{"action":"created","comment":{"url":"https://api.github.com/repos/odlgroup/odl/pulls/comments/80729209","pull_request_review_id":1764882,"id":80729209,"diff_hunk":"@@ -0,0 +1,323 @@\n+# Copyright 2014-2016 The ODL development group\n+#\n+# This file is part of ODL.\n+#\n+# ODL is free software: you can redistribute it and/or modify\n+# it under the terms of the GNU General Public License as published by\n+# the Free Software Foundation, either version 3 of the License, or\n+# (at your option) any later version.\n+#\n+# ODL is distributed in the hope that it will be useful,\n+# but WITHOUT ANY WARRANTY; without even the implied warranty of\n+# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the\n+# GNU General Public License for more details.\n+#\n+# You should have received a copy of the GNU General Public License\n+# along with ODL.  If not, see <http://www.gnu.org/licenses/>.\n+\n+\"\"\"Utilities for computing the gradient and Hessian of functionals.\"\"\"\n+\n+# Imports for common Python 2/3 codebase\n+from __future__ import print_function, division, absolute_import\n+from future import standard_library\n+standard_library.install_aliases()\n+\n+import numpy as np\n+\n+from odl.solvers.functional.functional import Functional\n+from odl.operator.operator import Operator\n+from odl.space.base_ntuples import FnBase\n+\n+\n+__all__ = ('NumericalDerivative', 'NumericalGradient',)\n+\n+\n+class NumericalDerivative(Operator):\n+\n+    \"\"\"The derivative of a operator by forward differences.\n+\n+    See Also\n+    --------\n+    NumericalGradient : Compute gradient of a functional\n+    \"\"\"\n+\n+    def __init__(self, operator, point, method='forward', step=None):\n+        \"\"\"Initialize a new instance.\n+\n+        Parameters\n+        ----------\n+        functional : `Operator`\n+            The operator whose derivative should be computed. Its domain and\n+            range must be `FnBase` spaces.\n+        point : ``functional.domain`` `element-like`\n+            The point to compute the derivative in.\n+        method : {'backward', 'forward', 'central'}\n+            The method to use to compute the derivative.\n+        step : `None` or float\n+            The step length used in the derivative computation.\n+            `None` is interpreted as selecting the step according to the dtype\n+            of the space. ``step = 1e-8`` for ``float64`` spaces and\n+            ``step = 1e-4`` for ``float32`` spaces.\n+\n+        Examples\n+        --------\n+        Compute a numerical estimate of the derivative of the L2^2 norm:","path":"odl/solvers/functional/derivatives.py","position":64,"original_position":64,"commit_id":"976d4ffa975d9fb271b87fef85ddd67b1b8c9f70","original_commit_id":"976d4ffa975d9fb271b87fef85ddd67b1b8c9f70","user":{"login":"adler-j","id":2202312,"avatar_url":"https://avatars.githubusercontent.com/u/2202312?v=3","gravatar_id":"","url":"https://api.github.com/users/adler-j","html_url":"https://github.com/adler-j","followers_url":"https://api.github.com/users/adler-j/followers","following_url":"https://api.github.com/users/adler-j/following{/other_user}","gists_url":"https://api.github.com/users/adler-j/gists{/gist_id}","starred_url":"https://api.github.com/users/adler-j/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/adler-j/subscriptions","organizations_url":"https://api.github.com/users/adler-j/orgs","repos_url":"https://api.github.com/users/adler-j/repos","events_url":"https://api.github.com/users/adler-j/events{/privacy}","received_events_url":"https://api.github.com/users/adler-j/received_events","type":"User","site_admin":false},"body":"derivative of the gradient aka hessian","created_at":"2016-09-27T16:01:41Z","updated_at":"2016-09-27T16:01:42Z","html_url":"https://github.com/odlgroup/odl/pull/624#discussion_r80729209","pull_request_url":"https://api.github.com/repos/odlgroup/odl/pulls/624","_links":{"self":{"href":"https://api.github.com/repos/odlgroup/odl/pulls/comments/80729209"},"html":{"href":"https://github.com/odlgroup/odl/pull/624#discussion_r80729209"},"pull_request":{"href":"https://api.github.com/repos/odlgroup/odl/pulls/624"}}},"pull_request":{"url":"https://api.github.com/repos/odlgroup/odl/pulls/624","id":86926193,"html_url":"https://github.com/odlgroup/odl/pull/624","diff_url":"https://github.com/odlgroup/odl/pull/624.diff","patch_url":"https://github.com/odlgroup/odl/pull/624.patch","issue_url":"https://api.github.com/repos/odlgroup/odl/issues/624","number":624,"state":"open","locked":false,"title":"ENH: Add NumericalGradient, see #623","user":{"login":"adler-j","id":2202312,"avatar_url":"https://avatars.githubusercontent.com/u/2202312?v=3","gravatar_id":"","url":"https://api.github.com/users/adler-j","html_url":"https://github.com/adler-j","followers_url":"https://api.github.com/users/adler-j/followers","following_url":"https://api.github.com/users/adler-j/following{/other_user}","gists_url":"https://api.github.com/users/adler-j/gists{/gist_id}","starred_url":"https://api.github.com/users/adler-j/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/adler-j/subscriptions","organizations_url":"https://api.github.com/users/adler-j/orgs","repos_url":"https://api.github.com/users/adler-j/repos","events_url":"https://api.github.com/users/adler-j/events{/privacy}","received_events_url":"https://api.github.com/users/adler-j/received_events","type":"User","site_admin":false},"body":"TODO:\r\n\r\n* ~~Add hessian~~\r\n\r\nReady for review, I'd say I'm actually quite happy about how this turned out.","created_at":"2016-09-27T13:08:56Z","updated_at":"2016-09-27T16:01:42Z","closed_at":null,"merged_at":null,"merge_commit_sha":"6d30da1fd2f1f075c01d363b2fb7878b622b7187","assignee":null,"assignees":[],"milestone":null,"commits_url":"https://api.github.com/repos/odlgroup/odl/pulls/624/commits","review_comments_url":"https://api.github.com/repos/odlgroup/odl/pulls/624/comments","review_comment_url":"https://api.github.com/repos/odlgroup/odl/pulls/comments{/number}","comments_url":"https://api.github.com/repos/odlgroup/odl/issues/624/comments","statuses_url":"https://api.github.com/repos/odlgroup/odl/statuses/976d4ffa975d9fb271b87fef85ddd67b1b8c9f70","head":{"label":"odlgroup:issue-623__numerical_gradient","ref":"issue-623__numerical_gradient","sha":"976d4ffa975d9fb271b87fef85ddd67b1b8c9f70","user":{"login":"odlgroup","id":15667171,"avatar_url":"https://avatars.githubusercontent.com/u/15667171?v=3","gravatar_id":"","url":"https://api.github.com/users/odlgroup","html_url":"https://github.com/odlgroup","followers_url":"https://api.github.com/users/odlgroup/followers","following_url":"https://api.github.com/users/odlgroup/following{/other_user}","gists_url":"https://api.github.com/users/odlgroup/gists{/gist_id}","starred_url":"https://api.github.com/users/odlgroup/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/odlgroup/subscriptions","organizations_url":"https://api.github.com/users/odlgroup/orgs","repos_url":"https://api.github.com/users/odlgroup/repos","events_url":"https://api.github.com/users/odlgroup/events{/privacy}","received_events_url":"https://api.github.com/users/odlgroup/received_events","type":"Organization","site_admin":false},"repo":{"id":45596393,"name":"odl","full_name":"odlgroup/odl","owner":{"login":"odlgroup","id":15667171,"avatar_url":"https://avatars.githubusercontent.com/u/15667171?v=3","gravatar_id":"","url":"https://api.github.com/users/odlgroup","html_url":"https://github.com/odlgroup","followers_url":"https://api.github.com/users/odlgroup/followers","following_url":"https://api.github.com/users/odlgroup/following{/other_user}","gists_url":"https://api.github.com/users/odlgroup/gists{/gist_id}","starred_url":"https://api.github.com/users/odlgroup/starred{/owner}{/repo}","subscriptions_url":"https://api.github.com/users/odlgroup/subscriptions","organizations_url":"https://api.github.com/users/odlgroup/orgs","repos_url":"https://api.github.com/users/odlgroup/repos","events_url":"https://api.github.com/users/odlgroup/events{/privacy}","received_events_url":"https://api.github.com/users/odlgroup/received_events","type":"Organization","site_admin":false},"private":false,"html_url":"https://github.com/odlgroup/odl","description":"Operator 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