'owner' p14 S'admin' p15 sS'viewers' p16 (lp17 sS'ratings' p18 (lp19 sS'collaborators' p20 (lp21 sS'name' p22 VMathJax_problem1 p23 sS'auto_publish' p24 I00 sS'last_change' p25 (S'admin' p26 F1467286221.0016849 tp27 sS'worksheet_that_was_published' p28 (g15 I4 tp29 s.ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/5/000077500000000000000000000000001273604364500301015ustar00rootroot00000000000000worksheet.html000066400000000000000000000000001273604364500327110ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/5worksheet_conf.pickle000066400000000000000000000011141273604364500342300ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/2/21/212/2123/admin/5(dp1 S'system' p2 S'sage' p3 sS'saved_by_info' p4 (dp5 sS'tags' p6 (dp7 Vadmin p8 (lp9 I1 asValeksandra.slapik p10 (lp11 I1 asVmarcin.kostur p12 (lp13 I1 assS'id_number' p14 I44 sS'pretty_print' p15 I00 sS'live_3D' p16 I00 sS'published_id_number' p17 NsS'owner' p18 Valeksandra.slapik p19 sS'viewers' p20 (lp21 sS'ratings' p22 (lp23 sS'collaborators' p24 (lp25 sS'name' p26 VWDI projekt - R\u017cankowski, Kie\u0142pi\u0144ski, Kozok p27 sS'auto_publish' p28 I00 sS'last_change' p29 (S'aleksandra.slapik' p30 F1453628866.7567761 tp31 sS'worksheet_that_was_published' p32 (g10 I44 tp33 s.ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/000077500000000000000000000000001273604364500255375ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/000077500000000000000000000000001273604364500260515ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/000077500000000000000000000000001273604364500265255ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/9bbe/000077500000000000000000000000001273604364500273465ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/9bbe/_sage_/000077500000000000000000000000001273604364500305635ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/9bbe/_sage_/4/000077500000000000000000000000001273604364500307265ustar00rootroot00000000000000worksheet.html000066400000000000000000000353121273604364500335540ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/9bbe/_sage_/4

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Welcome to the Sage Tutorial!

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{{{id=1| /// }}}worksheet_conf.pickle000066400000000000000000000010011273604364500350500ustar00rootroot00000000000000ExportSageNB-2.0/test/dot_sage/sage_notebook.sagenb/home/__store__/9/9b/9bb/9bbe/_sage_/4(dp1 S'system' p2 S'sage' p3 sS'saved_by_info' p4 (dp5 sS'tags' p6 (dp7 S'admin' p8 (lp9 I1 asS'_sage_' p10 (lp11 I1 assS'id_number' p12 I4 sS'pretty_print' p13 I00 sS'live_3D' p14 I00 sS'published_id_number' p15 NsS'owner' p16 S'_sage_' p17 sS'viewers' p18 (lp19 sS'ratings' p20 (lp21 sS'collaborators' p22 (lp23 sS'name' p24 VWelcome to the Sage Tutorial! -- Sage Tutorial v6.4.rc1 p25 sS'auto_publish' p26 I00 sS'last_change' p27 (g10 F1415283547.06429 tp28 sS'worksheet_that_was_published' p29 (g10 I4 tp30 s.ExportSageNB-2.0/test/test_sagenb_list.py000066400000000000000000000017151273604364500205540ustar00rootroot00000000000000# import os import unittest from sagenb_export.sagenb_reader import ( NotebookSageNB, TextCell, ComputeCell, ) DOT_SAGE = os.path.join(os.path.dirname(__file__), 'dot_sage') class ListSageNB(unittest.TestCase): def test_list(self): nbks = list(NotebookSageNB.all_iter(DOT_SAGE)) self.assertEqual(len(nbks), 4) sage_4, admin_4, admin_10, aleks = sorted(nbks) self.assertEqual(sage_4.unique_id, '_sage_:4') self.assertEqual(sage_4.name, u'Welcome to the Sage Tutorial! -- Sage Tutorial v6.4.rc1') self.assertEqual(admin_4.unique_id, 'admin:4') self.assertEqual(admin_4.name, u'MathJax_problem1') self.assertEqual(admin_10.unique_id, 'admin:10') self.assertEqual(admin_10.name, u'Oxford Seminar (1,1)-Calabi Yau') self.assertEqual(aleks.unique_id, 'aleksandra.slapik:44') self.assertEqual(aleks.name, u'WDI projekt - R\xf3\u017cankowski, Kie\u0142pi\u0144ski, Kozok') ExportSageNB-2.0/test/test_sagenb_reader.py000066400000000000000000000060321273604364500210400ustar00rootroot00000000000000 import os import unittest import six from sagenb_export.sagenb_reader import ( NotebookSageNB, TextCell, ComputeCell, ) if six.PY2: string_type = unicode else: string_type = str DOT_SAGE = os.path.join(os.path.dirname(__file__), 'dot_sage') class ReadSageNB(unittest.TestCase): """ Test various sample notebooks """ def test_admin_10(self): notebook = NotebookSageNB.find(DOT_SAGE, 'admin:10') self.assertEqual(notebook.unique_id, 'admin:10') self.assertEqual(notebook.name, 'Oxford Seminar (1,1)-Calabi Yau') cell = list(notebook.cells) self.assertEqual(len(cell), 37) # First cell self.assertIsInstance(cell[0], TextCell) self.assertEqual(cell[0].input, '

The 24-Cell

') # Second cell self.assertIsInstance(cell[1], ComputeCell) self.assertEqual(cell[1].index, 4) self.assertEqual( cell[1].input, 'cell24 = polytopes.twenty_four_cell()\ncell24.f_vector() # it is self-dual') self.assertEqual(cell[1].output, '(1, 24, 96, 96, 24, 1)') def test_sage_4(self): notebook = NotebookSageNB.find(DOT_SAGE, '_sage_:4') self.assertEqual(notebook.unique_id, '_sage_:4') self.assertEqual(notebook.name, 'Welcome to the Sage Tutorial! -- Sage Tutorial v6.4.rc1') cell = list(notebook.cells) self.assertEqual(len(cell), 2) self.assertEqual(type(cell[0].input), string_type) self.assertEqual(type(cell[1].input), string_type) self.assertEqual(type(cell[1].output), string_type) def test_admin_4(self): notebook = NotebookSageNB.find(DOT_SAGE, 'admin:4') self.assertEqual(notebook.unique_id, 'admin:4') self.assertEqual(notebook.name, u'MathJax_problem1') cell_list = list(notebook.cells) self.assertEqual(len(cell_list), 2) # First cell cell0 = cell_list[0] self.assertIsInstance(cell0, TextCell) self.assertEqual(cell0.input, u'

R\xf3wnanie Newtona

\n

$$\\vec F= m\\vec a$$\xa0

\n

Rzut pionowy

\n

$$F= m a$$\xa0

\n

\xa0

\n

\xa0Krok czasowy: $\\Delta t$.

\n

\xa0

\n
    \n
  • $ \xa0v\xa0=\xa0\\displaystyle\\frac{ \\Delta \xa0y}{\\Delta t}$
    • \n
\n
    \n
  • $ \xa0a\xa0=\xa0 \\displaystyle \\frac{\\Delta \xa0v}{\\Delta t}$
    • \n
\n
\xa0
\n

$$\\begin{cases} \\quad \\displaystyle \\frac{\\Delta y}{\\Delta t} &=& v \\\\ \\quad \\displaystyle \\frac{\\Delta v}{\\Delta t} &=& \\displaystyle \\frac { F}{m} \\end{cases} $$

\n

\xa0

\n

\xa0

\n
\xa0$\\:y_0\\:$ \xa0i $\\:v_{0}\\:$
\n

$$\\begin{cases}
\\quad y &=&y_0\\ +\\ v_{0}\\:\\Delta t\\\\\xa0

\\quad v &=&v_{0}\\ +\\ \xa0\\frac{F}{m}\\:\\Delta t \\end{cases}$$

') # Second cell cell1 = cell_list[1] self.assertIsInstance(cell1, ComputeCell) self.assertEqual(cell1.index, 1) self.assertEqual(cell1.input, '') self.assertEqual(cell1.output, '') ExportSageNB-2.0/test/test_sagenb_writer.py000066400000000000000000000021441273604364500211120ustar00rootroot00000000000000 import os import unittest import tempfile import shutil from sagenb_export.sagenb_reader import ( NotebookSageNB, TextCell, ComputeCell, ) from sagenb_export.ipynb_writer import IpynbWriter DOT_SAGE = os.path.join(os.path.dirname(__file__), 'dot_sage') class ReadSageNB(unittest.TestCase): """ Test various sample notebooks """ def setUp(self): self.tmp = tempfile.mkdtemp(prefix='sagenb_export_') def tearDown(self): shutil.rmtree(self.tmp, ignore_errors=True) def tmp_filename(self, name): return os.path.join(self.tmp, name) def test_sage_4(self): notebook = NotebookSageNB.find(DOT_SAGE, '_sage_:4') ipynb = IpynbWriter(notebook) ipynb.write(self.tmp_filename('sage:4.ipynb')) def test_aleksandra_slapik_44(self): notebook = NotebookSageNB.find(DOT_SAGE, 'aleksandra.slapik:44') ipynb = IpynbWriter(notebook) ipynb.write(self.tmp_filename('aleksandra_slapik_44.ipynb')) ipynb.write(self.tmp_filename(u'WDI projekt - R\xf3\u017cankowski, Kie\u0142pi\u0144ski, Kozok.ipynb')) ExportSageNB-2.0/tox.ini000066400000000000000000000003041273604364500151760ustar00rootroot00000000000000[tox] envlist = py27, py34 [testenv:py27] commands=python2.7 -m unittest discover [testenv:py34] commands=python3.4 -m unittest discover [testenv:py35] commands=python3.5 -m unittest discover