Adding upstream version 115.8.0esr.upstream/115.8.0esr

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

28 files changed, 9534 insertions, 0 deletions

diff --git a/third_party/python/ecdsa/ecdsa-0.15.dist-info/LICENSE b/third_party/python/ecdsa/ecdsa-0.15.dist-info/LICENSE
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+"python-ecdsa" Copyright (c) 2010 Brian Warner
+
+Portions written in 2005 by Peter Pearson and placed in the public domain.
+
+Permission is hereby granted, free of charge, to any person
+obtaining a copy of this software and associated documentation
+files (the "Software"), to deal in the Software without
+restriction, including without limitation the rights to use,
+copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the
+Software is furnished to do so, subject to the following
+conditions:
+
+The above copyright notice and this permission notice shall be
+included in all copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES
+OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT
+HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
+WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
+FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR
+OTHER DEALINGS IN THE SOFTWARE.
diff --git a/third_party/python/ecdsa/ecdsa-0.15.dist-info/METADATA b/third_party/python/ecdsa/ecdsa-0.15.dist-info/METADATA
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+Metadata-Version: 2.1
+Name: ecdsa
+Version: 0.15
+Summary: ECDSA cryptographic signature library (pure python)
+Home-page: http://github.com/warner/python-ecdsa
+Author: Brian Warner
+Author-email: warner@lothar.com
+License: MIT
+Platform: UNKNOWN
+Classifier: Programming Language :: Python
+Classifier: Programming Language :: Python :: 2
+Classifier: Programming Language :: Python :: 2.6
+Classifier: Programming Language :: Python :: 2.7
+Classifier: Programming Language :: Python :: 3
+Classifier: Programming Language :: Python :: 3.3
+Classifier: Programming Language :: Python :: 3.4
+Classifier: Programming Language :: Python :: 3.5
+Classifier: Programming Language :: Python :: 3.6
+Classifier: Programming Language :: Python :: 3.7
+Classifier: Programming Language :: Python :: 3.8
+Requires-Python: >=2.6, !=3.0.*, !=3.1.*, !=3.2.*
+Description-Content-Type: text/markdown
+Requires-Dist: six (>=1.9.0)
+Provides-Extra: gmpy
+Requires-Dist: gmpy ; extra == 'gmpy'
+Provides-Extra: gmpy2
+Requires-Dist: gmpy2 ; extra == 'gmpy2'
+
+# Pure-Python ECDSA
+
+[![build status](https://travis-ci.org/warner/python-ecdsa.png)](http://travis-ci.org/warner/python-ecdsa)
+[![Coverage Status](https://coveralls.io/repos/warner/python-ecdsa/badge.svg)](https://coveralls.io/r/warner/python-ecdsa)
+[![condition coverage](https://img.shields.io/badge/condition%20coverage-81%25-yellow)](https://travis-ci.org/warner/python-ecdsa/jobs/626479178#L776)
+[![Latest Version](https://img.shields.io/pypi/v/ecdsa.svg?style=flat)](https://pypi.python.org/pypi/ecdsa/)
+
+
+This is an easy-to-use implementation of ECDSA cryptography (Elliptic Curve
+Digital Signature Algorithm), implemented purely in Python, released under
+the MIT license. With this library, you can quickly create keypairs (signing
+key and verifying key), sign messages, and verify the signatures. The keys
+and signatures are very short, making them easy to handle and incorporate
+into other protocols.
+
+## Features
+
+This library provides key generation, signing, and verifying, for five
+popular NIST "Suite B" GF(p) (_prime field_) curves, with key lengths of 192,
+224, 256, 384, and 521 bits. The "short names" for these curves, as known by
+the OpenSSL tool (`openssl ecparam -list_curves`), are: `prime192v1`,
+`secp224r1`, `prime256v1`, `secp384r1`, and `secp521r1`. It includes the
+256-bit curve `secp256k1` used by Bitcoin. There is also support for the
+regular (non-twisted) variants of Brainpool curves from 160 to 512 bits. The
+"short names" of those curves are: `brainpoolP160r1`, `brainpoolP192r1`,
+`brainpoolP224r1`, `brainpoolP256r1`, `brainpoolP320r1`, `brainpoolP384r1`,
+`brainpoolP512r1`.
+No other curves are included, but it is not too hard to add support for more
+curves over prime fields.
+
+## Dependencies
+
+This library uses only Python and the 'six' package. It is compatible with
+Python 2.6, 2.7 and 3.3+. It also supports execution on the alternative
+implementations like pypy and pypy3.
+
+If `gmpy2` or `gmpy` is installed, they will be used for faster arithmetic.
+Either of them can be installed after this library is installed,
+`python-ecdsa` will detect their presence on start-up and use them
+automatically.
+
+To run the OpenSSL compatibility tests, the 'openssl' tool must be in your
+`PATH`. This release has been tested successfully against OpenSSL 0.9.8o,
+1.0.0a, 1.0.2f and 1.1.1d (among others).
+
+
+## Installation
+
+This library is available on PyPI, it's recommended to install it using `pip`:
+
+```
+pip install ecdsa
+```
+
+In case higher performance is wanted and using native code is not a problem,
+it's possible to specify installation together with `gmpy2`:
+
+```
+pip install ecdsa[gmpy2]
+```
+
+or (slower, legacy option):
+```
+pip install ecdsa[gmpy]
+```
+
+## Speed
+
+The following table shows how long this library takes to generate keypairs
+(`keygen`), to sign data (`sign`), and to verify those signatures (`verify`).
+All those values are in seconds.
+For convenience, the inverses of those values are also provided:
+how many keys per second can be generated (`keygen/s`), how many signatures
+can be made per second (`sign/s`) and how many signatures can be verified
+per second (`verify/s`). The size of raw signature (generally the smallest
+way a signature can be encoded) is also provided in the `siglen` column.
+Use `tox -e speed` to generate this table on your own computer.
+On an Intel Core i7 4790K @ 4.0GHz I'm getting the following performance:
+
+```
+                  siglen    keygen   keygen/s      sign     sign/s    verify   verify/s
+        NIST192p:     48   0.00035s   2893.02   0.00038s   2620.53   0.00069s   1458.92
+        NIST224p:     56   0.00043s   2307.11   0.00048s   2092.00   0.00088s   1131.33
+        NIST256p:     64   0.00056s   1793.70   0.00061s   1639.87   0.00113s    883.79
+        NIST384p:     96   0.00116s    864.33   0.00124s    806.29   0.00233s    429.87
+        NIST521p:    132   0.00221s    452.16   0.00234s    427.31   0.00460s    217.19
+       SECP256k1:     64   0.00056s   1772.65   0.00061s   1628.73   0.00110s    912.13
+ BRAINPOOLP160r1:     40   0.00026s   3801.86   0.00029s   3401.11   0.00052s   1930.47
+ BRAINPOOLP192r1:     48   0.00034s   2925.73   0.00038s   2634.34   0.00070s   1438.06
+ BRAINPOOLP224r1:     56   0.00044s   2287.98   0.00048s   2083.87   0.00088s   1137.52
+ BRAINPOOLP256r1:     64   0.00056s   1774.11   0.00061s   1628.25   0.00112s    890.71
+ BRAINPOOLP320r1:     80   0.00081s   1238.18   0.00087s   1146.71   0.00151s    661.95
+ BRAINPOOLP384r1:     96   0.00117s    855.47   0.00124s    804.56   0.00241s    414.83
+ BRAINPOOLP512r1:    128   0.00223s    447.99   0.00234s    427.49   0.00437s    229.09
+
+                       ecdh     ecdh/s
+        NIST192p:   0.00110s    910.70
+        NIST224p:   0.00143s    701.17
+        NIST256p:   0.00178s    560.44
+        NIST384p:   0.00383s    261.03
+        NIST521p:   0.00745s    134.23
+       SECP256k1:   0.00168s    596.23
+ BRAINPOOLP160r1:   0.00085s   1174.02
+ BRAINPOOLP192r1:   0.00113s    883.47
+ BRAINPOOLP224r1:   0.00145s    687.82
+ BRAINPOOLP256r1:   0.00195s    514.03
+ BRAINPOOLP320r1:   0.00277s    360.80
+ BRAINPOOLP384r1:   0.00412s    242.58
+ BRAINPOOLP512r1:   0.00787s    127.12
+```
+
+To test performance with `gmpy2` loaded, use `tox -e speedgmpy2`.
+On the same machine I'm getting the following performance with `gmpy2`:
+```
+                  siglen    keygen   keygen/s      sign     sign/s    verify   verify/s
+        NIST192p:     48   0.00017s   5945.50   0.00018s   5544.66   0.00033s   3002.54
+        NIST224p:     56   0.00021s   4742.14   0.00022s   4463.52   0.00044s   2248.59
+        NIST256p:     64   0.00024s   4155.73   0.00025s   3994.28   0.00047s   2105.34
+        NIST384p:     96   0.00041s   2415.06   0.00043s   2316.41   0.00085s   1177.18
+        NIST521p:    132   0.00072s   1391.14   0.00074s   1359.63   0.00140s    716.31
+       SECP256k1:     64   0.00024s   4216.50   0.00025s   3994.52   0.00047s   2120.57
+ BRAINPOOLP160r1:     40   0.00014s   7038.99   0.00015s   6501.55   0.00029s   3397.79
+ BRAINPOOLP192r1:     48   0.00017s   5983.18   0.00018s   5626.08   0.00035s   2843.62
+ BRAINPOOLP224r1:     56   0.00021s   4727.54   0.00022s   4464.86   0.00043s   2326.84
+ BRAINPOOLP256r1:     64   0.00024s   4221.00   0.00025s   4010.26   0.00049s   2046.40
+ BRAINPOOLP320r1:     80   0.00032s   3142.14   0.00033s   3009.15   0.00061s   1652.88
+ BRAINPOOLP384r1:     96   0.00041s   2415.98   0.00043s   2340.35   0.00083s   1198.77
+ BRAINPOOLP512r1:    128   0.00064s   1567.27   0.00066s   1526.33   0.00127s    788.51
+
+                       ecdh     ecdh/s
+        NIST192p:   0.00051s   1960.26
+        NIST224p:   0.00067s   1502.97
+        NIST256p:   0.00073s   1376.12
+        NIST384p:   0.00132s    758.68
+        NIST521p:   0.00231s    433.23
+       SECP256k1:   0.00072s   1387.18
+ BRAINPOOLP160r1:   0.00042s   2366.60
+ BRAINPOOLP192r1:   0.00049s   2026.80
+ BRAINPOOLP224r1:   0.00067s   1486.52
+ BRAINPOOLP256r1:   0.00076s   1310.31
+ BRAINPOOLP320r1:   0.00101s    986.16
+ BRAINPOOLP384r1:   0.00131s    761.35
+ BRAINPOOLP512r1:   0.00211s    473.30
+```
+
+(there's also `gmpy` version, execute it using `tox -e speedgmpy`)
+
+For comparison, a highly optimised implementation (including curve-specific
+assembly for some curves), like the one in OpenSSL 1.1.1d, provides following
+performance numbers on the same machine.
+Run `openssl speed ecdsa` and `openssl speed ecdh` to reproduce it:
+```
+                              sign    verify    sign/s verify/s
+ 192 bits ecdsa (nistp192)   0.0002s   0.0002s   4785.6   5380.7
+ 224 bits ecdsa (nistp224)   0.0000s   0.0001s  22475.6   9822.0
+ 256 bits ecdsa (nistp256)   0.0000s   0.0001s  45069.6  14166.6
+ 384 bits ecdsa (nistp384)   0.0008s   0.0006s   1265.6   1648.1
+ 521 bits ecdsa (nistp521)   0.0003s   0.0005s   3753.1   1819.5
+ 256 bits ecdsa (brainpoolP256r1)   0.0003s   0.0003s   2983.5   3333.2
+ 384 bits ecdsa (brainpoolP384r1)   0.0008s   0.0007s   1258.8   1528.1
+ 512 bits ecdsa (brainpoolP512r1)   0.0015s   0.0012s    675.1    860.1
+
+                               op      op/s
+ 192 bits ecdh (nistp192)   0.0002s   4853.4
+ 224 bits ecdh (nistp224)   0.0001s  15252.1
+ 256 bits ecdh (nistp256)   0.0001s  18436.3
+ 384 bits ecdh (nistp384)   0.0008s   1292.7
+ 521 bits ecdh (nistp521)   0.0003s   2884.7
+ 256 bits ecdh (brainpoolP256r1)   0.0003s   3066.5
+ 384 bits ecdh (brainpoolP384r1)   0.0008s   1298.0
+ 512 bits ecdh (brainpoolP512r1)   0.0014s    694.8
+```
+
+Keys and signature can be serialized in different ways (see Usage, below).
+For a NIST192p key, the three basic representations require strings of the
+following lengths (in bytes):
+
+    to_string:  signkey= 24, verifykey= 48, signature=48
+    compressed: signkey=n/a, verifykey= 25, signature=n/a
+    DER:        signkey=106, verifykey= 80, signature=55
+    PEM:        signkey=278, verifykey=162, (no support for PEM signatures)
+
+## History
+
+In 2006, Peter Pearson announced his pure-python implementation of ECDSA in a
+[message to sci.crypt][1], available from his [download site][2]. In 2010,
+Brian Warner wrote a wrapper around this code, to make it a bit easier and
+safer to use. Hubert Kario then included an implementation of elliptic curve
+cryptography that uses Jacobian coordinates internally, improving performance
+about 20-fold. You are looking at the README for this wrapper.
+
+[1]: http://www.derkeiler.com/Newsgroups/sci.crypt/2006-01/msg00651.html
+[2]: http://webpages.charter.net/curryfans/peter/downloads.html
+
+## Testing
+
+To run the full test suite, do this:
+
+    tox -e coverage
+
+On an Intel Core i7 4790K @ 4.0GHz, the tests take about 16 seconds to execute.
+The test suite uses
+[`hypothesis`](https://github.com/HypothesisWorks/hypothesis) so there is some
+inherent variability in the test suite execution time.
+
+One part of `test_pyecdsa.py` checks compatibility with OpenSSL, by
+running the "openssl" CLI tool, make sure it's in your `PATH` if you want
+to test compatibility with it.
+
+## Security
+
+This library was not designed with security in mind. If you are processing
+data that needs to be protected we suggest you use a quality wrapper around
+OpenSSL. [pyca/cryptography](https://cryptography.io) is one example of such
+a wrapper. The primary use-case of this library is as a portable library for
+interoperability testing and as a teaching tool.
+
+**This library does not protect against side channel attacks.**
+
+Do not allow attackers to measure how long it takes you to generate a keypair
+or sign a message. Do not allow attackers to run code on the same physical
+machine when keypair generation or signing is taking place (this includes
+virtual machines). Do not allow attackers to measure how much power your
+computer uses while generating the keypair or signing a message. Do not allow
+attackers to measure RF interference coming from your computer while generating
+a keypair or signing a message. Note: just loading the private key will cause
+keypair generation. Other operations or attack vectors may also be
+vulnerable to attacks. **For a sophisticated attacker observing just one
+operation with a private key will be sufficient to completely
+reconstruct the private key**.
+
+Please also note that any Pure-python cryptographic library will be vulnerable
+to the same side channel attacks. This is because Python does not provide
+side-channel secure primitives (with the exception of
+[`hmac.compare_digest()`][3]), making side-channel secure programming
+impossible.
+
+This library depends upon a strong source of random numbers. Do not use it on
+a system where `os.urandom()` does not provide cryptographically secure
+random numbers.
+
+[3]: https://docs.python.org/3/library/hmac.html#hmac.compare_digest
+
+## Usage
+
+You start by creating a `SigningKey`. You can use this to sign data, by passing
+in data as a byte string and getting back the signature (also a byte string).
+You can also ask a `SigningKey` to give you the corresponding `VerifyingKey`.
+The `VerifyingKey` can be used to verify a signature, by passing it both the
+data string and the signature byte string: it either returns True or raises
+`BadSignatureError`.
+
+```python
+from ecdsa import SigningKey
+sk = SigningKey.generate() # uses NIST192p
+vk = sk.verifying_key
+signature = sk.sign(b"message")
+assert vk.verify(signature, b"message")
+```
+
+Each `SigningKey`/`VerifyingKey` is associated with a specific curve, like
+NIST192p (the default one). Longer curves are more secure, but take longer to
+use, and result in longer keys and signatures.
+
+```python
+from ecdsa import SigningKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+vk = sk.verifying_key
+signature = sk.sign(b"message")
+assert vk.verify(signature, b"message")
+```
+
+The `SigningKey` can be serialized into several different formats: the shortest
+is to call `s=sk.to_string()`, and then re-create it with
+`SigningKey.from_string(s, curve)` . This short form does not record the
+curve, so you must be sure to pass to `from_string()` the same curve you used
+for the original key. The short form of a NIST192p-based signing key is just 24
+bytes long. If a point encoding is invalid or it does not lie on the specified
+curve, `from_string()` will raise `MalformedPointError`.
+
+```python
+from ecdsa import SigningKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+sk_string = sk.to_string()
+sk2 = SigningKey.from_string(sk_string, curve=NIST384p)
+print(sk_string.hex())
+print(sk2.to_string().hex())
+```
+
+Note: while the methods are called `to_string()` the type they return is
+actually `bytes`, the "string" part is leftover from Python 2.
+
+`sk.to_pem()` and `sk.to_der()` will serialize the signing key into the same
+formats that OpenSSL uses. The PEM file looks like the familiar ASCII-armored
+`"-----BEGIN EC PRIVATE KEY-----"` base64-encoded format, and the DER format
+is a shorter binary form of the same data.
+`SigningKey.from_pem()/.from_der()` will undo this serialization. These
+formats include the curve name, so you do not need to pass in a curve
+identifier to the deserializer. In case the file is malformed `from_der()`
+and `from_pem()` will raise `UnexpectedDER` or` MalformedPointError`.
+
+```python
+from ecdsa import SigningKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+sk_pem = sk.to_pem()
+sk2 = SigningKey.from_pem(sk_pem)
+# sk and sk2 are the same key
+```
+
+Likewise, the `VerifyingKey` can be serialized in the same way:
+`vk.to_string()/VerifyingKey.from_string()`, `to_pem()/from_pem()`, and
+`to_der()/from_der()`. The same `curve=` argument is needed for
+`VerifyingKey.from_string()`.
+
+```python
+from ecdsa import SigningKey, VerifyingKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+vk = sk.verifying_key
+vk_string = vk.to_string()
+vk2 = VerifyingKey.from_string(vk_string, curve=NIST384p)
+# vk and vk2 are the same key
+
+from ecdsa import SigningKey, VerifyingKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+vk = sk.verifying_key
+vk_pem = vk.to_pem()
+vk2 = VerifyingKey.from_pem(vk_pem)
+# vk and vk2 are the same key
+```
+
+There are a couple of different ways to compute a signature. Fundamentally,
+ECDSA takes a number that represents the data being signed, and returns a
+pair of numbers that represent the signature. The `hashfunc=` argument to
+`sk.sign()` and `vk.verify()` is used to turn an arbitrary string into
+fixed-length digest, which is then turned into a number that ECDSA can sign,
+and both sign and verify must use the same approach. The default value is
+`hashlib.sha1`, but if you use NIST256p or a longer curve, you can use
+`hashlib.sha256` instead.
+
+There are also multiple ways to represent a signature. The default
+`sk.sign()` and `vk.verify()` methods present it as a short string, for
+simplicity and minimal overhead. To use a different scheme, use the
+`sk.sign(sigencode=)` and `vk.verify(sigdecode=)` arguments. There are helper
+functions in the `ecdsa.util` module that can be useful here.
+
+It is also possible to create a `SigningKey` from a "seed", which is
+deterministic. This can be used in protocols where you want to derive
+consistent signing keys from some other secret, for example when you want
+three separate keys and only want to store a single master secret. You should
+start with a uniformly-distributed unguessable seed with about `curve.baselen`
+bytes of entropy, and then use one of the helper functions in `ecdsa.util` to
+convert it into an integer in the correct range, and then finally pass it
+into `SigningKey.from_secret_exponent()`, like this:
+
+```python
+import os
+from ecdsa import NIST384p, SigningKey
+from ecdsa.util import randrange_from_seed__trytryagain
+
+def make_key(seed):
+  secexp = randrange_from_seed__trytryagain(seed, NIST384p.order)
+  return SigningKey.from_secret_exponent(secexp, curve=NIST384p)
+
+seed = os.urandom(NIST384p.baselen) # or other starting point
+sk1a = make_key(seed)
+sk1b = make_key(seed)
+# note: sk1a and sk1b are the same key
+assert sk1a.to_string() == sk1b.to_string()
+sk2 = make_key(b"2-"+seed)  # different key
+assert sk1a.to_string() != sk2.to_string()
+```
+
+In case the application will verify a lot of signatures made with a single
+key, it's possible to precompute some of the internal values to make
+signature verification significantly faster. The break-even point occurs at
+about 100 signatures verified.
+
+To perform precomputation, you can call the `precompute()` method
+on `VerifyingKey` instance:
+```python
+from ecdsa import SigningKey, NIST384p
+sk = SigningKey.generate(curve=NIST384p)
+vk = sk.verifying_key
+vk.precompute()
+signature = sk.sign(b"message")
+assert vk.verify(signature, b"message")
+```
+
+Once `precompute()` was called, all signature verifications with this key will
+be faster to execute.
+
+## OpenSSL Compatibility
+
+To produce signatures that can be verified by OpenSSL tools, or to verify
+signatures that were produced by those tools, use:
+
+```python
+# openssl ecparam -name prime256v1 -genkey -out sk.pem
+# openssl ec -in sk.pem -pubout -out vk.pem
+# echo "data for signing" > data
+# openssl dgst -sha256 -sign sk.pem -out data.sig data
+# openssl dgst -sha256 -verify vk.pem -signature data.sig data
+# openssl dgst -sha256 -prverify sk.pem -signature data.sig data
+
+import hashlib
+from ecdsa import SigningKey, VerifyingKey
+from ecdsa.util import sigencode_der, sigdecode_der
+
+with open("vk.pem") as f:
+   vk = VerifyingKey.from_pem(f.read())
+
+with open("data", "rb") as f:
+   data = f.read()
+
+with open("data.sig", "rb") as f:
+   signature = f.read()
+
+assert vk.verify(signature, data, hashlib.sha256, sigdecode=sigdecode_der)
+
+with open("sk.pem") as f:
+   sk = SigningKey.from_pem(f.read(), hashlib.sha256)
+
+new_signature = sk.sign_deterministic(data, sigencode=sigencode_der)
+
+with open("data.sig2", "wb") as f:
+   f.write(new_signature)
+
+# openssl dgst -sha256 -verify vk.pem -signature data.sig2 data
+```
+
+Note: if compatibility with OpenSSL 1.0.0 or earlier is necessary, the
+`sigencode_string` and `sigdecode_string` from `ecdsa.util` can be used for
+respectively writing and reading the signatures.
+
+The keys also can be written in format that openssl can handle:
+
+```python
+from ecdsa import SigningKey, VerifyingKey
+
+with open("sk.pem") as f:
+    sk = SigningKey.from_pem(f.read())
+with open("sk.pem", "wb") as f:
+    f.write(sk.to_pem())
+
+with open("vk.pem") as f:
+    vk = VerifyingKey.from_pem(f.read())
+with open("vk.pem", "wb") as f:
+    f.write(vk.to_pem())
+```
+
+## Entropy
+
+Creating a signing key with `SigningKey.generate()` requires some form of
+entropy (as opposed to
+`from_secret_exponent`/`from_string`/`from_der`/`from_pem`,
+which are deterministic and do not require an entropy source). The default
+source is `os.urandom()`, but you can pass any other function that behaves
+like `os.urandom` as the `entropy=` argument to do something different. This
+may be useful in unit tests, where you want to achieve repeatable results. The
+`ecdsa.util.PRNG` utility is handy here: it takes a seed and produces a strong
+pseudo-random stream from it:
+
+```python
+from ecdsa.util import PRNG
+from ecdsa import SigningKey
+rng1 = PRNG(b"seed")
+sk1 = SigningKey.generate(entropy=rng1)
+rng2 = PRNG(b"seed")
+sk2 = SigningKey.generate(entropy=rng2)
+# sk1 and sk2 are the same key
+```
+
+Likewise, ECDSA signature generation requires a random number, and each
+signature must use a different one (using the same number twice will
+immediately reveal the private signing key). The `sk.sign()` method takes an
+`entropy=` argument which behaves the same as `SigningKey.generate(entropy=)`.
+
+## Deterministic Signatures
+
+If you call `SigningKey.sign_deterministic(data)` instead of `.sign(data)`,
+the code will generate a deterministic signature instead of a random one.
+This uses the algorithm from RFC6979 to safely generate a unique `k` value,
+derived from the private key and the message being signed. Each time you sign
+the same message with the same key, you will get the same signature (using
+the same `k`).
+
+This may become the default in a future version, as it is not vulnerable to
+failures of the entropy source.
+
+## Examples
+
+Create a NIST192p keypair and immediately save both to disk:
+
+```python
+from ecdsa import SigningKey
+sk = SigningKey.generate()
+vk = sk.verifying_key
+with open("private.pem", "wb") as f:
+    f.write(sk.to_pem())
+with open("public.pem", "wb") as f:
+    f.write(vk.to_pem())
+```
+
+Load a signing key from disk, use it to sign a message (using SHA-1), and write
+the signature to disk:
+
+```python
+from ecdsa import SigningKey
+with open("private.pem") as f:
+    sk = SigningKey.from_pem(f.read())
+with open("message", "rb") as f:
+    message = f.read()
+sig = sk.sign(message)
+with open("signature", "wb") as f:
+    f.write(sig)
+```
+
+Load the verifying key, message, and signature from disk, and verify the
+signature (assume SHA-1 hash):
+
+```python
+from ecdsa import VerifyingKey, BadSignatureError
+vk = VerifyingKey.from_pem(open("public.pem").read())
+with open("message", "rb") as f:
+    message = f.read()
+with open("signature", "rb") as f:
+    sig = f.read()
+try:
+    vk.verify(sig, message)
+    print "good signature"
+except BadSignatureError:
+    print "BAD SIGNATURE"
+```
+
+Create a NIST521p keypair:
+
+```python
+from ecdsa import SigningKey, NIST521p
+sk = SigningKey.generate(curve=NIST521p)
+vk = sk.verifying_key
+```
+
+Create three independent signing keys from a master seed:
+
+```python
+from ecdsa import NIST192p, SigningKey
+from ecdsa.util import randrange_from_seed__trytryagain
+
+def make_key_from_seed(seed, curve=NIST192p):
+    secexp = randrange_from_seed__trytryagain(seed, curve.order)
+    return SigningKey.from_secret_exponent(secexp, curve)
+
+sk1 = make_key_from_seed("1:%s" % seed)
+sk2 = make_key_from_seed("2:%s" % seed)
+sk3 = make_key_from_seed("3:%s" % seed)
+```
+
+Load a verifying key from disk and print it using hex encoding in
+uncompressed and compressed format (defined in X9.62 and SEC1 standards):
+
+```python
+from ecdsa import VerifyingKey
+
+with open("public.pem") as f:
+    vk = VerifyingKey.from_pem(f.read())
+
+print("uncompressed: {0}".format(vk.to_string("uncompressed").hex()))
+print("compressed: {0}".format(vk.to_string("compressed").hex()))
+```
+
+Load a verifying key from a hex string from compressed format, output
+uncompressed:
+
+```python
+from ecdsa import VerifyingKey, NIST256p
+
+comp_str = '022799c0d0ee09772fdd337d4f28dc155581951d07082fb19a38aa396b67e77759'
+vk = VerifyingKey.from_string(bytearray.fromhex(comp_str), curve=NIST256p)
+print(vk.to_string("uncompressed").hex())
+```
+
+ECDH key exchange with remote party
+
+```python
+from ecdsa import ECDH, NIST256p
+
+ecdh = ECDH(curve=NIST256p)
+ecdh.generate_private_key()
+local_public_key = ecdh.get_public_key()
+#send `local_public_key` to remote party and receive `remote_public_key` from remote party
+with open("remote_public_key.pem") as e:
+    remote_public_key = e.read()
+ecdh.load_received_public_key_pem(remote_public_key)
+secret = ecdh.generate_sharedsecret_bytes()
+```
+
+
diff --git a/third_party/python/ecdsa/ecdsa-0.15.dist-info/RECORD b/third_party/python/ecdsa/ecdsa-0.15.dist-info/RECORD
new file mode 100644
index 0000000000..1a0163a7c0
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa-0.15.dist-info/RECORD
@@ -0,0 +1,28 @@
+ecdsa/__init__.py,sha256=3wbqSX9mkjn_sjkbx2vU-MJbKg0uz8DYLAZE5Jk4iyc,1219
+ecdsa/_compat.py,sha256=qmUf5lfl20-p8JleM4etlhplAEN37gbBqadBxXboomo,1108
+ecdsa/_rwlock.py,sha256=UVXDDwWF115oQroaHUtQo88uhhIoMLPIKfDQq3i7ETc,2848
+ecdsa/_version.py,sha256=J5ustrqphtIgbQXJKWGzATMRfq4koBTZ2UYvZuesnRw,496
+ecdsa/curves.py,sha256=Snq0JL6lydJunmSHeeycWvUQJ8Sj5N1tavcw6ZlZ4ik,4278
+ecdsa/der.py,sha256=rfV-KrVw10YAA2EWkVA4vZgbdeEhgsXaXfDd3S5qpp8,13864
+ecdsa/ecdh.py,sha256=qsUDPGMF9-tiqLaA9xUfhNBoUQ49gtMMFrc_O1YO_BQ,10459
+ecdsa/ecdsa.py,sha256=MB7v-2hUV982oOk-OzmKLtq-GXIPjNNK-Yd_dM4VcqU,17546
+ecdsa/ellipticcurve.py,sha256=wa3Om5WkW-HszXlBzyKdGaFfbQDsLABDCSXfrBzSMx0,24278
+ecdsa/keys.py,sha256=jeDeK5-G4C5jYebV0_sQGavRUQp5grNY7CV9eOH7o7I,52990
+ecdsa/numbertheory.py,sha256=FQiMnzY92Qi-Tt2z1czVd5MvaqqXzRgwlChZwPhwxEQ,15427
+ecdsa/rfc6979.py,sha256=7MR1nf19ZBD-EDgztlJ1SfSwLjlx3ePPb9BBFW7aEHo,2701
+ecdsa/test_der.py,sha256=XGZwUhZORvAZKEiWTLDDKlF_4JBplbUmTwkfdN-KGXU,12609
+ecdsa/test_ecdh.py,sha256=VlkuPt7fqwGh1nWwLVA-10Pguu5PYqWVaEOTDO7qlGM,13472
+ecdsa/test_ecdsa.py,sha256=zGC5L5vqc8nWNOKf0KOaUu3rJuLvpICioQ8tSypEjxs,18334
+ecdsa/test_ellipticcurve.py,sha256=odDCqwJm_sQgDFja9xSklpVskpXG5ebJ4xpBONU0duQ,6160
+ecdsa/test_jacobi.py,sha256=iGtWSMLpJ8HmJlrJkU7aiC5d50I8ahHKXFWfd0o_YP4,10778
+ecdsa/test_keys.py,sha256=NcnvEHsHJ0W-5T1F7M2RS9MzdR26ELlTv2LfAgMqEaU,12701
+ecdsa/test_malformed_sigs.py,sha256=6ow1rb-A-lbFD-TZjcl6a8VV9bwV2aL5Z0kwYJ4SJfk,10170
+ecdsa/test_numbertheory.py,sha256=KwC75hI2NfVPctlYki4JIUT8hUUcoK0x1AjcXDZQrow,9004
+ecdsa/test_pyecdsa.py,sha256=FqGtHsqwOpWz3Ne0Cmgib508pcEGv1b31eEBo-PQ5bE,64737
+ecdsa/test_rw_lock.py,sha256=5Gu_H73gU8Pb1_86X3AzkLMTYOtE4qdAwDOzBsEVbjk,6899
+ecdsa/util.py,sha256=CO6Jj3kUL28fIM3KnsevxYQJ1TCAAYDgCSacDAbSMu0,14007
+ecdsa-0.15.dist-info/LICENSE,sha256=PsqYRXc9LluMydjBGdNF8ApIBuS9Zg1KPWzfnA6di7I,1147
+ecdsa-0.15.dist-info/METADATA,sha256=Vipd5pI4sqqaWMjmDzRNRkZCQaq1YDHOHkAJPlI92tw,24899
+ecdsa-0.15.dist-info/WHEEL,sha256=8zNYZbwQSXoB9IfXOjPfeNwvAsALAjffgk27FqvCWbo,110
+ecdsa-0.15.dist-info/top_level.txt,sha256=7ovPHfAPyTou19f8gOSbHm6B9dGjTibWolcCB7Zjovs,6
+ecdsa-0.15.dist-info/RECORD,,
diff --git a/third_party/python/ecdsa/ecdsa-0.15.dist-info/WHEEL b/third_party/python/ecdsa/ecdsa-0.15.dist-info/WHEEL
new file mode 100644
index 0000000000..8b701e93c2
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa-0.15.dist-info/WHEEL
@@ -0,0 +1,6 @@
+Wheel-Version: 1.0
+Generator: bdist_wheel (0.33.6)
+Root-Is-Purelib: true
+Tag: py2-none-any
+Tag: py3-none-any
+
diff --git a/third_party/python/ecdsa/ecdsa-0.15.dist-info/top_level.txt b/third_party/python/ecdsa/ecdsa-0.15.dist-info/top_level.txt
new file mode 100644
index 0000000000..aa5efdb547
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa-0.15.dist-info/top_level.txt
@@ -0,0 +1 @@
+ecdsa
diff --git a/third_party/python/ecdsa/ecdsa/__init__.py b/third_party/python/ecdsa/ecdsa/__init__.py
new file mode 100644
index 0000000000..eef5fe38c4
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/__init__.py
@@ -0,0 +1,25 @@
+from .keys import SigningKey, VerifyingKey, BadSignatureError, BadDigestError,\
+    MalformedPointError
+from .curves import NIST192p, NIST224p, NIST256p, NIST384p, NIST521p,\
+    SECP256k1, BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1,\
+    BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1, BRAINPOOLP512r1
+from .ecdh import ECDH, NoKeyError, NoCurveError, InvalidCurveError, \
+    InvalidSharedSecretError
+from .der import UnexpectedDER
+
+# This code comes from http://github.com/warner/python-ecdsa
+from ._version import get_versions
+__version__ = get_versions()['version']
+del get_versions
+
+__all__ = ["curves", "der", "ecdsa", "ellipticcurve", "keys", "numbertheory",
+           "test_pyecdsa", "util", "six"]
+
+_hush_pyflakes = [SigningKey, VerifyingKey, BadSignatureError, BadDigestError,
+                  MalformedPointError, UnexpectedDER, InvalidCurveError,
+                  NoKeyError, InvalidSharedSecretError, ECDH, NoCurveError,
+                  NIST192p, NIST224p, NIST256p, NIST384p, NIST521p, SECP256k1,
+                  BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1,
+                  BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1,
+                  BRAINPOOLP512r1]
+del _hush_pyflakes
diff --git a/third_party/python/ecdsa/ecdsa/_compat.py b/third_party/python/ecdsa/ecdsa/_compat.py
new file mode 100644
index 0000000000..965d8c47b5
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/_compat.py
@@ -0,0 +1,39 @@
+"""
+Common functions for providing cross-python version compatibility.
+"""
+import sys
+from six import integer_types
+
+
+def str_idx_as_int(string, index):
+    """Take index'th byte from string, return as integer"""
+    val = string[index]
+    if isinstance(val, integer_types):
+        return val
+    return ord(val)
+
+
+if sys.version_info < (3, 0):
+    def normalise_bytes(buffer_object):
+        """Cast the input into array of bytes."""
+        # flake8 runs on py3 where `buffer` indeed doesn't exist...
+        return buffer(buffer_object)  # noqa: F821
+
+    def hmac_compat(ret):
+        return ret
+
+else:
+    if sys.version_info < (3, 4):
+        # on python 3.3 hmac.hmac.update() accepts only bytes, on newer
+        # versions it does accept memoryview() also
+        def hmac_compat(data):
+            if not isinstance(data, bytes):
+                return bytes(data)
+            return data
+    else:
+        def hmac_compat(data):
+            return data
+
+    def normalise_bytes(buffer_object):
+        """Cast the input into array of bytes."""
+        return memoryview(buffer_object).cast('B')
diff --git a/third_party/python/ecdsa/ecdsa/_rwlock.py b/third_party/python/ecdsa/ecdsa/_rwlock.py
new file mode 100644
index 0000000000..e4ef78dcfc
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/_rwlock.py
@@ -0,0 +1,85 @@
+# Copyright Mateusz Kobos, (c) 2011
+# https://code.activestate.com/recipes/577803-reader-writer-lock-with-priority-for-writers/
+# released under the MIT licence
+
+import threading
+
+
+__author__ = "Mateusz Kobos"
+
+
+class RWLock:
+    """
+    Read-Write locking primitive
+
+    Synchronization object used in a solution of so-called second
+    readers-writers problem. In this problem, many readers can simultaneously
+    access a share, and a writer has an exclusive access to this share.
+    Additionally, the following constraints should be met:
+    1) no reader should be kept waiting if the share is currently opened for
+       reading unless a writer is also waiting for the share,
+    2) no writer should be kept waiting for the share longer than absolutely
+       necessary.
+
+    The implementation is based on [1, secs. 4.2.2, 4.2.6, 4.2.7]
+    with a modification -- adding an additional lock (C{self.__readers_queue})
+    -- in accordance with [2].
+
+    Sources:
+    [1] A.B. Downey: "The little book of semaphores", Version 2.1.5, 2008
+    [2] P.J. Courtois, F. Heymans, D.L. Parnas:
+        "Concurrent Control with 'Readers' and 'Writers'",
+        Communications of the ACM, 1971 (via [3])
+    [3] http://en.wikipedia.org/wiki/Readers-writers_problem
+    """
+
+    def __init__(self):
+        """
+        A lock giving an even higher priority to the writer in certain
+        cases (see [2] for a discussion).
+        """
+        self.__read_switch = _LightSwitch()
+        self.__write_switch = _LightSwitch()
+        self.__no_readers = threading.Lock()
+        self.__no_writers = threading.Lock()
+        self.__readers_queue = threading.Lock()
+
+    def reader_acquire(self):
+        self.__readers_queue.acquire()
+        self.__no_readers.acquire()
+        self.__read_switch.acquire(self.__no_writers)
+        self.__no_readers.release()
+        self.__readers_queue.release()
+
+    def reader_release(self):
+        self.__read_switch.release(self.__no_writers)
+
+    def writer_acquire(self):
+        self.__write_switch.acquire(self.__no_readers)
+        self.__no_writers.acquire()
+
+    def writer_release(self):
+        self.__no_writers.release()
+        self.__write_switch.release(self.__no_readers)
+
+
+class _LightSwitch:
+    """An auxiliary "light switch"-like object. The first thread turns on the
+    "switch", the last one turns it off (see [1, sec. 4.2.2] for details)."""
+    def __init__(self):
+        self.__counter = 0
+        self.__mutex = threading.Lock()
+
+    def acquire(self, lock):
+        self.__mutex.acquire()
+        self.__counter += 1
+        if self.__counter == 1:
+            lock.acquire()
+        self.__mutex.release()
+
+    def release(self, lock):
+        self.__mutex.acquire()
+        self.__counter -= 1
+        if self.__counter == 0:
+            lock.release()
+        self.__mutex.release()
diff --git a/third_party/python/ecdsa/ecdsa/_version.py b/third_party/python/ecdsa/ecdsa/_version.py
new file mode 100644
index 0000000000..038d62af2c
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/_version.py
@@ -0,0 +1,21 @@
+
+# This file was generated by 'versioneer.py' (0.17) from
+# revision-control system data, or from the parent directory name of an
+# unpacked source archive. Distribution tarballs contain a pre-generated copy
+# of this file.
+
+import json
+
+version_json = '''
+{
+ "date": "2020-01-02T17:05:04+0100",
+ "dirty": false,
+ "error": null,
+ "full-revisionid": "93b04ba3ddb7c2716e07761393a179c061718c34",
+ "version": "0.15"
+}
+'''  # END VERSION_JSON
+
+
+def get_versions():
+    return json.loads(version_json)
diff --git a/third_party/python/ecdsa/ecdsa/curves.py b/third_party/python/ecdsa/ecdsa/curves.py
new file mode 100644
index 0000000000..173a2cda88
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/curves.py
@@ -0,0 +1,128 @@
+from __future__ import division
+
+from . import der, ecdsa
+from .util import orderlen
+
+
+# orderlen was defined in this module previously, so keep it in __all__,
+# will need to mark it as deprecated later
+__all__ = ["UnknownCurveError", "orderlen", "Curve", "NIST192p",
+           "NIST224p", "NIST256p", "NIST384p", "NIST521p", "curves",
+           "find_curve", "SECP256k1", "BRAINPOOLP160r1", "BRAINPOOLP192r1",
+           "BRAINPOOLP224r1", "BRAINPOOLP256r1", "BRAINPOOLP320r1",
+           "BRAINPOOLP384r1", "BRAINPOOLP512r1"]
+
+
+class UnknownCurveError(Exception):
+    pass
+
+
+class Curve:
+    def __init__(self, name, curve, generator, oid, openssl_name=None):
+        self.name = name
+        self.openssl_name = openssl_name  # maybe None
+        self.curve = curve
+        self.generator = generator
+        self.order = generator.order()
+        self.baselen = orderlen(self.order)
+        self.verifying_key_length = 2*self.baselen
+        self.signature_length = 2*self.baselen
+        self.oid = oid
+        self.encoded_oid = der.encode_oid(*oid)
+
+    def __repr__(self):
+        return self.name
+
+
+# the NIST curves
+NIST192p = Curve("NIST192p", ecdsa.curve_192,
+                 ecdsa.generator_192,
+                 (1, 2, 840, 10045, 3, 1, 1), "prime192v1")
+
+
+NIST224p = Curve("NIST224p", ecdsa.curve_224,
+                 ecdsa.generator_224,
+                 (1, 3, 132, 0, 33), "secp224r1")
+
+
+NIST256p = Curve("NIST256p", ecdsa.curve_256,
+                 ecdsa.generator_256,
+                 (1, 2, 840, 10045, 3, 1, 7), "prime256v1")
+
+
+NIST384p = Curve("NIST384p", ecdsa.curve_384,
+                 ecdsa.generator_384,
+                 (1, 3, 132, 0, 34), "secp384r1")
+
+
+NIST521p = Curve("NIST521p", ecdsa.curve_521,
+                 ecdsa.generator_521,
+                 (1, 3, 132, 0, 35), "secp521r1")
+
+
+SECP256k1 = Curve("SECP256k1", ecdsa.curve_secp256k1,
+                  ecdsa.generator_secp256k1,
+                  (1, 3, 132, 0, 10), "secp256k1")
+
+
+BRAINPOOLP160r1 = Curve("BRAINPOOLP160r1",
+                        ecdsa.curve_brainpoolp160r1,
+                        ecdsa.generator_brainpoolp160r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 1),
+                        "brainpoolP160r1")
+
+
+BRAINPOOLP192r1 = Curve("BRAINPOOLP192r1",
+                        ecdsa.curve_brainpoolp192r1,
+                        ecdsa.generator_brainpoolp192r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 3),
+                        "brainpoolP192r1")
+
+
+BRAINPOOLP224r1 = Curve("BRAINPOOLP224r1",
+                        ecdsa.curve_brainpoolp224r1,
+                        ecdsa.generator_brainpoolp224r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 5),
+                        "brainpoolP224r1")
+
+
+BRAINPOOLP256r1 = Curve("BRAINPOOLP256r1",
+                        ecdsa.curve_brainpoolp256r1,
+                        ecdsa.generator_brainpoolp256r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 7),
+                        "brainpoolP256r1")
+
+
+BRAINPOOLP320r1 = Curve("BRAINPOOLP320r1",
+                        ecdsa.curve_brainpoolp320r1,
+                        ecdsa.generator_brainpoolp320r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 9),
+                        "brainpoolP320r1")
+
+
+BRAINPOOLP384r1 = Curve("BRAINPOOLP384r1",
+                        ecdsa.curve_brainpoolp384r1,
+                        ecdsa.generator_brainpoolp384r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 11),
+                        "brainpoolP384r1")
+
+
+BRAINPOOLP512r1 = Curve("BRAINPOOLP512r1",
+                        ecdsa.curve_brainpoolp512r1,
+                        ecdsa.generator_brainpoolp512r1,
+                        (1, 3, 36, 3, 3, 2, 8, 1, 1, 13),
+                        "brainpoolP512r1")
+
+
+curves = [NIST192p, NIST224p, NIST256p, NIST384p, NIST521p, SECP256k1,
+          BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1, BRAINPOOLP256r1,
+          BRAINPOOLP320r1, BRAINPOOLP384r1, BRAINPOOLP512r1]
+
+
+def find_curve(oid_curve):
+    for c in curves:
+        if c.oid == oid_curve:
+            return c
+    raise UnknownCurveError("I don't know about the curve with oid %s."
+                            "I only know about these: %s" %
+                            (oid_curve, [c.name for c in curves]))
diff --git a/third_party/python/ecdsa/ecdsa/der.py b/third_party/python/ecdsa/ecdsa/der.py
new file mode 100644
index 0000000000..ad75b37b56
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/der.py
@@ -0,0 +1,384 @@
+from __future__ import division
+
+import binascii
+import base64
+import warnings
+from itertools import chain
+from six import int2byte, b, text_type
+from ._compat import str_idx_as_int
+
+
+class UnexpectedDER(Exception):
+    pass
+
+
+def encode_constructed(tag, value):
+    return int2byte(0xa0+tag) + encode_length(len(value)) + value
+
+
+def encode_integer(r):
+    assert r >= 0  # can't support negative numbers yet
+    h = ("%x" % r).encode()
+    if len(h) % 2:
+        h = b("0") + h
+    s = binascii.unhexlify(h)
+    num = str_idx_as_int(s, 0)
+    if num <= 0x7f:
+        return b("\x02") + encode_length(len(s)) + s
+    else:
+        # DER integers are two's complement, so if the first byte is
+        # 0x80-0xff then we need an extra 0x00 byte to prevent it from
+        # looking negative.
+        return b("\x02") + encode_length(len(s)+1) + b("\x00") + s
+
+
+# sentry object to check if an argument was specified (used to detect
+# deprecated calling convention)
+_sentry = object()
+
+
+def encode_bitstring(s, unused=_sentry):
+    """
+    Encode a binary string as a BIT STRING using :term:`DER` encoding.
+
+    Note, because there is no native Python object that can encode an actual
+    bit string, this function only accepts byte strings as the `s` argument.
+    The byte string is the actual bit string that will be encoded, padded
+    on the right (least significant bits, looking from big endian perspective)
+    to the first full byte. If the bit string has a bit length that is multiple
+    of 8, then the padding should not be included. For correct DER encoding
+    the padding bits MUST be set to 0.
+
+    Number of bits of padding need to be provided as the `unused` parameter.
+    In case they are specified as None, it means the number of unused bits
+    is already encoded in the string as the first byte.
+
+    The deprecated call convention specifies just the `s` parameters and
+    encodes the number of unused bits as first parameter (same convention
+    as with None).
+
+    Empty string must be encoded with `unused` specified as 0.
+
+    Future version of python-ecdsa will make specifying the `unused` argument
+    mandatory.
+
+    :param s: bytes to encode
+    :type s: bytes like object
+    :param unused: number of bits at the end of `s` that are unused, must be
+        between 0 and 7 (inclusive)
+    :type unused: int or None
+
+    :raises ValueError: when `unused` is too large or too small
+
+    :return: `s` encoded using DER
+    :rtype: bytes
+    """
+    encoded_unused = b''
+    len_extra = 0
+    if unused is _sentry:
+        warnings.warn("Legacy call convention used, unused= needs to be "
+                      "specified",
+                      DeprecationWarning)
+    elif unused is not None:
+        if not 0 <= unused <= 7:
+            raise ValueError("unused must be integer between 0 and 7")
+        if unused:
+            if not s:
+                raise ValueError("unused is non-zero but s is empty")
+            last = str_idx_as_int(s, -1)
+            if last & (2 ** unused - 1):
+                raise ValueError("unused bits must be zeros in DER")
+        encoded_unused = int2byte(unused)
+        len_extra = 1
+    return b("\x03") + encode_length(len(s) + len_extra) + encoded_unused + s
+
+
+def encode_octet_string(s):
+    return b("\x04") + encode_length(len(s)) + s
+
+
+def encode_oid(first, second, *pieces):
+    assert 0 <= first < 2 and 0 <= second <= 39 or first == 2 and 0 <= second
+    body = b''.join(chain([encode_number(40*first+second)],
+                          (encode_number(p) for p in pieces)))
+    return b'\x06' + encode_length(len(body)) + body
+
+
+def encode_sequence(*encoded_pieces):
+    total_len = sum([len(p) for p in encoded_pieces])
+    return b('\x30') + encode_length(total_len) + b('').join(encoded_pieces)
+
+
+def encode_number(n):
+    b128_digits = []
+    while n:
+        b128_digits.insert(0, (n & 0x7f) | 0x80)
+        n = n >> 7
+    if not b128_digits:
+        b128_digits.append(0)
+    b128_digits[-1] &= 0x7f
+    return b('').join([int2byte(d) for d in b128_digits])
+
+
+def remove_constructed(string):
+    s0 = str_idx_as_int(string, 0)
+    if (s0 & 0xe0) != 0xa0:
+        raise UnexpectedDER("wanted type 'constructed tag' (0xa0-0xbf), "
+                            "got 0x%02x" % s0)
+    tag = s0 & 0x1f
+    length, llen = read_length(string[1:])
+    body = string[1+llen:1+llen+length]
+    rest = string[1+llen+length:]
+    return tag, body, rest
+
+
+def remove_sequence(string):
+    if not string:
+        raise UnexpectedDER("Empty string does not encode a sequence")
+    if string[:1] != b"\x30":
+        n = str_idx_as_int(string, 0)
+        raise UnexpectedDER("wanted type 'sequence' (0x30), got 0x%02x" % n)
+    length, lengthlength = read_length(string[1:])
+    if length > len(string) - 1 - lengthlength:
+        raise UnexpectedDER("Length longer than the provided buffer")
+    endseq = 1+lengthlength+length
+    return string[1+lengthlength:endseq], string[endseq:]
+
+
+def remove_octet_string(string):
+    if string[:1] != b"\x04":
+        n = str_idx_as_int(string, 0)
+        raise UnexpectedDER("wanted type 'octetstring' (0x04), got 0x%02x" % n)
+    length, llen = read_length(string[1:])
+    body = string[1+llen:1+llen+length]
+    rest = string[1+llen+length:]
+    return body, rest
+
+
+def remove_object(string):
+    if not string:
+        raise UnexpectedDER(
+            "Empty string does not encode an object identifier")
+    if string[:1] != b"\x06":
+        n = str_idx_as_int(string, 0)
+        raise UnexpectedDER("wanted type 'object' (0x06), got 0x%02x" % n)
+    length, lengthlength = read_length(string[1:])
+    body = string[1+lengthlength:1+lengthlength+length]
+    rest = string[1+lengthlength+length:]
+    if not body:
+        raise UnexpectedDER("Empty object identifier")
+    if len(body) != length:
+        raise UnexpectedDER(
+            "Length of object identifier longer than the provided buffer")
+    numbers = []
+    while body:
+        n, ll = read_number(body)
+        numbers.append(n)
+        body = body[ll:]
+    n0 = numbers.pop(0)
+    if n0 < 80:
+        first = n0 // 40
+    else:
+        first = 2
+    second = n0 - (40 * first)
+    numbers.insert(0, first)
+    numbers.insert(1, second)
+    return tuple(numbers), rest
+
+
+def remove_integer(string):
+    if not string:
+        raise UnexpectedDER("Empty string is an invalid encoding of an "
+                            "integer")
+    if string[:1] != b"\x02":
+        n = str_idx_as_int(string, 0)
+        raise UnexpectedDER("wanted type 'integer' (0x02), got 0x%02x" % n)
+    length, llen = read_length(string[1:])
+    if length > len(string) - 1 - llen:
+        raise UnexpectedDER("Length longer than provided buffer")
+    if length == 0:
+        raise UnexpectedDER("0-byte long encoding of integer")
+    numberbytes = string[1+llen:1+llen+length]
+    rest = string[1+llen+length:]
+    msb = str_idx_as_int(numberbytes, 0)
+    if not msb < 0x80:
+        raise UnexpectedDER("Negative integers are not supported")
+    # check if the encoding is the minimal one (DER requirement)
+    if length > 1 and not msb:
+        # leading zero byte is allowed if the integer would have been
+        # considered a negative number otherwise
+        smsb = str_idx_as_int(numberbytes, 1)
+        if smsb < 0x80:
+            raise UnexpectedDER("Invalid encoding of integer, unnecessary "
+                                "zero padding bytes")
+    return int(binascii.hexlify(numberbytes), 16), rest
+
+
+def read_number(string):
+    number = 0
+    llen = 0
+    if str_idx_as_int(string, 0) == 0x80:
+        raise UnexpectedDER("Non minimal encoding of OID subidentifier")
+    # base-128 big endian, with most significant bit set in all but the last
+    # byte
+    while True:
+        if llen >= len(string):
+            raise UnexpectedDER("ran out of length bytes")
+        number = number << 7
+        d = str_idx_as_int(string, llen)
+        number += (d & 0x7f)
+        llen += 1
+        if not d & 0x80:
+            break
+    return number, llen
+
+
+def encode_length(l):
+    assert l >= 0
+    if l < 0x80:
+        return int2byte(l)
+    s = ("%x" % l).encode()
+    if len(s) % 2:
+        s = b("0") + s
+    s = binascii.unhexlify(s)
+    llen = len(s)
+    return int2byte(0x80 | llen) + s
+
+
+def read_length(string):
+    if not string:
+        raise UnexpectedDER("Empty string can't encode valid length value")
+    num = str_idx_as_int(string, 0)
+    if not (num & 0x80):
+        # short form
+        return (num & 0x7f), 1
+    # else long-form: b0&0x7f is number of additional base256 length bytes,
+    # big-endian
+    llen = num & 0x7f
+    if not llen:
+        raise UnexpectedDER("Invalid length encoding, length of length is 0")
+    if llen > len(string)-1:
+        raise UnexpectedDER("Length of length longer than provided buffer")
+    # verify that the encoding is minimal possible (DER requirement)
+    msb = str_idx_as_int(string, 1)
+    if not msb or llen == 1 and msb < 0x80:
+        raise UnexpectedDER("Not minimal encoding of length")
+    return int(binascii.hexlify(string[1:1+llen]), 16), 1+llen
+
+
+def remove_bitstring(string, expect_unused=_sentry):
+    """
+    Remove a BIT STRING object from `string` following :term:`DER`.
+
+    The `expect_unused` can be used to specify if the bit string should
+    have the amount of unused bits decoded or not. If it's an integer, any
+    read BIT STRING that has number of unused bits different from specified
+    value will cause UnexpectedDER exception to be raised (this is especially
+    useful when decoding BIT STRINGS that have DER encoded object in them;
+    DER encoding is byte oriented, so the unused bits will always equal 0).
+
+    If the `expect_unused` is specified as None, the first element returned
+    will be a tuple, with the first value being the extracted bit string
+    while the second value will be the decoded number of unused bits.
+
+    If the `expect_unused` is unspecified, the decoding of byte with
+    number of unused bits will not be attempted and the bit string will be
+    returned as-is, the callee will be required to decode it and verify its
+    correctness.
+
+    Future version of python will require the `expected_unused` parameter
+    to be specified.
+
+    :param string: string of bytes to extract the BIT STRING from
+    :type string: bytes like object
+    :param expect_unused: number of bits that should be unused in the BIT
+        STRING, or None, to return it to caller
+    :type expect_unused: int or None
+
+    :raises UnexpectedDER: when the encoding does not follow DER.
+
+    :return: a tuple with first element being the extracted bit string and
+        the second being the remaining bytes in the string (if any); if the
+        `expect_unused` is specified as None, the first element of the returned
+        tuple will be a tuple itself, with first element being the bit string
+        as bytes and the second element being the number of unused bits at the
+        end of the byte array as an integer
+    :rtype: tuple
+    """
+    if not string:
+        raise UnexpectedDER("Empty string does not encode a bitstring")
+    if expect_unused is _sentry:
+        warnings.warn("Legacy call convention used, expect_unused= needs to be"
+                      " specified",
+                      DeprecationWarning)
+    num = str_idx_as_int(string, 0)
+    if string[:1] != b"\x03":
+        raise UnexpectedDER("wanted bitstring (0x03), got 0x%02x" % num)
+    length, llen = read_length(string[1:])
+    if not length:
+        raise UnexpectedDER("Invalid length of bit string, can't be 0")
+    body = string[1+llen:1+llen+length]
+    rest = string[1+llen+length:]
+    if expect_unused is not _sentry:
+        unused = str_idx_as_int(body, 0)
+        if not 0 <= unused <= 7:
+            raise UnexpectedDER("Invalid encoding of unused bits")
+        if expect_unused is not None and expect_unused != unused:
+            raise UnexpectedDER("Unexpected number of unused bits")
+        body = body[1:]
+        if unused:
+            if not body:
+                raise UnexpectedDER("Invalid encoding of empty bit string")
+            last = str_idx_as_int(body, -1)
+            # verify that all the unused bits are set to zero (DER requirement)
+            if last & (2 ** unused - 1):
+                raise UnexpectedDER("Non zero padding bits in bit string")
+        if expect_unused is None:
+            body = (body, unused)
+    return body, rest
+
+# SEQUENCE([1, STRING(secexp), cont[0], OBJECT(curvename), cont[1], BINTSTRING)
+
+
+# signatures: (from RFC3279)
+#  ansi-X9-62  OBJECT IDENTIFIER ::= {
+#       iso(1) member-body(2) us(840) 10045 }
+#
+#  id-ecSigType OBJECT IDENTIFIER  ::=  {
+#       ansi-X9-62 signatures(4) }
+#  ecdsa-with-SHA1  OBJECT IDENTIFIER ::= {
+#       id-ecSigType 1 }
+## so 1,2,840,10045,4,1
+## so 0x42, .. ..
+
+#  Ecdsa-Sig-Value  ::=  SEQUENCE  {
+#       r     INTEGER,
+#       s     INTEGER  }
+
+# id-public-key-type OBJECT IDENTIFIER  ::= { ansi-X9.62 2 }
+#
+# id-ecPublicKey OBJECT IDENTIFIER ::= { id-publicKeyType 1 }
+
+# I think the secp224r1 identifier is (t=06,l=05,v=2b81040021)
+#  secp224r1 OBJECT IDENTIFIER ::= {
+#  iso(1) identified-organization(3) certicom(132) curve(0) 33 }
+# and the secp384r1 is (t=06,l=05,v=2b81040022)
+#  secp384r1 OBJECT IDENTIFIER ::= {
+#  iso(1) identified-organization(3) certicom(132) curve(0) 34 }
+
+def unpem(pem):
+    if isinstance(pem, text_type):
+        pem = pem.encode()
+
+    d = b("").join([l.strip() for l in pem.split(b("\n"))
+                    if l and not l.startswith(b("-----"))])
+    return base64.b64decode(d)
+
+
+def topem(der, name):
+    b64 = base64.b64encode(der)
+    lines = [("-----BEGIN %s-----\n" % name).encode()]
+    lines.extend([b64[start:start+64]+b("\n")
+                  for start in range(0, len(b64), 64)])
+    lines.append(("-----END %s-----\n" % name).encode())
+    return b("").join(lines)
diff --git a/third_party/python/ecdsa/ecdsa/ecdh.py b/third_party/python/ecdsa/ecdsa/ecdh.py
new file mode 100644
index 0000000000..88848f5503
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/ecdh.py
@@ -0,0 +1,306 @@
+"""
+Class for performing Elliptic-curve Diffie-Hellman (ECDH) operations.
+"""
+
+from .util import number_to_string
+from .ellipticcurve import INFINITY
+from .keys import SigningKey, VerifyingKey
+
+
+__all__ = ["ECDH", "NoKeyError", "NoCurveError", "InvalidCurveError",
+           "InvalidSharedSecretError"]
+
+
+class NoKeyError(Exception):
+    """ECDH. Key not found but it is needed for operation."""
+
+    pass
+
+
+class NoCurveError(Exception):
+    """ECDH. Curve not set but it is needed for operation."""
+
+    pass
+
+
+class InvalidCurveError(Exception):
+    """ECDH. Raised in case the public and private keys use different curves."""
+
+    pass
+
+
+class InvalidSharedSecretError(Exception):
+    """ECDH. Raised in case the shared secret we obtained is an INFINITY."""
+
+    pass
+
+
+class ECDH(object):
+    """
+    Elliptic-curve Diffie-Hellman (ECDH). A key agreement protocol.
+
+    Allows two parties, each having an elliptic-curve public-private key
+    pair, to establish a shared secret over an insecure channel
+    """""
+
+    def __init__(self, curve=None, private_key=None, public_key=None):
+        """
+        ECDH init.
+
+        Call can be initialised without parameters, then the first operation
+        (loading either key) will set the used curve.
+        All parameters must be ultimately set before shared secret
+        calculation will be allowed.
+
+        :param curve: curve for operations
+        :type curve: Curve
+        :param private_key: `my` private key for ECDH
+        :type private_key: SigningKey
+        :param public_key:  `their` public key for ECDH
+        :type public_key: VerifyingKey
+       """
+        self.curve = curve
+        self.private_key = None
+        self.public_key = None
+        if private_key:
+            self.load_private_key(private_key)
+        if public_key:
+            self.load_received_public_key(public_key)
+
+    def _get_shared_secret(self, remote_public_key):
+        if not self.private_key:
+            raise NoKeyError(
+                "Private key needs to be set to create shared secret")
+        if not self.public_key:
+            raise NoKeyError(
+                "Public key needs to be set to create shared secret")
+        if not (self.private_key.curve == self.curve == remote_public_key.curve):
+            raise InvalidCurveError(
+                "Curves for public key and private key is not equal.")
+
+        # shared secret = PUBKEYtheirs * PRIVATEKEYours
+        result = remote_public_key.pubkey.point * self.private_key.privkey.secret_multiplier
+        if result == INFINITY:
+            raise InvalidSharedSecretError(
+                "Invalid shared secret (INFINITY).")
+
+        return result.x()
+
+    def set_curve(self, key_curve):
+        """
+        Set the working curve for ecdh operations.
+
+        :param key_curve: curve from `curves` module
+        :type key_curve: Curve
+        """
+        self.curve = key_curve
+
+    def generate_private_key(self):
+        """
+        Generate local private key for ecdh operation with curve that was set.
+
+        :raises NoCurveError: Curve must be set before key generation.
+
+        :return: public (verifying) key from this private key.
+        :rtype: VerifyingKey object
+        """
+        if not self.curve:
+            raise NoCurveError("Curve must be set prior to key generation.")
+        return self.load_private_key(SigningKey.generate(curve=self.curve))
+
+    def load_private_key(self, private_key):
+        """
+        Load private key from SigningKey (keys.py) object.
+
+        Needs to have the same curve as was set with set_curve method.
+        If curve is not set - it sets from this SigningKey
+
+        :param private_key: Initialised SigningKey class
+        :type private_key: SigningKey
+
+        :raises InvalidCurveError: private_key curve not the same as self.curve
+
+        :return: public (verifying) key from this private key.
+        :rtype: VerifyingKey object
+        """
+        if not self.curve:
+            self.curve = private_key.curve
+        if self.curve != private_key.curve:
+            raise InvalidCurveError("Curve mismatch.")
+        self.private_key = private_key
+        return self.private_key.get_verifying_key()
+
+    def load_private_key_bytes(self, private_key):
+        """
+        Load private key from byte string.
+
+        Uses current curve and checks if the provided key matches
+        the curve of ECDH key agreement.
+        Key loads via from_string method of SigningKey class
+
+        :param private_key: private key in bytes string format
+        :type private_key: :term:`bytes-like object`
+
+        :raises NoCurveError: Curve must be set before loading.
+
+        :return: public (verifying) key from this private key.
+        :rtype: VerifyingKey object
+        """
+        if not self.curve:
+            raise NoCurveError("Curve must be set prior to key load.")
+        return self.load_private_key(
+            SigningKey.from_string(private_key, curve=self.curve))
+
+    def load_private_key_der(self, private_key_der):
+        """
+        Load private key from DER byte string.
+
+        Compares the curve of the DER-encoded key with the ECDH set curve,
+        uses the former if unset.
+
+        Note, the only DER format supported is the RFC5915
+        Look at keys.py:SigningKey.from_der()
+
+        :param private_key_der: string with the DER encoding of private ECDSA key
+        :type private_key_der: string
+
+        :raises InvalidCurveError: private_key curve not the same as self.curve
+
+        :return: public (verifying) key from this private key.
+        :rtype: VerifyingKey object
+        """
+        return self.load_private_key(SigningKey.from_der(private_key_der))
+
+    def load_private_key_pem(self, private_key_pem):
+        """
+        Load private key from PEM string.
+
+        Compares the curve of the DER-encoded key with the ECDH set curve,
+        uses the former if unset.
+
+        Note, the only PEM format supported is the RFC5915
+        Look at keys.py:SigningKey.from_pem()
+        it needs to have `EC PRIVATE KEY` section
+
+        :param private_key_pem: string with PEM-encoded private ECDSA key
+        :type private_key_pem: string
+
+        :raises InvalidCurveError: private_key curve not the same as self.curve
+
+        :return: public (verifying) key from this private key.
+        :rtype: VerifyingKey object
+        """
+        return self.load_private_key(SigningKey.from_pem(private_key_pem))
+
+    def get_public_key(self):
+        """
+        Provides a public key that matches the local private key.
+
+        Needs to be sent to the remote party.
+
+        :return: public (verifying) key from local private key.
+        :rtype: VerifyingKey object
+       """
+        return self.private_key.get_verifying_key()
+
+    def load_received_public_key(self, public_key):
+        """
+        Load public key from VerifyingKey (keys.py) object.
+
+        Needs to have the same curve as set as current for ecdh operation.
+        If curve is not set - it sets it from VerifyingKey.
+
+        :param public_key: Initialised VerifyingKey class
+        :type public_key: VerifyingKey
+
+        :raises InvalidCurveError: public_key curve not the same as self.curve
+        """
+        if not self.curve:
+            self.curve = public_key.curve
+        if self.curve != public_key.curve:
+            raise InvalidCurveError("Curve mismatch.")
+        self.public_key = public_key
+
+    def load_received_public_key_bytes(self, public_key_str):
+        """
+        Load public key from byte string.
+
+        Uses current curve and checks if key length corresponds to
+        the current curve.
+        Key loads via from_string method of VerifyingKey class
+
+        :param public_key_str: public key in bytes string format
+        :type public_key_str: :term:`bytes-like object`
+        """
+        return self.load_received_public_key(
+            VerifyingKey.from_string(public_key_str, self.curve))
+
+    def load_received_public_key_der(self, public_key_der):
+        """
+        Load public key from DER byte string.
+
+        Compares the curve of the DER-encoded key with the ECDH set curve,
+        uses the former if unset.
+
+        Note, the only DER format supported is the RFC5912
+        Look at keys.py:VerifyingKey.from_der()
+
+        :param public_key_der: string with the DER encoding of public ECDSA key
+        :type public_key_der: string
+
+        :raises InvalidCurveError: public_key curve not the same as self.curve
+        """
+        return self.load_received_public_key(VerifyingKey.from_der(public_key_der))
+
+    def load_received_public_key_pem(self, public_key_pem):
+        """
+        Load public key from PEM string.
+
+        Compares the curve of the PEM-encoded key with the ECDH set curve,
+        uses the former if unset.
+
+        Note, the only PEM format supported is the RFC5912
+        Look at keys.py:VerifyingKey.from_pem()
+
+        :param public_key_pem: string with PEM-encoded public ECDSA key
+        :type public_key_pem: string
+
+        :raises InvalidCurveError: public_key curve not the same as self.curve
+        """
+        return self.load_received_public_key(VerifyingKey.from_pem(public_key_pem))
+
+    def generate_sharedsecret_bytes(self):
+        """
+        Generate shared secret from local private key and remote public key.
+
+        The objects needs to have both private key and received public key
+        before generation is allowed.
+
+        :raises InvalidCurveError: public_key curve not the same as self.curve
+        :raises NoKeyError: public_key or private_key is not set
+
+        :return: shared secret
+        :rtype: byte string
+        """
+        return number_to_string(
+            self.generate_sharedsecret(),
+            self.private_key.curve.order)
+
+    def generate_sharedsecret(self):
+        """
+        Generate shared secret from local private key and remote public key.
+
+        The objects needs to have both private key and received public key
+        before generation is allowed.
+
+        It's the same for local and remote party.
+        shared secret(local private key, remote public key ) ==
+                shared secret (local public key, remote private key)
+
+        :raises InvalidCurveError: public_key curve not the same as self.curve
+        :raises NoKeyError: public_key or private_key is not set
+
+        :return: shared secret
+        :rtype: int
+        """
+        return self._get_shared_secret(self.public_key)
diff --git a/third_party/python/ecdsa/ecdsa/ecdsa.py b/third_party/python/ecdsa/ecdsa/ecdsa.py
new file mode 100644
index 0000000000..4e9bab0898
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/ecdsa.py
@@ -0,0 +1,446 @@
+#! /usr/bin/env python
+
+"""
+Implementation of Elliptic-Curve Digital Signatures.
+
+Classes and methods for elliptic-curve signatures:
+private keys, public keys, signatures,
+NIST prime-modulus curves with modulus lengths of
+192, 224, 256, 384, and 521 bits.
+
+Example:
+
+  # (In real-life applications, you would probably want to
+  # protect against defects in SystemRandom.)
+  from random import SystemRandom
+  randrange = SystemRandom().randrange
+
+  # Generate a public/private key pair using the NIST Curve P-192:
+
+  g = generator_192
+  n = g.order()
+  secret = randrange( 1, n )
+  pubkey = Public_key( g, g * secret )
+  privkey = Private_key( pubkey, secret )
+
+  # Signing a hash value:
+
+  hash = randrange( 1, n )
+  signature = privkey.sign( hash, randrange( 1, n ) )
+
+  # Verifying a signature for a hash value:
+
+  if pubkey.verifies( hash, signature ):
+    print_("Demo verification succeeded.")
+  else:
+    print_("*** Demo verification failed.")
+
+  # Verification fails if the hash value is modified:
+
+  if pubkey.verifies( hash-1, signature ):
+    print_("**** Demo verification failed to reject tampered hash.")
+  else:
+    print_("Demo verification correctly rejected tampered hash.")
+
+Version of 2009.05.16.
+
+Revision history:
+      2005.12.31 - Initial version.
+      2008.11.25 - Substantial revisions introducing new classes.
+      2009.05.16 - Warn against using random.randrange in real applications.
+      2009.05.17 - Use random.SystemRandom by default.
+
+Written in 2005 by Peter Pearson and placed in the public domain.
+"""
+
+from six import int2byte, b
+from . import ellipticcurve
+from . import numbertheory
+from .util import bit_length
+
+
+class RSZeroError(RuntimeError):
+    pass
+
+
+class InvalidPointError(RuntimeError):
+    pass
+
+
+class Signature(object):
+  """ECDSA signature.
+  """
+  def __init__(self, r, s):
+    self.r = r
+    self.s = s
+
+  def recover_public_keys(self, hash, generator):
+    """Returns two public keys for which the signature is valid
+    hash is signed hash
+    generator is the used generator of the signature
+    """
+    curve = generator.curve()
+    n = generator.order()
+    r = self.r
+    s = self.s
+    e = hash
+    x = r
+
+    # Compute the curve point with x as x-coordinate
+    alpha = (pow(x, 3, curve.p()) + (curve.a() * x) + curve.b()) % curve.p()
+    beta = numbertheory.square_root_mod_prime(alpha, curve.p())
+    y = beta if beta % 2 == 0 else curve.p() - beta
+
+    # Compute the public key
+    R1 = ellipticcurve.PointJacobi(curve, x, y, 1, n)
+    Q1 = numbertheory.inverse_mod(r, n) * (s * R1 + (-e % n) * generator)
+    Pk1 = Public_key(generator, Q1)
+
+    # And the second solution
+    R2 = ellipticcurve.PointJacobi(curve, x, -y, 1, n)
+    Q2 = numbertheory.inverse_mod(r, n) * (s * R2 + (-e % n) * generator)
+    Pk2 = Public_key(generator, Q2)
+
+    return [Pk1, Pk2]
+
+
+class Public_key(object):
+  """Public key for ECDSA.
+  """
+
+  def __init__(self, generator, point, verify=True):
+    """
+    Low level ECDSA public key object.
+
+    :param generator: the Point that generates the group (the base point)
+    :param point: the Point that defines the public key
+    :param bool verify: if True check if point is valid point on curve
+
+    :raises InvalidPointError: if the point parameters are invalid or
+        point does not lie on the curve
+    """
+
+    self.curve = generator.curve()
+    self.generator = generator
+    self.point = point
+    n = generator.order()
+    p = self.curve.p()
+    if not (0 <= point.x() < p) or not (0 <= point.y() < p):
+      raise InvalidPointError("The public point has x or y out of range.")
+    if verify and not self.curve.contains_point(point.x(), point.y()):
+        raise InvalidPointError("Point does not lie on the curve")
+    if not n:
+      raise InvalidPointError("Generator point must have order.")
+    # for curve parameters with base point with cofactor 1, all points
+    # that are on the curve are scalar multiples of the base point, so
+    # verifying that is not necessary. See Section 3.2.2.1 of SEC 1 v2
+    if verify and self.curve.cofactor() != 1 and \
+            not n * point == ellipticcurve.INFINITY:
+      raise InvalidPointError("Generator point order is bad.")
+
+  def __eq__(self, other):
+    if isinstance(other, Public_key):
+      """Return True if the points are identical, False otherwise."""
+      return self.curve == other.curve \
+          and self.point == other.point
+    return NotImplemented
+
+  def verifies(self, hash, signature):
+    """Verify that signature is a valid signature of hash.
+    Return True if the signature is valid.
+    """
+
+    # From X9.62 J.3.1.
+
+    G = self.generator
+    n = G.order()
+    r = signature.r
+    s = signature.s
+    if r < 1 or r > n - 1:
+      return False
+    if s < 1 or s > n - 1:
+      return False
+    c = numbertheory.inverse_mod(s, n)
+    u1 = (hash * c) % n
+    u2 = (r * c) % n
+    if hasattr(G, "mul_add"):
+        xy = G.mul_add(u1, self.point, u2)
+    else:
+        xy = u1 * G + u2 * self.point
+    v = xy.x() % n
+    return v == r
+
+
+class Private_key(object):
+  """Private key for ECDSA.
+  """
+
+  def __init__(self, public_key, secret_multiplier):
+    """public_key is of class Public_key;
+    secret_multiplier is a large integer.
+    """
+
+    self.public_key = public_key
+    self.secret_multiplier = secret_multiplier
+
+  def __eq__(self, other):
+    if isinstance(other, Private_key):
+      """Return True if the points are identical, False otherwise."""
+      return self.public_key == other.public_key \
+          and self.secret_multiplier == other.secret_multiplier
+    return NotImplemented
+
+  def sign(self, hash, random_k):
+    """Return a signature for the provided hash, using the provided
+    random nonce.  It is absolutely vital that random_k be an unpredictable
+    number in the range [1, self.public_key.point.order()-1].  If
+    an attacker can guess random_k, he can compute our private key from a
+    single signature.  Also, if an attacker knows a few high-order
+    bits (or a few low-order bits) of random_k, he can compute our private
+    key from many signatures.  The generation of nonces with adequate
+    cryptographic strength is very difficult and far beyond the scope
+    of this comment.
+
+    May raise RuntimeError, in which case retrying with a new
+    random value k is in order.
+    """
+
+    G = self.public_key.generator
+    n = G.order()
+    k = random_k % n
+    # Fix the bit-length of the random nonce,
+    # so that it doesn't leak via timing.
+    # This does not change that ks = k mod n
+    ks = k + n
+    kt = ks + n
+    if bit_length(ks) == bit_length(n):
+      p1 = kt * G
+    else:
+      p1 = ks * G
+    r = p1.x() % n
+    if r == 0:
+      raise RSZeroError("amazingly unlucky random number r")
+    s = (numbertheory.inverse_mod(k, n)
+         * (hash + (self.secret_multiplier * r) % n)) % n
+    if s == 0:
+      raise RSZeroError("amazingly unlucky random number s")
+    return Signature(r, s)
+
+
+def int_to_string(x):
+  """Convert integer x into a string of bytes, as per X9.62."""
+  assert x >= 0
+  if x == 0:
+    return b('\0')
+  result = []
+  while x:
+    ordinal = x & 0xFF
+    result.append(int2byte(ordinal))
+    x >>= 8
+
+  result.reverse()
+  return b('').join(result)
+
+
+def string_to_int(s):
+  """Convert a string of bytes into an integer, as per X9.62."""
+  result = 0
+  for c in s:
+    if not isinstance(c, int):
+      c = ord(c)
+    result = 256 * result + c
+  return result
+
+
+def digest_integer(m):
+  """Convert an integer into a string of bytes, compute
+     its SHA-1 hash, and convert the result to an integer."""
+  #
+  # I don't expect this function to be used much. I wrote
+  # it in order to be able to duplicate the examples
+  # in ECDSAVS.
+  #
+  from hashlib import sha1
+  return string_to_int(sha1(int_to_string(m)).digest())
+
+
+def point_is_valid(generator, x, y):
+  """Is (x,y) a valid public key based on the specified generator?"""
+
+  # These are the tests specified in X9.62.
+
+  n = generator.order()
+  curve = generator.curve()
+  p = curve.p()
+  if not (0 <= x < p) or not (0 <= y < p):
+    return False
+  if not curve.contains_point(x, y):
+    return False
+  if curve.cofactor() != 1 and \
+      not n * ellipticcurve.PointJacobi(curve, x, y, 1)\
+          == ellipticcurve.INFINITY:
+    return False
+  return True
+
+
+# NIST Curve P-192:
+_p = 6277101735386680763835789423207666416083908700390324961279
+_r = 6277101735386680763835789423176059013767194773182842284081
+# s = 0x3045ae6fc8422f64ed579528d38120eae12196d5L
+# c = 0x3099d2bbbfcb2538542dcd5fb078b6ef5f3d6fe2c745de65L
+_b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
+_Gx = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
+_Gy = 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811
+
+curve_192 = ellipticcurve.CurveFp(_p, -3, _b, 1)
+generator_192 = ellipticcurve.PointJacobi(
+    curve_192, _Gx, _Gy, 1, _r, generator=True)
+
+
+# NIST Curve P-224:
+_p = 26959946667150639794667015087019630673557916260026308143510066298881
+_r = 26959946667150639794667015087019625940457807714424391721682722368061
+# s = 0xbd71344799d5c7fcdc45b59fa3b9ab8f6a948bc5L
+# c = 0x5b056c7e11dd68f40469ee7f3c7a7d74f7d121116506d031218291fbL
+_b = 0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4
+_Gx = 0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21
+_Gy = 0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34
+
+curve_224 = ellipticcurve.CurveFp(_p, -3, _b, 1)
+generator_224 = ellipticcurve.PointJacobi(
+    curve_224, _Gx, _Gy, 1, _r, generator=True)
+
+# NIST Curve P-256:
+_p = 115792089210356248762697446949407573530086143415290314195533631308867097853951
+_r = 115792089210356248762697446949407573529996955224135760342422259061068512044369
+# s = 0xc49d360886e704936a6678e1139d26b7819f7e90L
+# c = 0x7efba1662985be9403cb055c75d4f7e0ce8d84a9c5114abcaf3177680104fa0dL
+_b = 0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b
+_Gx = 0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296
+_Gy = 0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5
+
+curve_256 = ellipticcurve.CurveFp(_p, -3, _b, 1)
+generator_256 = ellipticcurve.PointJacobi(
+    curve_256, _Gx, _Gy, 1, _r, generator=True)
+
+# NIST Curve P-384:
+_p = 39402006196394479212279040100143613805079739270465446667948293404245721771496870329047266088258938001861606973112319
+_r = 39402006196394479212279040100143613805079739270465446667946905279627659399113263569398956308152294913554433653942643
+# s = 0xa335926aa319a27a1d00896a6773a4827acdac73L
+# c = 0x79d1e655f868f02fff48dcdee14151ddb80643c1406d0ca10dfe6fc52009540a495e8042ea5f744f6e184667cc722483L
+_b = 0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef
+_Gx = 0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7
+_Gy = 0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f
+
+curve_384 = ellipticcurve.CurveFp(_p, -3, _b, 1)
+generator_384 = ellipticcurve.PointJacobi(
+    curve_384, _Gx, _Gy, 1, _r, generator=True)
+
+# NIST Curve P-521:
+_p = 6864797660130609714981900799081393217269435300143305409394463459185543183397656052122559640661454554977296311391480858037121987999716643812574028291115057151
+_r = 6864797660130609714981900799081393217269435300143305409394463459185543183397655394245057746333217197532963996371363321113864768612440380340372808892707005449
+# s = 0xd09e8800291cb85396cc6717393284aaa0da64baL
+# c = 0x0b48bfa5f420a34949539d2bdfc264eeeeb077688e44fbf0ad8f6d0edb37bd6b533281000518e19f1b9ffbe0fe9ed8a3c2200b8f875e523868c70c1e5bf55bad637L
+_b = 0x051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00
+_Gx = 0xc6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66
+_Gy = 0x11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650
+
+curve_521 = ellipticcurve.CurveFp(_p, -3, _b, 1)
+generator_521 = ellipticcurve.PointJacobi(
+    curve_521, _Gx, _Gy, 1, _r, generator=True)
+
+# Certicom secp256-k1
+_a = 0x0000000000000000000000000000000000000000000000000000000000000000
+_b = 0x0000000000000000000000000000000000000000000000000000000000000007
+_p = 0xfffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f
+_Gx = 0x79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798
+_Gy = 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8
+_r = 0xfffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141
+
+curve_secp256k1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_secp256k1 = ellipticcurve.PointJacobi(
+    curve_secp256k1, _Gx, _Gy, 1, _r, generator=True)
+
+# Brainpool P-160-r1
+_a = 0x340E7BE2A280EB74E2BE61BADA745D97E8F7C300
+_b = 0x1E589A8595423412134FAA2DBDEC95C8D8675E58
+_p = 0xE95E4A5F737059DC60DFC7AD95B3D8139515620F
+_Gx = 0xBED5AF16EA3F6A4F62938C4631EB5AF7BDBCDBC3
+_Gy = 0x1667CB477A1A8EC338F94741669C976316DA6321
+_q = 0xE95E4A5F737059DC60DF5991D45029409E60FC09
+
+curve_brainpoolp160r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp160r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp160r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-192-r1
+_a = 0x6A91174076B1E0E19C39C031FE8685C1CAE040E5C69A28EF
+_b = 0x469A28EF7C28CCA3DC721D044F4496BCCA7EF4146FBF25C9
+_p = 0xC302F41D932A36CDA7A3463093D18DB78FCE476DE1A86297
+_Gx = 0xC0A0647EAAB6A48753B033C56CB0F0900A2F5C4853375FD6
+_Gy = 0x14B690866ABD5BB88B5F4828C1490002E6773FA2FA299B8F
+_q = 0xC302F41D932A36CDA7A3462F9E9E916B5BE8F1029AC4ACC1
+
+curve_brainpoolp192r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp192r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp192r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-224-r1
+_a = 0x68A5E62CA9CE6C1C299803A6C1530B514E182AD8B0042A59CAD29F43
+_b = 0x2580F63CCFE44138870713B1A92369E33E2135D266DBB372386C400B
+_p = 0xD7C134AA264366862A18302575D1D787B09F075797DA89F57EC8C0FF
+_Gx = 0x0D9029AD2C7E5CF4340823B2A87DC68C9E4CE3174C1E6EFDEE12C07D
+_Gy = 0x58AA56F772C0726F24C6B89E4ECDAC24354B9E99CAA3F6D3761402CD
+_q = 0xD7C134AA264366862A18302575D0FB98D116BC4B6DDEBCA3A5A7939F
+
+curve_brainpoolp224r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp224r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp224r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-256-r1
+_a = 0x7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9
+_b = 0x26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6
+_p = 0xA9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377
+_Gx = 0x8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262
+_Gy = 0x547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997
+_q = 0xA9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7
+
+curve_brainpoolp256r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp256r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp256r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-320-r1
+_a = 0x3EE30B568FBAB0F883CCEBD46D3F3BB8A2A73513F5EB79DA66190EB085FFA9F492F375A97D860EB4
+_b = 0x520883949DFDBC42D3AD198640688A6FE13F41349554B49ACC31DCCD884539816F5EB4AC8FB1F1A6
+_p = 0xD35E472036BC4FB7E13C785ED201E065F98FCFA6F6F40DEF4F92B9EC7893EC28FCD412B1F1B32E27
+_Gx = 0x43BD7E9AFB53D8B85289BCC48EE5BFE6F20137D10A087EB6E7871E2A10A599C710AF8D0D39E20611
+_Gy = 0x14FDD05545EC1CC8AB4093247F77275E0743FFED117182EAA9C77877AAAC6AC7D35245D1692E8EE1
+_q = 0xD35E472036BC4FB7E13C785ED201E065F98FCFA5B68F12A32D482EC7EE8658E98691555B44C59311
+
+curve_brainpoolp320r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp320r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp320r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-384-r1
+_a = 0x7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F90F8AA5814A503AD4EB04A8C7DD22CE2826
+_b = 0x04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62D57CB4390295DBC9943AB78696FA504C11
+_p = 0x8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB71123ACD3A729901D1A71874700133107EC53
+_Gx = 0x1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10E8E826E03436D646AAEF87B2E247D4AF1E
+_Gy = 0x8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129280E4646217791811142820341263C5315
+_q = 0x8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425A7CF3AB6AF6B7FC3103B883202E9046565
+
+curve_brainpoolp384r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp384r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp384r1, _Gx, _Gy, 1, _q, generator=True)
+
+# Brainpool P-512-r1
+_a = 0x7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA
+_b = 0x3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723
+_p = 0xAADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3
+_Gx = 0x81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D0098EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822
+_Gy = 0x7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F8111B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892
+_q = 0xAADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA70330870553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069
+
+curve_brainpoolp512r1 = ellipticcurve.CurveFp(_p, _a, _b, 1)
+generator_brainpoolp512r1 = ellipticcurve.PointJacobi(
+    curve_brainpoolp512r1, _Gx, _Gy, 1, _q, generator=True)
diff --git a/third_party/python/ecdsa/ecdsa/ellipticcurve.py b/third_party/python/ecdsa/ecdsa/ellipticcurve.py
new file mode 100644
index 0000000000..3420454db4
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/ellipticcurve.py
@@ -0,0 +1,780 @@
+#! /usr/bin/env python
+# -*- coding: utf-8 -*-
+#
+# Implementation of elliptic curves, for cryptographic applications.
+#
+# This module doesn't provide any way to choose a random elliptic
+# curve, nor to verify that an elliptic curve was chosen randomly,
+# because one can simply use NIST's standard curves.
+#
+# Notes from X9.62-1998 (draft):
+#   Nomenclature:
+#     - Q is a public key.
+#     The "Elliptic Curve Domain Parameters" include:
+#     - q is the "field size", which in our case equals p.
+#     - p is a big prime.
+#     - G is a point of prime order (5.1.1.1).
+#     - n is the order of G (5.1.1.1).
+#   Public-key validation (5.2.2):
+#     - Verify that Q is not the point at infinity.
+#     - Verify that X_Q and Y_Q are in [0,p-1].
+#     - Verify that Q is on the curve.
+#     - Verify that nQ is the point at infinity.
+#   Signature generation (5.3):
+#     - Pick random k from [1,n-1].
+#   Signature checking (5.4.2):
+#     - Verify that r and s are in [1,n-1].
+#
+# Version of 2008.11.25.
+#
+# Revision history:
+#    2005.12.31 - Initial version.
+#    2008.11.25 - Change CurveFp.is_on to contains_point.
+#
+# Written in 2005 by Peter Pearson and placed in the public domain.
+
+from __future__ import division
+
+try:
+    from gmpy2 import mpz
+    GMPY = True
+except ImportError:
+    try:
+        from gmpy import mpz
+        GMPY = True
+    except ImportError:
+        GMPY = False
+
+
+from six import python_2_unicode_compatible
+from . import numbertheory
+from ._rwlock import RWLock
+
+
+@python_2_unicode_compatible
+class CurveFp(object):
+  """Elliptic Curve over the field of integers modulo a prime."""
+
+  if GMPY:
+      def __init__(self, p, a, b, h=None):
+        """
+        The curve of points satisfying y^2 = x^3 + a*x + b (mod p).
+
+        h is an integer that is the cofactor of the elliptic curve domain
+        parameters; it is the number of points satisfying the elliptic curve
+        equation divided by the order of the base point. It is used for selection
+        of efficient algorithm for public point verification.
+        """
+        self.__p = mpz(p)
+        self.__a = mpz(a)
+        self.__b = mpz(b)
+        # h is not used in calculations and it can be None, so don't use
+        # gmpy with it
+        self.__h = h
+  else:
+      def __init__(self, p, a, b, h=None):
+        """
+        The curve of points satisfying y^2 = x^3 + a*x + b (mod p).
+
+        h is an integer that is the cofactor of the elliptic curve domain
+        parameters; it is the number of points satisfying the elliptic curve
+        equation divided by the order of the base point. It is used for selection
+        of efficient algorithm for public point verification.
+        """
+        self.__p = p
+        self.__a = a
+        self.__b = b
+        self.__h = h
+
+  def __eq__(self, other):
+    if isinstance(other, CurveFp):
+      """Return True if the curves are identical, False otherwise."""
+      return self.__p == other.__p \
+          and self.__a == other.__a \
+          and self.__b == other.__b
+    return NotImplemented
+
+  def __hash__(self):
+    return hash((self.__p, self.__a, self.__b))
+
+  def p(self):
+    return self.__p
+
+  def a(self):
+    return self.__a
+
+  def b(self):
+    return self.__b
+
+  def cofactor(self):
+    return self.__h
+
+  def contains_point(self, x, y):
+    """Is the point (x,y) on this curve?"""
+    return (y * y - ((x * x + self.__a) * x + self.__b)) % self.__p == 0
+
+  def __str__(self):
+    return "CurveFp(p=%d, a=%d, b=%d, h=%d)" % (
+        self.__p, self.__a, self.__b, self.__h)
+
+
+class PointJacobi(object):
+  """
+  Point on an elliptic curve. Uses Jacobi coordinates.
+
+  In Jacobian coordinates, there are three parameters, X, Y and Z.
+  They correspond to affine parameters 'x' and 'y' like so:
+
+  x = X / Z²
+  y = Y / Z³
+  """
+  def __init__(self, curve, x, y, z, order=None, generator=False):
+      """
+      Initialise a point that uses Jacobi representation internally.
+
+      :param CurveFp curve: curve on which the point resides
+      :param int x: the X parameter of Jacobi representation (equal to x when
+        converting from affine coordinates
+      :param int y: the Y parameter of Jacobi representation (equal to y when
+        converting from affine coordinates
+      :param int z: the Z parameter of Jacobi representation (equal to 1 when
+        converting from affine coordinates
+      :param int order: the point order, must be non zero when using
+        generator=True
+      :param bool generator: the point provided is a curve generator, as
+        such, it will be commonly used with scalar multiplication. This will
+        cause to precompute multiplication table for it
+      """
+      self.__curve = curve
+      # since it's generally better (faster) to use scaled points vs unscaled
+      # ones, use writer-biased RWLock for locking:
+      self._scale_lock = RWLock()
+      if GMPY:
+          self.__x = mpz(x)
+          self.__y = mpz(y)
+          self.__z = mpz(z)
+          self.__order = order and mpz(order)
+      else:
+          self.__x = x
+          self.__y = y
+          self.__z = z
+          self.__order = order
+      self.__precompute = []
+      if generator:
+          assert order
+          i = 1
+          order *= 2
+          doubler = PointJacobi(curve, x, y, z, order)
+          order *= 2
+          self.__precompute.append((doubler.x(), doubler.y()))
+
+          while i < order:
+              i *= 2
+              doubler = doubler.double().scale()
+              self.__precompute.append((doubler.x(), doubler.y()))
+
+  def __eq__(self, other):
+      """Compare two points with each-other."""
+      try:
+          self._scale_lock.reader_acquire()
+          if other is INFINITY:
+              return not self.__y or not self.__z
+          x1, y1, z1 = self.__x, self.__y, self.__z
+      finally:
+          self._scale_lock.reader_release()
+      if isinstance(other, Point):
+          x2, y2, z2 = other.x(), other.y(), 1
+      elif isinstance(other, PointJacobi):
+          try:
+              other._scale_lock.reader_acquire()
+              x2, y2, z2 = other.__x, other.__y, other.__z
+          finally:
+              other._scale_lock.reader_release()
+      else:
+          return NotImplemented
+      if self.__curve != other.curve():
+          return False
+      p = self.__curve.p()
+
+      zz1 = z1 * z1 % p
+      zz2 = z2 * z2 % p
+
+      # compare the fractions by bringing them to the same denominator
+      # depend on short-circuit to save 4 multiplications in case of inequality
+      return (x1 * zz2 - x2 * zz1) % p == 0 and \
+             (y1 * zz2 * z2 - y2 * zz1 * z1) % p == 0
+
+  def order(self):
+      """Return the order of the point.
+
+      None if it is undefined.
+      """
+      return self.__order
+
+  def curve(self):
+      """Return curve over which the point is defined."""
+      return self.__curve
+
+  def x(self):
+      """
+      Return affine x coordinate.
+
+      This method should be used only when the 'y' coordinate is not needed.
+      It's computationally more efficient to use `to_affine()` and then
+      call x() and y() on the returned instance. Or call `scale()`
+      and then x() and y() on the returned instance.
+      """
+      try:
+          self._scale_lock.reader_acquire()
+          if self.__z == 1:
+              return self.__x
+          x = self.__x
+          z = self.__z
+      finally:
+          self._scale_lock.reader_release()
+      p = self.__curve.p()
+      z = numbertheory.inverse_mod(z, p)
+      return x * z**2 % p
+
+  def y(self):
+      """
+      Return affine y coordinate.
+
+      This method should be used only when the 'x' coordinate is not needed.
+      It's computationally more efficient to use `to_affine()` and then
+      call x() and y() on the returned instance. Or call `scale()`
+      and then x() and y() on the returned instance.
+      """
+      try:
+          self._scale_lock.reader_acquire()
+          if self.__z == 1:
+              return self.__y
+          y = self.__y
+          z = self.__z
+      finally:
+          self._scale_lock.reader_release()
+      p = self.__curve.p()
+      z = numbertheory.inverse_mod(z, p)
+      return y * z**3 % p
+
+  def scale(self):
+      """
+      Return point scaled so that z == 1.
+
+      Modifies point in place, returns self.
+      """
+      try:
+          self._scale_lock.reader_acquire()
+          if self.__z == 1:
+              return self
+      finally:
+          self._scale_lock.reader_release()
+
+      try:
+          self._scale_lock.writer_acquire()
+          # scaling already scaled point is safe (as inverse of 1 is 1) and
+          # quick so we don't need to optimise for the unlikely event when
+          # two threads hit the lock at the same time
+          p = self.__curve.p()
+          z_inv = numbertheory.inverse_mod(self.__z, p)
+          zz_inv = z_inv * z_inv % p
+          self.__x = self.__x * zz_inv % p
+          self.__y = self.__y * zz_inv * z_inv % p
+          # we are setting the z last so that the check above will return true
+          # only after all values were already updated
+          self.__z = 1
+      finally:
+          self._scale_lock.writer_release()
+      return self
+
+  def to_affine(self):
+      """Return point in affine form."""
+      if not self.__y or not self.__z:
+          return INFINITY
+      self.scale()
+      # after point is scaled, it's immutable, so no need to perform locking
+      return Point(self.__curve, self.__x,
+                   self.__y, self.__order)
+
+  @staticmethod
+  def from_affine(point, generator=False):
+      """Create from an affine point.
+
+      :param bool generator: set to True to make the point to precalculate
+        multiplication table - useful for public point when verifying many
+        signatures (around 100 or so) or for generator points of a curve.
+      """
+      return PointJacobi(point.curve(), point.x(), point.y(), 1,
+                         point.order(), generator)
+
+  # plese note that all the methods that use the equations from hyperelliptic
+  # are formatted in a way to maximise performance.
+  # Things that make code faster: multiplying instead of taking to the power
+  # (`xx = x * x; xxxx = xx * xx % p` is faster than `xxxx = x**4 % p` and
+  # `pow(x, 4, p)`),
+  # multiple assignments at the same time (`x1, x2 = self.x1, self.x2` is
+  # faster than `x1 = self.x1; x2 = self.x2`),
+  # similarly, sometimes the `% p` is skipped if it makes the calculation
+  # faster and the result of calculation is later reduced modulo `p`
+
+  def _double_with_z_1(self, X1, Y1, p, a):
+      """Add a point to itself with z == 1."""
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#doubling-mdbl-2007-bl
+      XX, YY = X1 * X1 % p, Y1 * Y1 % p
+      if not YY:
+          return 0, 0, 1
+      YYYY = YY * YY % p
+      S = 2 * ((X1 + YY)**2 - XX - YYYY) % p
+      M = 3 * XX + a
+      T = (M * M - 2 * S) % p
+      # X3 = T
+      Y3 = (M * (S - T) - 8 * YYYY) % p
+      Z3 = 2 * Y1 % p
+      return T, Y3, Z3
+
+  def _double(self, X1, Y1, Z1, p, a):
+      """Add a point to itself, arbitrary z."""
+      if Z1 == 1:
+          return self._double_with_z_1(X1, Y1, p, a)
+      if not Z1:
+          return 0, 0, 1
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#doubling-dbl-2007-bl
+      XX, YY = X1 * X1 % p, Y1 * Y1 % p
+      if not YY:
+          return 0, 0, 1
+      YYYY = YY * YY % p
+      ZZ = Z1 * Z1 % p
+      S = 2 * ((X1 + YY)**2 - XX - YYYY) % p
+      M = (3 * XX + a * ZZ * ZZ) % p
+      T = (M * M - 2 * S) % p
+      # X3 = T
+      Y3 = (M * (S - T) - 8 * YYYY) % p
+      Z3 = ((Y1 + Z1)**2 - YY - ZZ) % p
+
+      return T, Y3, Z3
+
+  def double(self):
+      """Add a point to itself."""
+      if not self.__y:
+          return INFINITY
+
+      p, a = self.__curve.p(), self.__curve.a()
+
+      try:
+          self._scale_lock.reader_acquire()
+          X1, Y1, Z1 = self.__x, self.__y, self.__z
+      finally:
+          self._scale_lock.reader_release()
+
+      X3, Y3, Z3 = self._double(X1, Y1, Z1, p, a)
+
+      if not Y3 or not Z3:
+          return INFINITY
+      return PointJacobi(self.__curve, X3, Y3, Z3, self.__order)
+
+  def _add_with_z_1(self, X1, Y1, X2, Y2, p):
+      """add points when both Z1 and Z2 equal 1"""
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-mmadd-2007-bl
+      H = X2 - X1
+      HH = H * H
+      I = 4 * HH % p
+      J = H * I
+      r = 2 * (Y2 - Y1)
+      if not H and not r:
+          return self._double_with_z_1(X1, Y1, p, self.__curve.a())
+      V = X1 * I
+      X3 = (r**2 - J - 2 * V) % p
+      Y3 = (r * (V - X3) - 2 * Y1 * J) % p
+      Z3 = 2 * H % p
+      return X3, Y3, Z3
+
+  def _add_with_z_eq(self, X1, Y1, Z1, X2, Y2, p):
+      """add points when Z1 == Z2"""
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-zadd-2007-m
+      A = (X2 - X1)**2 % p
+      B = X1 * A % p
+      C = X2 * A
+      D = (Y2 - Y1)**2 % p
+      if not A and not D:
+          return self._double(X1, Y1, Z1, p, self.__curve.a())
+      X3 = (D - B - C) % p
+      Y3 = ((Y2 - Y1) * (B - X3) - Y1 * (C - B)) % p
+      Z3 = Z1 * (X2 - X1) % p
+      return X3, Y3, Z3
+
+  def _add_with_z2_1(self, X1, Y1, Z1, X2, Y2, p):
+      """add points when Z2 == 1"""
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-madd-2007-bl
+      Z1Z1 = Z1 * Z1 % p
+      U2, S2 = X2 * Z1Z1 % p, Y2 * Z1 * Z1Z1 % p
+      H = (U2 - X1) % p
+      HH = H * H % p
+      I = 4 * HH % p
+      J = H * I
+      r = 2 * (S2 - Y1) % p
+      if not r and not H:
+          return self._double_with_z_1(X2, Y2, p, self.__curve.a())
+      V = X1 * I
+      X3 = (r * r - J - 2 * V) % p
+      Y3 = (r * (V - X3) - 2 * Y1 * J) % p
+      Z3 = ((Z1 + H)**2 - Z1Z1 - HH) % p
+      return X3, Y3, Z3
+
+  def _add_with_z_ne(self, X1, Y1, Z1, X2, Y2, Z2, p):
+      """add points with arbitrary z"""
+      # after:
+      # http://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian.html#addition-add-2007-bl
+      Z1Z1 = Z1 * Z1 % p
+      Z2Z2 = Z2 * Z2 % p
+      U1 = X1 * Z2Z2 % p
+      U2 = X2 * Z1Z1 % p
+      S1 = Y1 * Z2 * Z2Z2 % p
+      S2 = Y2 * Z1 * Z1Z1 % p
+      H = U2 - U1
+      I = 4 * H * H % p
+      J = H * I % p
+      r = 2 * (S2 - S1) % p
+      if not H and not r:
+          return self._double(X1, Y1, Z1, p, self.__curve.a())
+      V = U1 * I
+      X3 = (r * r - J - 2 * V) % p
+      Y3 = (r * (V - X3) - 2 * S1 * J) % p
+      Z3 = ((Z1 + Z2)**2 - Z1Z1 - Z2Z2) * H % p
+
+      return X3, Y3, Z3
+
+  def __radd__(self, other):
+      """Add other to self."""
+      return self + other
+
+  def _add(self, X1, Y1, Z1, X2, Y2, Z2, p):
+      """add two points, select fastest method."""
+      if not Y1 or not Z1:
+          return X2, Y2, Z2
+      if not Y2 or not Z2:
+          return X1, Y1, Z1
+      if Z1 == Z2:
+          if Z1 == 1:
+              return self._add_with_z_1(X1, Y1, X2, Y2, p)
+          return self._add_with_z_eq(X1, Y1, Z1, X2, Y2, p)
+      if Z1 == 1:
+          return self._add_with_z2_1(X2, Y2, Z2, X1, Y1, p)
+      if Z2 == 1:
+          return self._add_with_z2_1(X1, Y1, Z1, X2, Y2, p)
+      return self._add_with_z_ne(X1, Y1, Z1, X2, Y2, Z2, p)
+
+  def __add__(self, other):
+      """Add two points on elliptic curve."""
+      if self == INFINITY:
+          return other
+      if other == INFINITY:
+          return self
+      if isinstance(other, Point):
+          other = PointJacobi.from_affine(other)
+      if self.__curve != other.__curve:
+          raise ValueError("The other point is on different curve")
+
+      p = self.__curve.p()
+      try:
+          self._scale_lock.reader_acquire()
+          X1, Y1, Z1 = self.__x, self.__y, self.__z
+      finally:
+          self._scale_lock.reader_release()
+      try:
+          other._scale_lock.reader_acquire()
+          X2, Y2, Z2 = other.__x, other.__y, other.__z
+      finally:
+          other._scale_lock.reader_release()
+      X3, Y3, Z3 = self._add(X1, Y1, Z1, X2, Y2, Z2, p)
+
+      if not Y3 or not Z3:
+          return INFINITY
+      return PointJacobi(self.__curve, X3, Y3, Z3, self.__order)
+
+  def __rmul__(self, other):
+      """Multiply point by an integer."""
+      return self * other
+
+  def _mul_precompute(self, other):
+      """Multiply point by integer with precomputation table."""
+      X3, Y3, Z3, p = 0, 0, 1, self.__curve.p()
+      _add = self._add
+      for X2, Y2 in self.__precompute:
+          if other % 2:
+              if other % 4 >= 2:
+                  other = (other + 1)//2
+                  X3, Y3, Z3 = _add(X3, Y3, Z3, X2, -Y2, 1, p)
+              else:
+                  other = (other - 1)//2
+                  X3, Y3, Z3 = _add(X3, Y3, Z3, X2, Y2, 1, p)
+          else:
+              other //= 2
+
+      if not Y3 or not Z3:
+          return INFINITY
+      return PointJacobi(self.__curve, X3, Y3, Z3, self.__order)
+
+  @staticmethod
+  def _naf(mult):
+      """Calculate non-adjacent form of number."""
+      ret = []
+      while mult:
+          if mult % 2:
+              nd = mult % 4
+              if nd >= 2:
+                  nd = nd - 4
+              ret += [nd]
+              mult -= nd
+          else:
+              ret += [0]
+          mult //= 2
+      return ret
+
+  def __mul__(self, other):
+      """Multiply point by an integer."""
+      if not self.__y or not other:
+          return INFINITY
+      if other == 1:
+          return self
+      if self.__order:
+          # order*2 as a protection for Minerva
+          other = other % (self.__order*2)
+      if self.__precompute:
+          return self._mul_precompute(other)
+
+      self = self.scale()
+      # once scaled, point is immutable, not need to lock
+      X2, Y2 = self.__x, self.__y
+      X3, Y3, Z3 = 0, 0, 1
+      p, a = self.__curve.p(), self.__curve.a()
+      _double = self._double
+      _add = self._add
+      # since adding points when at least one of them is scaled
+      # is quicker, reverse the NAF order
+      for i in reversed(self._naf(other)):
+          X3, Y3, Z3 = _double(X3, Y3, Z3, p, a)
+          if i < 0:
+              X3, Y3, Z3 = _add(X3, Y3, Z3, X2, -Y2, 1, p)
+          elif i > 0:
+              X3, Y3, Z3 = _add(X3, Y3, Z3, X2, Y2, 1, p)
+
+      if not Y3 or not Z3:
+          return INFINITY
+
+      return PointJacobi(self.__curve, X3, Y3, Z3, self.__order)
+
+  @staticmethod
+  def _leftmost_bit(x):
+      """Return integer with the same magnitude as x but hamming weight of 1"""
+      assert x > 0
+      result = 1
+      while result <= x:
+        result = 2 * result
+      return result // 2
+
+  def mul_add(self, self_mul, other, other_mul):
+      """
+      Do two multiplications at the same time, add results.
+
+      calculates self*self_mul + other*other_mul
+      """
+      if other is INFINITY or other_mul == 0:
+          return self * self_mul
+      if self_mul == 0:
+          return other * other_mul
+      if not isinstance(other, PointJacobi):
+          other = PointJacobi.from_affine(other)
+      # when the points have precomputed answers, then multiplying them alone
+      # is faster (as it uses NAF)
+      if self.__precompute and other.__precompute:
+          return self * self_mul + other * other_mul
+
+      if self.__order:
+          self_mul = self_mul % self.__order
+          other_mul = other_mul % self.__order
+
+      i = self._leftmost_bit(max(self_mul, other_mul))*2
+      X3, Y3, Z3 = 0, 0, 1
+      p, a = self.__curve.p(), self.__curve.a()
+      self = self.scale()
+      # after scaling, point is immutable, no need for locking
+      X1, Y1 = self.__x, self.__y
+      other = other.scale()
+      X2, Y2 = other.__x, other.__y
+      both = (self + other).scale()
+      X4, Y4 = both.__x, both.__y
+      _double = self._double
+      _add = self._add
+      while i > 1:
+          X3, Y3, Z3 = _double(X3, Y3, Z3, p, a)
+          i = i // 2
+
+          if self_mul & i and other_mul & i:
+              X3, Y3, Z3 = _add(X3, Y3, Z3, X4, Y4, 1, p)
+          elif self_mul & i:
+              X3, Y3, Z3 = _add(X3, Y3, Z3, X1, Y1, 1, p)
+          elif other_mul & i:
+              X3, Y3, Z3 = _add(X3, Y3, Z3, X2, Y2, 1, p)
+
+      if not Y3 or not Z3:
+          return INFINITY
+
+      return PointJacobi(self.__curve, X3, Y3, Z3, self.__order)
+
+  def __neg__(self):
+      """Return negated point."""
+      try:
+          self._scale_lock.reader_acquire()
+          return PointJacobi(self.__curve, self.__x, -self.__y, self.__z,
+                             self.__order)
+      finally:
+          self._scale_lock.reader_release()
+
+
+class Point(object):
+  """A point on an elliptic curve. Altering x and y is forbidding,
+     but they can be read by the x() and y() methods."""
+  def __init__(self, curve, x, y, order=None):
+    """curve, x, y, order; order (optional) is the order of this point."""
+    self.__curve = curve
+    if GMPY:
+        self.__x = x and mpz(x)
+        self.__y = y and mpz(y)
+        self.__order = order and mpz(order)
+    else:
+        self.__x = x
+        self.__y = y
+        self.__order = order
+    # self.curve is allowed to be None only for INFINITY:
+    if self.__curve:
+      assert self.__curve.contains_point(x, y)
+    # for curves with cofactor 1, all points that are on the curve are scalar
+    # multiples of the base point, so performing multiplication is not
+    # necessary to verify that. See Section 3.2.2.1 of SEC 1 v2
+    if curve and curve.cofactor() != 1 and order:
+      assert self * order == INFINITY
+
+  def __eq__(self, other):
+    """Return True if the points are identical, False otherwise."""
+    if isinstance(other, Point):
+      return self.__curve == other.__curve \
+          and self.__x == other.__x \
+          and self.__y == other.__y
+    return NotImplemented
+
+  def __neg__(self):
+    return Point(self.__curve, self.__x, self.__curve.p() - self.__y)
+
+  def __add__(self, other):
+    """Add one point to another point."""
+
+    # X9.62 B.3:
+
+    if not isinstance(other, Point):
+        return NotImplemented
+    if other == INFINITY:
+      return self
+    if self == INFINITY:
+      return other
+    assert self.__curve == other.__curve
+    if self.__x == other.__x:
+      if (self.__y + other.__y) % self.__curve.p() == 0:
+        return INFINITY
+      else:
+        return self.double()
+
+    p = self.__curve.p()
+
+    l = ((other.__y - self.__y) * \
+         numbertheory.inverse_mod(other.__x - self.__x, p)) % p
+
+    x3 = (l * l - self.__x - other.__x) % p
+    y3 = (l * (self.__x - x3) - self.__y) % p
+
+    return Point(self.__curve, x3, y3)
+
+  def __mul__(self, other):
+    """Multiply a point by an integer."""
+
+    def leftmost_bit(x):
+      assert x > 0
+      result = 1
+      while result <= x:
+        result = 2 * result
+      return result // 2
+
+    e = other
+    if e == 0 or (self.__order and e % self.__order == 0):
+      return INFINITY
+    if self == INFINITY:
+      return INFINITY
+    if e < 0:
+      return (-self) * (-e)
+
+    # From X9.62 D.3.2:
+
+    e3 = 3 * e
+    negative_self = Point(self.__curve, self.__x, -self.__y, self.__order)
+    i = leftmost_bit(e3) // 2
+    result = self
+    # print_("Multiplying %s by %d (e3 = %d):" % (self, other, e3))
+    while i > 1:
+      result = result.double()
+      if (e3 & i) != 0 and (e & i) == 0:
+        result = result + self
+      if (e3 & i) == 0 and (e & i) != 0:
+        result = result + negative_self
+      # print_(". . . i = %d, result = %s" % ( i, result ))
+      i = i // 2
+
+    return result
+
+  def __rmul__(self, other):
+    """Multiply a point by an integer."""
+
+    return self * other
+
+  def __str__(self):
+    if self == INFINITY:
+      return "infinity"
+    return "(%d,%d)" % (self.__x, self.__y)
+
+  def double(self):
+    """Return a new point that is twice the old."""
+
+    if self == INFINITY:
+      return INFINITY
+
+    # X9.62 B.3:
+
+    p = self.__curve.p()
+    a = self.__curve.a()
+
+    l = ((3 * self.__x * self.__x + a) * \
+         numbertheory.inverse_mod(2 * self.__y, p)) % p
+
+    x3 = (l * l - 2 * self.__x) % p
+    y3 = (l * (self.__x - x3) - self.__y) % p
+
+    return Point(self.__curve, x3, y3)
+
+  def x(self):
+    return self.__x
+
+  def y(self):
+    return self.__y
+
+  def curve(self):
+    return self.__curve
+
+  def order(self):
+    return self.__order
+
+
+# This one point is the Point At Infinity for all purposes:
+INFINITY = Point(None, None, None)
diff --git a/third_party/python/ecdsa/ecdsa/keys.py b/third_party/python/ecdsa/ecdsa/keys.py
new file mode 100644
index 0000000000..172fdf5874
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/keys.py
@@ -0,0 +1,1219 @@
+"""
+Primary classes for performing signing and verification operations.
+
+.. glossary::
+
+    raw encoding
+        Conversion of public, private keys and signatures (which in
+        mathematical sense are integers or pairs of integers) to strings of
+        bytes that does not use any special tags or encoding rules.
+        For any given curve, all keys of the same type or signatures will be
+        encoded to byte strings of the same length. In more formal sense,
+        the integers are encoded as big-endian, constant length byte strings,
+        where the string length is determined by the curve order (e.g.
+        for NIST256p the order is 256 bits long, so the private key will be 32
+        bytes long while public key will be 64 bytes long). The encoding of a
+        single integer is zero-padded on the left if the numerical value is
+        low. In case of public keys and signatures, which are comprised of two
+        integers, the integers are simply concatenated.
+
+    uncompressed
+        The most common formatting specified in PKIX standards. Specified in
+        X9.62 and SEC1 standards. The only difference between it and
+        :term:`raw encoding` is the prepending of a 0x04 byte. Thus an
+        uncompressed NIST256p public key encoding will be 65 bytes long.
+
+    compressed
+        The public point representation that uses half of bytes of the
+        :term:`uncompressed` encoding (rounded up). It uses the first byte of
+        the encoding to specify the sign of the y coordinate and encodes the
+        x coordinate as-is. The first byte of the encoding is equal to
+        0x02 or 0x03. Compressed encoding of NIST256p public key will be 33
+        bytes long.
+
+    hybrid
+        A combination of :term:`uncompressed` and :term:`compressed` encodings.
+        Both x and y coordinates are stored just as in :term:`compressed`
+        encoding, but the first byte reflects the sign of the y coordinate. The
+        first byte of the encoding will be equal to 0x06 or 0x7. Hybrid
+        encoding of NIST256p public key will be 65 bytes long.
+
+    PEM
+        The acronym stands for Privacy Enhanced Email, but currently it is used
+        primarily as the way to encode :term:`DER` objects into text that can
+        be either easily copy-pasted or transferred over email.
+        It uses headers like ``-----BEGIN <type of contents>-----`` and footers
+        like ``-----END <type of contents>-----`` to separate multiple
+        types of objects in the same file or the object from the surrounding
+        comments. The actual object stored is base64 encoded.
+
+    DER
+        Distinguished Encoding Rules, the way to encode :term:`ASN.1` objects
+        deterministically and uniquely into byte strings.
+
+    ASN.1
+        Abstract Syntax Notation 1 is a standard description language for
+        specifying serialisation and deserialisation of data structures in a
+        portable and cross-platform way.
+
+    bytes-like object
+        All the types that implement the buffer protocol. That includes
+        ``str`` (only on python2), ``bytes``, ``bytesarray``, ``array.array`
+        and ``memoryview`` of those objects.
+        Please note that ``array.array` serialisation (converting it to byte
+        string) is endianess dependant! Signature computed over ``array.array``
+        of integers on a big-endian system will not be verified on a
+        little-endian system and vice-versa.
+"""
+
+import binascii
+from hashlib import sha1
+from six import PY3, b
+from . import ecdsa
+from . import der
+from . import rfc6979
+from . import ellipticcurve
+from .curves import NIST192p, find_curve
+from .numbertheory import square_root_mod_prime, SquareRootError
+from .ecdsa import RSZeroError
+from .util import string_to_number, number_to_string, randrange
+from .util import sigencode_string, sigdecode_string
+from .util import oid_ecPublicKey, encoded_oid_ecPublicKey, MalformedSignature
+from ._compat import normalise_bytes
+
+
+__all__ = ["BadSignatureError", "BadDigestError", "VerifyingKey", "SigningKey",
+           "MalformedPointError"]
+
+
+class BadSignatureError(Exception):
+    """
+    Raised when verification of signature failed.
+
+    Will be raised irrespective of reason of the failure:
+
+    * the calculated or provided hash does not match the signature
+    * the signature does not match the curve/public key
+    * the encoding of the signature is malformed
+    * the size of the signature does not match the curve of the VerifyingKey
+    """
+
+    pass
+
+
+class BadDigestError(Exception):
+    """Raised in case the selected hash is too large for the curve."""
+
+    pass
+
+
+class MalformedPointError(AssertionError):
+    """Raised in case the encoding of private or public key is malformed."""
+
+    pass
+
+
+class VerifyingKey(object):
+    """
+    Class for handling keys that can verify signatures (public keys).
+
+    :ivar ecdsa.curves.Curve curve: The Curve over which all the cryptographic
+        operations will take place
+    :ivar default_hashfunc: the function that will be used for hashing the
+        data. Should implement the same API as hashlib.sha1
+    :vartype default_hashfunc: callable
+    :ivar pubkey: the actual public key
+    :vartype pubkey: ecdsa.ecdsa.Public_key
+    """
+
+    def __init__(self, _error__please_use_generate=None):
+        """Unsupported, please use one of the classmethods to initialise."""
+        if not _error__please_use_generate:
+            raise TypeError("Please use VerifyingKey.generate() to "
+                            "construct me")
+        self.curve = None
+        self.default_hashfunc = None
+        self.pubkey = None
+
+    def __repr__(self):
+        pub_key = self.to_string("compressed")
+        return "VerifyingKey.from_string({0!r}, {1!r}, {2})".format(
+            pub_key, self.curve, self.default_hashfunc().name)
+
+    def __eq__(self, other):
+        """Return True if the points are identical, False otherwise."""
+        if isinstance(other, VerifyingKey):
+            return self.curve == other.curve \
+                and self.pubkey == other.pubkey
+        return NotImplemented
+
+    @classmethod
+    def from_public_point(cls, point, curve=NIST192p, hashfunc=sha1,
+                          validate_point=True):
+        """
+        Initialise the object from a Point object.
+
+        This is a low-level method, generally you will not want to use it.
+
+        :param point: The point to wrap around, the actual public key
+        :type point: ecdsa.ellipticcurve.Point
+        :param curve: The curve on which the point needs to reside, defaults
+            to NIST192p
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            verification, needs to implement the same interface
+            as hashlib.sha1
+        :type hashfunc: callable
+        :type bool validate_point: whether to check if the point lies on curve
+            should always be used if the public point is not a result
+            of our own calculation
+
+        :raises MalformedPointError: if the public point does not lie on the
+            curve
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        self = cls(_error__please_use_generate=True)
+        if not isinstance(point, ellipticcurve.PointJacobi):
+            point = ellipticcurve.PointJacobi.from_affine(point)
+        self.curve = curve
+        self.default_hashfunc = hashfunc
+        try:
+            self.pubkey = ecdsa.Public_key(curve.generator, point,
+                                           validate_point)
+        except ecdsa.InvalidPointError:
+            raise MalformedPointError("Point does not lie on the curve")
+        self.pubkey.order = curve.order
+        return self
+
+    def precompute(self):
+        self.pubkey.point = ellipticcurve.PointJacobi.from_affine(
+            self.pubkey.point, True)
+
+    @staticmethod
+    def _from_raw_encoding(string, curve):
+        """
+        Decode public point from :term:`raw encoding`.
+
+        :term:`raw encoding` is the same as the :term:`uncompressed` encoding,
+        but without the 0x04 byte at the beginning.
+        """
+        order = curve.order
+        # real assert, from_string() should not call us with different length
+        assert len(string) == curve.verifying_key_length
+        xs = string[:curve.baselen]
+        ys = string[curve.baselen:]
+        if len(xs) != curve.baselen:
+            raise MalformedPointError("Unexpected length of encoded x")
+        if len(ys) != curve.baselen:
+            raise MalformedPointError("Unexpected length of encoded y")
+        x = string_to_number(xs)
+        y = string_to_number(ys)
+
+        return ellipticcurve.PointJacobi(curve.curve, x, y, 1, order)
+
+    @staticmethod
+    def _from_compressed(string, curve):
+        """Decode public point from compressed encoding."""
+        if string[:1] not in (b('\x02'), b('\x03')):
+            raise MalformedPointError("Malformed compressed point encoding")
+
+        is_even = string[:1] == b('\x02')
+        x = string_to_number(string[1:])
+        order = curve.order
+        p = curve.curve.p()
+        alpha = (pow(x, 3, p) + (curve.curve.a() * x) + curve.curve.b()) % p
+        try:
+            beta = square_root_mod_prime(alpha, p)
+        except SquareRootError as e:
+            raise MalformedPointError(
+                "Encoding does not correspond to a point on curve", e)
+        if is_even == bool(beta & 1):
+            y = p - beta
+        else:
+            y = beta
+        return ellipticcurve.PointJacobi(curve.curve, x, y, 1, order)
+
+    @classmethod
+    def _from_hybrid(cls, string, curve, validate_point):
+        """Decode public point from hybrid encoding."""
+        # real assert, from_string() should not call us with different types
+        assert string[:1] in (b('\x06'), b('\x07'))
+
+        # primarily use the uncompressed as it's easiest to handle
+        point = cls._from_raw_encoding(string[1:], curve)
+
+        # but validate if it's self-consistent if we're asked to do that
+        if validate_point \
+                and (point.y() & 1 and string[:1] != b('\x07')
+                     or (not point.y() & 1) and string[:1] != b('\x06')):
+            raise MalformedPointError("Inconsistent hybrid point encoding")
+
+        return point
+
+    @classmethod
+    def from_string(cls, string, curve=NIST192p, hashfunc=sha1,
+                    validate_point=True):
+        """
+        Initialise the object from byte encoding of public key.
+
+        The method does accept and automatically detect the type of point
+        encoding used. It supports the :term:`raw encoding`,
+        :term:`uncompressed`, :term:`compressed` and :term:`hybrid` encodings.
+
+        Note, while the method is named "from_string" it's a misnomer from
+        Python 2 days when there were no binary strings. In Python 3 the
+        input needs to be a bytes-like object.
+
+        :param string: single point encoding of the public key
+        :type string: :term:`bytes-like object`
+        :param curve: the curve on which the public key is expected to lie
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            verification, needs to implement the same interface as hashlib.sha1
+        :type hashfunc: callable
+        :param validate_point: whether to verify that the point lies on the
+            provided curve or not, defaults to True
+        :type validate_point: bool
+
+        :raises MalformedPointError: if the public point does not lie on the
+            curve or the encoding is invalid
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        string = normalise_bytes(string)
+        sig_len = len(string)
+        if sig_len == curve.verifying_key_length:
+            point = cls._from_raw_encoding(string, curve)
+        elif sig_len == curve.verifying_key_length + 1:
+            if string[:1] in (b('\x06'), b('\x07')):
+                point = cls._from_hybrid(string, curve, validate_point)
+            elif string[:1] == b('\x04'):
+                point = cls._from_raw_encoding(string[1:], curve)
+            else:
+                raise MalformedPointError(
+                    "Invalid X9.62 encoding of the public point")
+        elif sig_len == curve.baselen + 1:
+            point = cls._from_compressed(string, curve)
+        else:
+            raise MalformedPointError(
+                "Length of string does not match lengths of "
+                "any of the supported encodings of {0} "
+                "curve.".format(curve.name))
+        return cls.from_public_point(point, curve, hashfunc,
+                                     validate_point)
+
+    @classmethod
+    def from_pem(cls, string, hashfunc=sha1):
+        """
+        Initialise from public key stored in :term:`PEM` format.
+
+        The PEM header of the key should be ``BEGIN PUBLIC KEY``.
+
+        See the :func:`~VerifyingKey.from_der()` method for details of the
+        format supported.
+
+        Note: only a single PEM object encoding is supported in provided
+        string.
+
+        :param string: text with PEM-encoded public ECDSA key
+        :type string: str
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        return cls.from_der(der.unpem(string), hashfunc=hashfunc)
+
+    @classmethod
+    def from_der(cls, string, hashfunc=sha1):
+        """
+        Initialise the key stored in :term:`DER` format.
+
+        The expected format of the key is the SubjectPublicKeyInfo structure
+        from RFC5912 (for RSA keys, it's known as the PKCS#1 format)::
+
+           SubjectPublicKeyInfo {PUBLIC-KEY: IOSet} ::= SEQUENCE {
+               algorithm        AlgorithmIdentifier {PUBLIC-KEY, {IOSet}},
+               subjectPublicKey BIT STRING
+           }
+
+        Note: only public EC keys are supported by this method. The
+        SubjectPublicKeyInfo.algorithm.algorithm field must specify
+        id-ecPublicKey (see RFC3279).
+
+        Only the named curve encoding is supported, thus the
+        SubjectPublicKeyInfo.algorithm.parameters field needs to be an
+        object identifier. A sequence in that field indicates an explicit
+        parameter curve encoding, this format is not supported. A NULL object
+        in that field indicates an "implicitlyCA" encoding, where the curve
+        parameters come from CA certificate, those, again, are not supported.
+
+        :param string: binary string with the DER encoding of public ECDSA key
+        :type string: bytes-like object
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        string = normalise_bytes(string)
+        # [[oid_ecPublicKey,oid_curve], point_str_bitstring]
+        s1, empty = der.remove_sequence(string)
+        if empty != b"":
+            raise der.UnexpectedDER("trailing junk after DER pubkey: %s" %
+                                    binascii.hexlify(empty))
+        s2, point_str_bitstring = der.remove_sequence(s1)
+        # s2 = oid_ecPublicKey,oid_curve
+        oid_pk, rest = der.remove_object(s2)
+        oid_curve, empty = der.remove_object(rest)
+        if empty != b"":
+            raise der.UnexpectedDER("trailing junk after DER pubkey objects: %s" %
+                                    binascii.hexlify(empty))
+        if not oid_pk == oid_ecPublicKey:
+            raise der.UnexpectedDER("Unexpected object identifier in DER "
+                                    "encoding: {0!r}".format(oid_pk))
+        curve = find_curve(oid_curve)
+        point_str, empty = der.remove_bitstring(point_str_bitstring, 0)
+        if empty != b"":
+            raise der.UnexpectedDER("trailing junk after pubkey pointstring: %s" %
+                                    binascii.hexlify(empty))
+        # raw encoding of point is invalid in DER files
+        if len(point_str) == curve.verifying_key_length:
+            raise der.UnexpectedDER("Malformed encoding of public point")
+        return cls.from_string(point_str, curve, hashfunc=hashfunc)
+
+    @classmethod
+    def from_public_key_recovery(cls, signature, data, curve, hashfunc=sha1,
+                                 sigdecode=sigdecode_string):
+        """
+        Return keys that can be used as verifiers of the provided signature.
+
+        Tries to recover the public key that can be used to verify the
+        signature, usually returns two keys like that.
+
+        :param signature: the byte string with the encoded signature
+        :type signature: bytes-like object
+        :param data: the data to be hashed for signature verification
+        :type data: bytes-like object
+        :param curve: the curve over which the signature was performed
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            verification, needs to implement the same interface as hashlib.sha1
+        :type hashfunc: callable
+        :param sigdecode: Callable to define the way the signature needs to
+            be decoded to an object, needs to handle `signature` as the
+            first parameter, the curve order (an int) as the second and return
+            a tuple with two integers, "r" as the first one and "s" as the
+            second one. See :func:`ecdsa.util.sigdecode_string` and
+            :func:`ecdsa.util.sigdecode_der` for examples.
+        :type sigdecode: callable
+
+        :return: Initialised VerifyingKey objects
+        :rtype: list of VerifyingKey
+        """
+        data = normalise_bytes(data)
+        digest = hashfunc(data).digest()
+        return cls.from_public_key_recovery_with_digest(
+            signature, digest, curve, hashfunc=hashfunc,
+            sigdecode=sigdecode)
+
+    @classmethod
+    def from_public_key_recovery_with_digest(
+            cls, signature, digest, curve,
+            hashfunc=sha1, sigdecode=sigdecode_string):
+        """
+        Return keys that can be used as verifiers of the provided signature.
+
+        Tries to recover the public key that can be used to verify the
+        signature, usually returns two keys like that.
+
+        :param signature: the byte string with the encoded signature
+        :type signature: bytes-like object
+        :param digest: the hash value of the message signed by the signature
+        :type digest: bytes-like object
+        :param curve: the curve over which the signature was performed
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            verification, needs to implement the same interface as hashlib.sha1
+        :type hashfunc: callable
+        :param sigdecode: Callable to define the way the signature needs to
+            be decoded to an object, needs to handle `signature` as the
+            first parameter, the curve order (an int) as the second and return
+            a tuple with two integers, "r" as the first one and "s" as the
+            second one. See :func:`ecdsa.util.sigdecode_string` and
+            :func:`ecdsa.util.sigdecode_der` for examples.
+        :type sigdecode: callable
+
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        generator = curve.generator
+        r, s = sigdecode(signature, generator.order())
+        sig = ecdsa.Signature(r, s)
+
+        digest = normalise_bytes(digest)
+        digest_as_number = string_to_number(digest)
+        pks = sig.recover_public_keys(digest_as_number, generator)
+
+        # Transforms the ecdsa.Public_key object into a VerifyingKey
+        verifying_keys = [cls.from_public_point(pk.point, curve, hashfunc)
+                          for pk in pks]
+        return verifying_keys
+
+    def _raw_encode(self):
+        """Convert the public key to the :term:`raw encoding`."""
+        order = self.pubkey.order
+        x_str = number_to_string(self.pubkey.point.x(), order)
+        y_str = number_to_string(self.pubkey.point.y(), order)
+        return x_str + y_str
+
+    def _compressed_encode(self):
+        """Encode the public point into the compressed form."""
+        order = self.pubkey.order
+        x_str = number_to_string(self.pubkey.point.x(), order)
+        if self.pubkey.point.y() & 1:
+            return b('\x03') + x_str
+        else:
+            return b('\x02') + x_str
+
+    def _hybrid_encode(self):
+        """Encode the public point into the hybrid form."""
+        raw_enc = self._raw_encode()
+        if self.pubkey.point.y() & 1:
+            return b('\x07') + raw_enc
+        else:
+            return b('\x06') + raw_enc
+
+    def to_string(self, encoding="raw"):
+        """
+        Convert the public key to a byte string.
+
+        The method by default uses the :term:`raw encoding` (specified
+        by `encoding="raw"`. It can also output keys in :term:`uncompressed`,
+        :term:`compressed` and :term:`hybrid` formats.
+
+        Remember that the curve identification is not part of the encoding
+        so to decode the point using :func:`~VerifyingKey.from_string`, curve
+        needs to be specified.
+
+        Note: while the method is called "to_string", it's a misnomer from
+        Python 2 days when character strings and byte strings shared type.
+        On Python 3 the returned type will be `bytes`.
+
+        :return: :term:`raw encoding` of the public key (public point) on the
+            curve
+        :rtype: bytes
+        """
+        assert encoding in ("raw", "uncompressed", "compressed", "hybrid")
+        if encoding == "raw":
+            return self._raw_encode()
+        elif encoding == "uncompressed":
+            return b('\x04') + self._raw_encode()
+        elif encoding == "hybrid":
+            return self._hybrid_encode()
+        else:
+            return self._compressed_encode()
+
+    def to_pem(self, point_encoding="uncompressed"):
+        """
+        Convert the public key to the :term:`PEM` format.
+
+        The PEM header of the key will be ``BEGIN PUBLIC KEY``.
+
+        The format of the key is described in the
+        :func:`~VerifyingKey.from_der()` method.
+        This method supports only "named curve" encoding of keys.
+
+        :param str point_encoding: specification of the encoding format
+            of public keys. "uncompressed" is most portable, "compressed" is
+            smallest. "hybrid" is uncommon and unsupported by most
+            implementations, it is as big as "uncompressed".
+
+        :return: portable encoding of the public key
+        :rtype: str
+        """
+        return der.topem(self.to_der(point_encoding), "PUBLIC KEY")
+
+    def to_der(self, point_encoding="uncompressed"):
+        """
+        Convert the public key to the :term:`DER` format.
+
+        The format of the key is described in the
+        :func:`~VerifyingKey.from_der()` method.
+        This method supports only "named curve" encoding of keys.
+
+        :param str point_encoding: specification of the encoding format
+            of public keys. "uncompressed" is most portable, "compressed" is
+            smallest. "hybrid" is uncommon and unsupported by most
+            implementations, it is as big as "uncompressed".
+
+        :return: DER encoding of the public key
+        :rtype: bytes
+        """
+        if point_encoding == "raw":
+            raise ValueError("raw point_encoding not allowed in DER")
+        point_str = self.to_string(point_encoding)
+        return der.encode_sequence(der.encode_sequence(encoded_oid_ecPublicKey,
+                                                       self.curve.encoded_oid),
+                                   # 0 is the number of unused bits in the
+                                   # bit string
+                                   der.encode_bitstring(point_str, 0))
+
+    def verify(self, signature, data, hashfunc=None,
+               sigdecode=sigdecode_string):
+        """
+        Verify a signature made over provided data.
+
+        Will hash `data` to verify the signature.
+
+        By default expects signature in :term:`raw encoding`. Can also be used
+        to verify signatures in ASN.1 DER encoding by using
+        :func:`ecdsa.util.sigdecode_der`
+        as the `sigdecode` parameter.
+
+        :param signature: encoding of the signature
+        :type signature: sigdecode method dependant
+        :param data: data signed by the `signature`, will be hashed using
+            `hashfunc`, if specified, or default hash function
+        :type data: bytes like object
+        :param hashfunc: The default hash function that will be used for
+            verification, needs to implement the same interface as hashlib.sha1
+        :type hashfunc: callable
+        :param sigdecode: Callable to define the way the signature needs to
+            be decoded to an object, needs to handle `signature` as the
+            first parameter, the curve order (an int) as the second and return
+            a tuple with two integers, "r" as the first one and "s" as the
+            second one. See :func:`ecdsa.util.sigdecode_string` and
+            :func:`ecdsa.util.sigdecode_der` for examples.
+        :type sigdecode: callable
+
+        :raises BadSignatureError: if the signature is invalid or malformed
+
+        :return: True if the verification was successful
+        :rtype: bool
+        """
+        # signature doesn't have to be a bytes-like-object so don't normalise
+        # it, the decoders will do that
+        data = normalise_bytes(data)
+
+        hashfunc = hashfunc or self.default_hashfunc
+        digest = hashfunc(data).digest()
+        return self.verify_digest(signature, digest, sigdecode, True)
+
+    def verify_digest(self, signature, digest, sigdecode=sigdecode_string,
+                      allow_truncate=False):
+        """
+        Verify a signature made over provided hash value.
+
+        By default expects signature in :term:`raw encoding`. Can also be used
+        to verify signatures in ASN.1 DER encoding by using
+        :func:`ecdsa.util.sigdecode_der`
+        as the `sigdecode` parameter.
+
+        :param signature: encoding of the signature
+        :type signature: sigdecode method dependant
+        :param digest: raw hash value that the signature authenticates.
+        :type digest: bytes like object
+        :param sigdecode: Callable to define the way the signature needs to
+            be decoded to an object, needs to handle `signature` as the
+            first parameter, the curve order (an int) as the second and return
+            a tuple with two integers, "r" as the first one and "s" as the
+            second one. See :func:`ecdsa.util.sigdecode_string` and
+            :func:`ecdsa.util.sigdecode_der` for examples.
+        :type sigdecode: callable
+        :param bool allow_truncate: if True, the provided digest can have
+            bigger bit-size than the order of the curve, the extra bits (at
+            the end of the digest) will be truncated. Use it when verifying
+            SHA-384 output using NIST256p or in similar situations.
+
+        :raises BadSignatureError: if the signature is invalid or malformed
+        :raises BadDigestError: if the provided digest is too big for the curve
+            associated with this VerifyingKey and allow_truncate was not set
+
+        :return: True if the verification was successful
+        :rtype: bool
+        """
+        # signature doesn't have to be a bytes-like-object so don't normalise
+        # it, the decoders will do that
+        digest = normalise_bytes(digest)
+        if allow_truncate:
+            digest = digest[:self.curve.baselen]
+        if len(digest) > self.curve.baselen:
+            raise BadDigestError("this curve (%s) is too short "
+                                 "for your digest (%d)" % (self.curve.name,
+                                                           8 * len(digest)))
+        number = string_to_number(digest)
+        try:
+            r, s = sigdecode(signature, self.pubkey.order)
+        except (der.UnexpectedDER, MalformedSignature) as e:
+            raise BadSignatureError("Malformed formatting of signature", e)
+        sig = ecdsa.Signature(r, s)
+        if self.pubkey.verifies(number, sig):
+            return True
+        raise BadSignatureError("Signature verification failed")
+
+
+class SigningKey(object):
+    """
+    Class for handling keys that can create signatures (private keys).
+
+    :ivar ecdsa.curves.Curve curve: The Curve over which all the cryptographic
+        operations will take place
+    :ivar default_hashfunc: the function that will be used for hashing the
+        data. Should implement the same API as hashlib.sha1
+    :ivar int baselen: the length of a :term:`raw encoding` of private key
+    :ivar ecdsa.keys.VerifyingKey verifying_key: the public key
+        associated with this private key
+    :ivar ecdsa.ecdsa.Private_key privkey: the actual private key
+    """
+
+    def __init__(self, _error__please_use_generate=None):
+        """Unsupported, please use one of the classmethods to initialise."""
+        if not _error__please_use_generate:
+            raise TypeError("Please use SigningKey.generate() to construct me")
+        self.curve = None
+        self.default_hashfunc = None
+        self.baselen = None
+        self.verifying_key = None
+        self.privkey = None
+
+    def __eq__(self, other):
+        """Return True if the points are identical, False otherwise."""
+        if isinstance(other, SigningKey):
+            return self.curve == other.curve \
+                and self.verifying_key == other.verifying_key \
+                and self.privkey == other.privkey
+        return NotImplemented
+
+    @classmethod
+    def generate(cls, curve=NIST192p, entropy=None, hashfunc=sha1):
+        """
+        Generate a random private key.
+
+        :param curve: The curve on which the point needs to reside, defaults
+            to NIST192p
+        :type curve: ecdsa.curves.Curve
+        :param entropy: Source of randomness for generating the private keys,
+            should provide cryptographically secure random numbers if the keys
+            need to be secure. Uses os.urandom() by default.
+        :type entropy: callable
+        :param hashfunc: The default hash function that will be used for
+            signing, needs to implement the same interface
+            as hashlib.sha1
+        :type hashfunc: callable
+
+        :return: Initialised SigningKey object
+        :rtype: SigningKey
+        """
+        secexp = randrange(curve.order, entropy)
+        return cls.from_secret_exponent(secexp, curve, hashfunc)
+
+    @classmethod
+    def from_secret_exponent(cls, secexp, curve=NIST192p, hashfunc=sha1):
+        """
+        Create a private key from a random integer.
+
+        Note: it's a low level method, it's recommended to use the
+        :func:`~SigningKey.generate` method to create private keys.
+
+        :param int secexp: secret multiplier (the actual private key in ECDSA).
+            Needs to be an integer between 1 and the curve order.
+        :param curve: The curve on which the point needs to reside
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            signing, needs to implement the same interface
+            as hashlib.sha1
+        :type hashfunc: callable
+
+        :raises MalformedPointError: when the provided secexp is too large
+            or too small for the curve selected
+        :raises RuntimeError: if the generation of public key from private
+            key failed
+
+        :return: Initialised SigningKey object
+        :rtype: SigningKey
+        """
+        self = cls(_error__please_use_generate=True)
+        self.curve = curve
+        self.default_hashfunc = hashfunc
+        self.baselen = curve.baselen
+        n = curve.order
+        if not 1 <= secexp < n:
+            raise MalformedPointError(
+                "Invalid value for secexp, expected integer between 1 and {0}"
+                .format(n))
+        pubkey_point = curve.generator * secexp
+        if hasattr(pubkey_point, "scale"):
+            pubkey_point = pubkey_point.scale()
+        self.verifying_key = VerifyingKey.from_public_point(pubkey_point, curve,
+                                                            hashfunc, False)
+        pubkey = self.verifying_key.pubkey
+        self.privkey = ecdsa.Private_key(pubkey, secexp)
+        self.privkey.order = n
+        return self
+
+    @classmethod
+    def from_string(cls, string, curve=NIST192p, hashfunc=sha1):
+        """
+        Decode the private key from :term:`raw encoding`.
+
+        Note: the name of this method is a misnomer coming from days of
+        Python 2, when binary strings and character strings shared a type.
+        In Python 3, the expected type is `bytes`.
+
+        :param string: the raw encoding of the private key
+        :type string: bytes like object
+        :param curve: The curve on which the point needs to reside
+        :type curve: ecdsa.curves.Curve
+        :param hashfunc: The default hash function that will be used for
+            signing, needs to implement the same interface
+            as hashlib.sha1
+        :type hashfunc: callable
+
+        :raises MalformedPointError: if the length of encoding doesn't match
+            the provided curve or the encoded values is too large
+        :raises RuntimeError: if the generation of public key from private
+            key failed
+
+        :return: Initialised SigningKey object
+        :rtype: SigningKey
+        """
+        string = normalise_bytes(string)
+        if len(string) != curve.baselen:
+            raise MalformedPointError(
+                "Invalid length of private key, received {0}, expected {1}"
+                .format(len(string), curve.baselen))
+        secexp = string_to_number(string)
+        return cls.from_secret_exponent(secexp, curve, hashfunc)
+
+    @classmethod
+    def from_pem(cls, string, hashfunc=sha1):
+        """
+        Initialise from key stored in :term:`PEM` format.
+
+        Note, the only PEM format supported is the un-encrypted RFC5915
+        (the sslay format) supported by OpenSSL, the more common PKCS#8 format
+        is NOT supported (see:
+        https://github.com/warner/python-ecdsa/issues/113 )
+
+        ``openssl ec -in pkcs8.pem -out sslay.pem`` can be used to
+        convert PKCS#8 file to this legacy format.
+
+        The legacy format files have the header with the string
+        ``BEGIN EC PRIVATE KEY``.
+        Encrypted files (ones that include the string
+        ``Proc-Type: 4,ENCRYPTED``
+        right after the PEM header) are not supported.
+
+        See :func:`~SigningKey.from_der` for ASN.1 syntax of the objects in
+        this files.
+
+        :param string: text with PEM-encoded private ECDSA key
+        :type string: str
+
+        :raises MalformedPointError: if the length of encoding doesn't match
+            the provided curve or the encoded values is too large
+        :raises RuntimeError: if the generation of public key from private
+            key failed
+        :raises UnexpectedDER: if the encoding of the PEM file is incorrect
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        # the privkey pem may have multiple sections, commonly it also has
+        # "EC PARAMETERS", we need just "EC PRIVATE KEY".
+        if PY3 and isinstance(string, str):
+            string = string.encode()
+        privkey_pem = string[string.index(b("-----BEGIN EC PRIVATE KEY-----")):]
+        return cls.from_der(der.unpem(privkey_pem), hashfunc)
+
+    @classmethod
+    def from_der(cls, string, hashfunc=sha1):
+        """
+        Initialise from key stored in :term:`DER` format.
+
+        Note, the only DER format supported is the RFC5915
+        (the sslay format) supported by OpenSSL, the more common PKCS#8 format
+        is NOT supported (see:
+        https://github.com/warner/python-ecdsa/issues/113 )
+
+        ``openssl ec -in pkcs8.pem -outform der -out sslay.der`` can be
+        used to convert PKCS#8 file to this legacy format.
+
+        The encoding of the ASN.1 object in those files follows following
+        syntax specified in RFC5915::
+
+            ECPrivateKey ::= SEQUENCE {
+              version        INTEGER { ecPrivkeyVer1(1) }} (ecPrivkeyVer1),
+              privateKey     OCTET STRING,
+              parameters [0] ECParameters {{ NamedCurve }} OPTIONAL,
+              publicKey  [1] BIT STRING OPTIONAL
+            }
+
+        The only format supported for the `parameters` field is the named
+        curve method. Explicit encoding of curve parameters is not supported.
+
+        While `parameters` field is defined as optional, this implementation
+        requires its presence for correct parsing of the keys.
+
+        `publicKey` field is ignored completely (errors, if any, in it will
+        be undetected).
+
+        :param string: binary string with DER-encoded private ECDSA key
+        :type string: bytes like object
+
+        :raises MalformedPointError: if the length of encoding doesn't match
+            the provided curve or the encoded values is too large
+        :raises RuntimeError: if the generation of public key from private
+            key failed
+        :raises UnexpectedDER: if the encoding of the DER file is incorrect
+
+        :return: Initialised VerifyingKey object
+        :rtype: VerifyingKey
+        """
+        string = normalise_bytes(string)
+        s, empty = der.remove_sequence(string)
+        if empty != b(""):
+            raise der.UnexpectedDER("trailing junk after DER privkey: %s" %
+                                    binascii.hexlify(empty))
+        one, s = der.remove_integer(s)
+        if one != 1:
+            raise der.UnexpectedDER("expected '1' at start of DER privkey,"
+                                    " got %d" % one)
+        privkey_str, s = der.remove_octet_string(s)
+        tag, curve_oid_str, s = der.remove_constructed(s)
+        if tag != 0:
+            raise der.UnexpectedDER("expected tag 0 in DER privkey,"
+                                    " got %d" % tag)
+        curve_oid, empty = der.remove_object(curve_oid_str)
+        if empty != b(""):
+            raise der.UnexpectedDER("trailing junk after DER privkey "
+                                    "curve_oid: %s" % binascii.hexlify(empty))
+        curve = find_curve(curve_oid)
+
+        # we don't actually care about the following fields
+        #
+        # tag, pubkey_bitstring, s = der.remove_constructed(s)
+        # if tag != 1:
+        #     raise der.UnexpectedDER("expected tag 1 in DER privkey, got %d"
+        #                             % tag)
+        # pubkey_str = der.remove_bitstring(pubkey_bitstring, 0)
+        # if empty != "":
+        #     raise der.UnexpectedDER("trailing junk after DER privkey "
+        #                             "pubkeystr: %s" % binascii.hexlify(empty))
+
+        # our from_string method likes fixed-length privkey strings
+        if len(privkey_str) < curve.baselen:
+            privkey_str = b("\x00") * (curve.baselen - len(privkey_str)) + privkey_str
+        return cls.from_string(privkey_str, curve, hashfunc)
+
+    def to_string(self):
+        """
+        Convert the private key to :term:`raw encoding`.
+
+        Note: while the method is named "to_string", its name comes from
+        Python 2 days, when binary and character strings used the same type.
+        The type used in Python 3 is `bytes`.
+
+        :return: raw encoding of private key
+        :rtype: bytes
+        """
+        secexp = self.privkey.secret_multiplier
+        s = number_to_string(secexp, self.privkey.order)
+        return s
+
+    def to_pem(self, point_encoding="uncompressed"):
+        """
+        Convert the private key to the :term:`PEM` format.
+
+        See :func:`~SigningKey.from_pem` method for format description.
+
+        Only the named curve format is supported.
+        The public key will be included in generated string.
+
+        The PEM header will specify ``BEGIN EC PRIVATE KEY``
+
+        :param str point_encoding: format to use for encoding public point
+
+        :return: PEM encoded private key
+        :rtype: str
+        """
+        # TODO: "BEGIN ECPARAMETERS"
+        return der.topem(self.to_der(point_encoding), "EC PRIVATE KEY")
+
+    def to_der(self, point_encoding="uncompressed"):
+        """
+        Convert the private key to the :term:`DER` format.
+
+        See :func:`~SigningKey.from_der` method for format specification.
+
+        Only the named curve format is supported.
+        The public key will be included in the generated string.
+
+        :param str point_encoding: format to use for encoding public point
+
+        :return: DER encoded private key
+        :rtype: bytes
+        """
+        # SEQ([int(1), octetstring(privkey),cont[0], oid(secp224r1),
+        #      cont[1],bitstring])
+        if point_encoding == "raw":
+            raise ValueError("raw encoding not allowed in DER")
+        encoded_vk = self.get_verifying_key().to_string(point_encoding)
+        # the 0 in encode_bitstring specifies the number of unused bits
+        # in the `encoded_vk` string
+        return der.encode_sequence(
+            der.encode_integer(1),
+            der.encode_octet_string(self.to_string()),
+            der.encode_constructed(0, self.curve.encoded_oid),
+            der.encode_constructed(1, der.encode_bitstring(encoded_vk, 0)))
+
+    def get_verifying_key(self):
+        """
+        Return the VerifyingKey associated with this private key.
+
+        Equivalent to reading the `verifying_key` field of an instance.
+
+        :return: a public key that can be used to verify the signatures made
+            with this SigningKey
+        :rtype: VerifyingKey
+        """
+        return self.verifying_key
+
+    def sign_deterministic(self, data, hashfunc=None,
+                           sigencode=sigencode_string,
+                           extra_entropy=b''):
+        """
+        Create signature over data using the deterministic RFC6679 algorithm.
+
+        The data will be hashed using the `hashfunc` function before signing.
+
+        This is the recommended method for performing signatures when hashing
+        of data is necessary.
+
+        :param data: data to be hashed and computed signature over
+        :type data: bytes like object
+        :param hashfunc: hash function to use for computing the signature,
+            if unspecified, the default hash function selected during
+            object initialisation will be used (see
+            `VerifyingKey.default_hashfunc`). The object needs to implement
+            the same interface as hashlib.sha1.
+        :type hashfunc: callable
+        :param sigencode: function used to encode the signature.
+            The function needs to accept three parameters: the two integers
+            that are the signature and the order of the curve over which the
+            signature was computed. It needs to return an encoded signature.
+            See `ecdsa.util.sigencode_string` and `ecdsa.util.sigencode_der`
+            as examples of such functions.
+        :type sigencode: callable
+        :param extra_entropy: additional data that will be fed into the random
+            number generator used in the RFC6979 process. Entirely optional.
+        :type extra_entropy: bytes like object
+
+        :return: encoded signature over `data`
+        :rtype: bytes or sigencode function dependant type
+        """
+        hashfunc = hashfunc or self.default_hashfunc
+        data = normalise_bytes(data)
+        extra_entropy = normalise_bytes(extra_entropy)
+        digest = hashfunc(data).digest()
+
+        return self.sign_digest_deterministic(
+            digest, hashfunc=hashfunc, sigencode=sigencode,
+            extra_entropy=extra_entropy, allow_truncate=True)
+
+    def sign_digest_deterministic(self, digest, hashfunc=None,
+                                  sigencode=sigencode_string,
+                                  extra_entropy=b'', allow_truncate=False):
+        """
+        Create signature for digest using the deterministic RFC6679 algorithm.
+
+        `digest` should be the output of cryptographically secure hash function
+        like SHA256 or SHA-3-256.
+
+        This is the recommended method for performing signatures when no
+        hashing of data is necessary.
+
+        :param digest: hash of data that will be signed
+        :type digest: bytes like object
+        :param hashfunc: hash function to use for computing the random "k"
+            value from RFC6979 process,
+            if unspecified, the default hash function selected during
+            object initialisation will be used (see
+            `VerifyingKey.default_hashfunc`). The object needs to implement
+            the same interface as hashlib.sha1.
+        :type hashfunc: callable
+        :param sigencode: function used to encode the signature.
+            The function needs to accept three parameters: the two integers
+            that are the signature and the order of the curve over which the
+            signature was computed. It needs to return an encoded signature.
+            See `ecdsa.util.sigencode_string` and `ecdsa.util.sigencode_der`
+            as examples of such functions.
+        :type sigencode: callable
+        :param extra_entropy: additional data that will be fed into the random
+            number generator used in the RFC6979 process. Entirely optional.
+        :type extra_entropy: bytes like object
+        :param bool allow_truncate: if True, the provided digest can have
+            bigger bit-size than the order of the curve, the extra bits (at
+            the end of the digest) will be truncated. Use it when signing
+            SHA-384 output using NIST256p or in similar situations.
+
+        :return: encoded signature for the `digest` hash
+        :rtype: bytes or sigencode function dependant type
+        """
+        secexp = self.privkey.secret_multiplier
+        hashfunc = hashfunc or self.default_hashfunc
+        digest = normalise_bytes(digest)
+        extra_entropy = normalise_bytes(extra_entropy)
+
+        def simple_r_s(r, s, order):
+            return r, s, order
+
+        retry_gen = 0
+        while True:
+            k = rfc6979.generate_k(
+                self.curve.generator.order(), secexp, hashfunc, digest,
+                retry_gen=retry_gen, extra_entropy=extra_entropy)
+            try:
+                r, s, order = self.sign_digest(digest,
+                                               sigencode=simple_r_s,
+                                               k=k,
+                                               allow_truncate=allow_truncate)
+                break
+            except RSZeroError:
+                retry_gen += 1
+
+        return sigencode(r, s, order)
+
+    def sign(self, data, entropy=None, hashfunc=None,
+             sigencode=sigencode_string, k=None):
+        """
+        Create signature over data using the probabilistic ECDSA algorithm.
+
+        This method uses the standard ECDSA algorithm that requires a
+        cryptographically secure random number generator.
+
+        It's recommended to use the :func:`~SigningKey.sign_deterministic`
+        method instead of this one.
+
+        :param data: data that will be hashed for signing
+        :type data: bytes like object
+        :param callable entropy: randomness source, os.urandom by default
+        :param hashfunc: hash function to use for hashing the provided `data`.
+            If unspecified the default hash function selected during
+            object initialisation will be used (see
+            `VerifyingKey.default_hashfunc`).
+            Should behave like hashlib.sha1. The output length of the
+            hash (in bytes) must not be longer than the length of the curve
+            order (rounded up to the nearest byte), so using SHA256 with
+            NIST256p is ok, but SHA256 with NIST192p is not. (In the 2**-96ish
+            unlikely event of a hash output larger than the curve order, the
+            hash will effectively be wrapped mod n).
+            Use hashfunc=hashlib.sha1 to match openssl's -ecdsa-with-SHA1 mode,
+            or hashfunc=hashlib.sha256 for openssl-1.0.0's -ecdsa-with-SHA256.
+        :type hashfunc: callable
+        :param sigencode: function used to encode the signature.
+            The function needs to accept three parameters: the two integers
+            that are the signature and the order of the curve over which the
+            signature was computed. It needs to return an encoded signature.
+            See `ecdsa.util.sigencode_string` and `ecdsa.util.sigencode_der`
+            as examples of such functions.
+        :type sigencode: callable
+        :param int k: a pre-selected nonce for calculating the signature.
+            In typical use cases, it should be set to None (the default) to
+            allow its generation from an entropy source.
+
+        :raises RSZeroError: in the unlikely event when "r" parameter or
+            "s" parameter is equal 0 as that would leak the key. Calee should
+            try a better entropy source or different 'k' in such case.
+
+        :return: encoded signature of the hash of `data`
+        :rtype: bytes or sigencode function dependant type
+        """
+        hashfunc = hashfunc or self.default_hashfunc
+        data = normalise_bytes(data)
+        h = hashfunc(data).digest()
+        return self.sign_digest(h, entropy, sigencode, k, allow_truncate=True)
+
+    def sign_digest(self, digest, entropy=None, sigencode=sigencode_string,
+                    k=None, allow_truncate=False):
+        """
+        Create signature over digest using the probabilistic ECDSA algorithm.
+
+        This method uses the standard ECDSA algorithm that requires a
+        cryptographically secure random number generator.
+
+        This method does not hash the input.
+
+        It's recommended to use the
+        :func:`~SigningKey.sign_digest_deterministic` method
+        instead of this one.
+
+        :param digest: hash value that will be signed
+        :type digest: bytes like object
+        :param callable entropy: randomness source, os.urandom by default
+        :param sigencode: function used to encode the signature.
+            The function needs to accept three parameters: the two integers
+            that are the signature and the order of the curve over which the
+            signature was computed. It needs to return an encoded signature.
+            See `ecdsa.util.sigencode_string` and `ecdsa.util.sigencode_der`
+            as examples of such functions.
+        :type sigencode: callable
+        :param int k: a pre-selected nonce for calculating the signature.
+            In typical use cases, it should be set to None (the default) to
+            allow its generation from an entropy source.
+        :param bool allow_truncate: if True, the provided digest can have
+            bigger bit-size than the order of the curve, the extra bits (at
+            the end of the digest) will be truncated. Use it when signing
+            SHA-384 output using NIST256p or in similar situations.
+
+        :raises RSZeroError: in the unlikely event when "r" parameter or
+            "s" parameter is equal 0 as that would leak the key. Calee should
+            try a better entropy source in such case.
+
+        :return: encoded signature for the `digest` hash
+        :rtype: bytes or sigencode function dependant type
+        """
+        digest = normalise_bytes(digest)
+        if allow_truncate:
+            digest = digest[:self.curve.baselen]
+        if len(digest) > self.curve.baselen:
+            raise BadDigestError("this curve (%s) is too short "
+                                 "for your digest (%d)" % (self.curve.name,
+                                                           8 * len(digest)))
+        number = string_to_number(digest)
+        r, s = self.sign_number(number, entropy, k)
+        return sigencode(r, s, self.privkey.order)
+
+    def sign_number(self, number, entropy=None, k=None):
+        """
+        Sign an integer directly.
+
+        Note, this is a low level method, usually you will want to use
+        :func:`~SigningKey.sign_deterministic` or
+        :func:`~SigningKey.sign_digest_deterministic`.
+
+        :param int number: number to sign using the probabilistic ECDSA
+            algorithm.
+        :param callable entropy: entropy source, os.urandom by default
+        :param int k: pre-selected nonce for signature operation. If unset
+            it will be selected at random using the entropy source.
+
+        :raises RSZeroError: in the unlikely event when "r" parameter or
+            "s" parameter is equal 0 as that would leak the key. Calee should
+            try a different 'k' in such case.
+
+        :return: the "r" and "s" parameters of the signature
+        :rtype: tuple of ints
+        """
+        order = self.privkey.order
+
+        if k is not None:
+            _k = k
+        else:
+            _k = randrange(order, entropy)
+
+        assert 1 <= _k < order
+        sig = self.privkey.sign(number, _k)
+        return sig.r, sig.s
diff --git a/third_party/python/ecdsa/ecdsa/numbertheory.py b/third_party/python/ecdsa/ecdsa/numbertheory.py
new file mode 100644
index 0000000000..b300440c59
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/numbertheory.py
@@ -0,0 +1,600 @@
+#! /usr/bin/env python
+#
+# Provide some simple capabilities from number theory.
+#
+# Version of 2008.11.14.
+#
+# Written in 2005 and 2006 by Peter Pearson and placed in the public domain.
+# Revision history:
+#   2008.11.14: Use pow(base, exponent, modulus) for modular_exp.
+#               Make gcd and lcm accept arbitrarly many arguments.
+
+from __future__ import division
+
+from six import integer_types, PY3
+from six.moves import reduce
+try:
+    xrange
+except NameError:
+    xrange = range
+try:
+    from gmpy2 import powmod
+    GMPY2 = True
+    GMPY = False
+except ImportError:
+    GMPY2 = False
+    try:
+        from gmpy import mpz
+        GMPY = True
+    except ImportError:
+        GMPY = False
+
+import math
+import warnings
+
+
+class Error(Exception):
+  """Base class for exceptions in this module."""
+  pass
+
+
+class SquareRootError(Error):
+  pass
+
+
+class NegativeExponentError(Error):
+  pass
+
+
+def modular_exp(base, exponent, modulus):  # pragma: no cover
+    """Raise base to exponent, reducing by modulus"""
+    # deprecated in 0.14
+    warnings.warn("Function is unused in library code. If you use this code, "
+                  "change to pow() builtin.", DeprecationWarning)
+    if exponent < 0:
+        raise NegativeExponentError("Negative exponents (%d) not allowed"
+                                    % exponent)
+    return pow(base, exponent, modulus)
+
+
+def polynomial_reduce_mod(poly, polymod, p):
+  """Reduce poly by polymod, integer arithmetic modulo p.
+
+  Polynomials are represented as lists of coefficients
+  of increasing powers of x."""
+
+  # This module has been tested only by extensive use
+  # in calculating modular square roots.
+
+  # Just to make this easy, require a monic polynomial:
+  assert polymod[-1] == 1
+
+  assert len(polymod) > 1
+
+  while len(poly) >= len(polymod):
+    if poly[-1] != 0:
+      for i in xrange(2, len(polymod) + 1):
+        poly[-i] = (poly[-i] - poly[-1] * polymod[-i]) % p
+    poly = poly[0:-1]
+
+  return poly
+
+
+def polynomial_multiply_mod(m1, m2, polymod, p):
+  """Polynomial multiplication modulo a polynomial over ints mod p.
+
+  Polynomials are represented as lists of coefficients
+  of increasing powers of x."""
+
+  # This is just a seat-of-the-pants implementation.
+
+  # This module has been tested only by extensive use
+  # in calculating modular square roots.
+
+  # Initialize the product to zero:
+
+  prod = (len(m1) + len(m2) - 1) * [0]
+
+  # Add together all the cross-terms:
+
+  for i in xrange(len(m1)):
+    for j in xrange(len(m2)):
+      prod[i + j] = (prod[i + j] + m1[i] * m2[j]) % p
+
+  return polynomial_reduce_mod(prod, polymod, p)
+
+
+def polynomial_exp_mod(base, exponent, polymod, p):
+  """Polynomial exponentiation modulo a polynomial over ints mod p.
+
+  Polynomials are represented as lists of coefficients
+  of increasing powers of x."""
+
+  # Based on the Handbook of Applied Cryptography, algorithm 2.227.
+
+  # This module has been tested only by extensive use
+  # in calculating modular square roots.
+
+  assert exponent < p
+
+  if exponent == 0:
+    return [1]
+
+  G = base
+  k = exponent
+  if k % 2 == 1:
+    s = G
+  else:
+    s = [1]
+
+  while k > 1:
+    k = k // 2
+    G = polynomial_multiply_mod(G, G, polymod, p)
+    if k % 2 == 1:
+      s = polynomial_multiply_mod(G, s, polymod, p)
+
+  return s
+
+
+def jacobi(a, n):
+  """Jacobi symbol"""
+
+  # Based on the Handbook of Applied Cryptography (HAC), algorithm 2.149.
+
+  # This function has been tested by comparison with a small
+  # table printed in HAC, and by extensive use in calculating
+  # modular square roots.
+
+  assert n >= 3
+  assert n % 2 == 1
+  a = a % n
+  if a == 0:
+    return 0
+  if a == 1:
+    return 1
+  a1, e = a, 0
+  while a1 % 2 == 0:
+    a1, e = a1 // 2, e + 1
+  if e % 2 == 0 or n % 8 == 1 or n % 8 == 7:
+    s = 1
+  else:
+    s = -1
+  if a1 == 1:
+    return s
+  if n % 4 == 3 and a1 % 4 == 3:
+    s = -s
+  return s * jacobi(n % a1, a1)
+
+
+def square_root_mod_prime(a, p):
+  """Modular square root of a, mod p, p prime."""
+
+  # Based on the Handbook of Applied Cryptography, algorithms 3.34 to 3.39.
+
+  # This module has been tested for all values in [0,p-1] for
+  # every prime p from 3 to 1229.
+
+  assert 0 <= a < p
+  assert 1 < p
+
+  if a == 0:
+    return 0
+  if p == 2:
+    return a
+
+  jac = jacobi(a, p)
+  if jac == -1:
+    raise SquareRootError("%d has no square root modulo %d" \
+                          % (a, p))
+
+  if p % 4 == 3:
+    return pow(a, (p + 1) // 4, p)
+
+  if p % 8 == 5:
+    d = pow(a, (p - 1) // 4, p)
+    if d == 1:
+      return pow(a, (p + 3) // 8, p)
+    if d == p - 1:
+      return (2 * a * pow(4 * a, (p - 5) // 8, p)) % p
+    raise RuntimeError("Shouldn't get here.")
+
+  if PY3:
+    range_top = p
+  else:
+    # xrange on python2 can take integers representable as C long only
+    range_top = min(0x7fffffff, p)
+  for b in xrange(2, range_top):
+    if jacobi(b * b - 4 * a, p) == -1:
+      f = (a, -b, 1)
+      ff = polynomial_exp_mod((0, 1), (p + 1) // 2, f, p)
+      assert ff[1] == 0
+      return ff[0]
+  raise RuntimeError("No b found.")
+
+
+if GMPY2:
+    def inverse_mod(a, m):
+        """Inverse of a mod m."""
+        if a == 0:
+            return 0
+        return powmod(a, -1, m)
+elif GMPY:
+    def inverse_mod(a, m):
+        """Inverse of a mod m."""
+        # while libgmp likely does support inverses modulo, it is accessible
+        # only using the native `pow()` function, and `pow()` sanity checks
+        # the parameters before passing them on to underlying implementation
+        # on Python2
+        if a == 0:
+            return 0
+        a = mpz(a)
+        m = mpz(m)
+
+        lm, hm = mpz(1), mpz(0)
+        low, high = a % m, m
+        while low > 1:
+            r = high // low
+            lm, low, hm, high = hm - lm * r, high - low * r, lm, low
+
+        return lm % m
+else:
+    def inverse_mod(a, m):
+        """Inverse of a mod m."""
+
+        if a == 0:
+            return 0
+
+        lm, hm = 1, 0
+        low, high = a % m, m
+        while low > 1:
+            r = high // low
+            lm, low, hm, high = hm - lm * r, high - low * r, lm, low
+
+        return lm % m
+
+
+try:
+    gcd2 = math.gcd
+except AttributeError:
+    def gcd2(a, b):
+        """Greatest common divisor using Euclid's algorithm."""
+        while a:
+            a, b = b % a, a
+        return b
+
+
+def gcd(*a):
+  """Greatest common divisor.
+
+  Usage: gcd([ 2, 4, 6 ])
+  or:    gcd(2, 4, 6)
+  """
+
+  if len(a) > 1:
+    return reduce(gcd2, a)
+  if hasattr(a[0], "__iter__"):
+    return reduce(gcd2, a[0])
+  return a[0]
+
+
+def lcm2(a, b):
+  """Least common multiple of two integers."""
+
+  return (a * b) // gcd(a, b)
+
+
+def lcm(*a):
+  """Least common multiple.
+
+  Usage: lcm([ 3, 4, 5 ])
+  or:    lcm(3, 4, 5)
+  """
+
+  if len(a) > 1:
+    return reduce(lcm2, a)
+  if hasattr(a[0], "__iter__"):
+    return reduce(lcm2, a[0])
+  return a[0]
+
+
+def factorization(n):
+  """Decompose n into a list of (prime,exponent) pairs."""
+
+  assert isinstance(n, integer_types)
+
+  if n < 2:
+    return []
+
+  result = []
+  d = 2
+
+  # Test the small primes:
+
+  for d in smallprimes:
+    if d > n:
+      break
+    q, r = divmod(n, d)
+    if r == 0:
+      count = 1
+      while d <= n:
+        n = q
+        q, r = divmod(n, d)
+        if r != 0:
+          break
+        count = count + 1
+      result.append((d, count))
+
+  # If n is still greater than the last of our small primes,
+  # it may require further work:
+
+  if n > smallprimes[-1]:
+    if is_prime(n):   # If what's left is prime, it's easy:
+      result.append((n, 1))
+    else:               # Ugh. Search stupidly for a divisor:
+      d = smallprimes[-1]
+      while 1:
+        d = d + 2               # Try the next divisor.
+        q, r = divmod(n, d)
+        if q < d:               # n < d*d means we're done, n = 1 or prime.
+          break
+        if r == 0:              # d divides n. How many times?
+          count = 1
+          n = q
+          while d <= n:               # As long as d might still divide n,
+            q, r = divmod(n, d)       # see if it does.
+            if r != 0:
+              break
+            n = q                     # It does. Reduce n, increase count.
+            count = count + 1
+          result.append((d, count))
+      if n > 1:
+        result.append((n, 1))
+
+  return result
+
+
+def phi(n):  # pragma: no cover
+  """Return the Euler totient function of n."""
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  assert isinstance(n, integer_types)
+
+  if n < 3:
+    return 1
+
+  result = 1
+  ff = factorization(n)
+  for f in ff:
+    e = f[1]
+    if e > 1:
+      result = result * f[0] ** (e - 1) * (f[0] - 1)
+    else:
+      result = result * (f[0] - 1)
+  return result
+
+
+def carmichael(n):  # pragma: no cover
+  """Return Carmichael function of n.
+
+  Carmichael(n) is the smallest integer x such that
+  m**x = 1 mod n for all m relatively prime to n.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  return carmichael_of_factorized(factorization(n))
+
+
+def carmichael_of_factorized(f_list):  # pragma: no cover
+  """Return the Carmichael function of a number that is
+  represented as a list of (prime,exponent) pairs.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  if len(f_list) < 1:
+    return 1
+
+  result = carmichael_of_ppower(f_list[0])
+  for i in xrange(1, len(f_list)):
+    result = lcm(result, carmichael_of_ppower(f_list[i]))
+
+  return result
+
+
+def carmichael_of_ppower(pp):  # pragma: no cover
+  """Carmichael function of the given power of the given prime.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  p, a = pp
+  if p == 2 and a > 2:
+    return 2**(a - 2)
+  else:
+    return (p - 1) * p**(a - 1)
+
+
+def order_mod(x, m):  # pragma: no cover
+  """Return the order of x in the multiplicative group mod m.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  # Warning: this implementation is not very clever, and will
+  # take a long time if m is very large.
+
+  if m <= 1:
+    return 0
+
+  assert gcd(x, m) == 1
+
+  z = x
+  result = 1
+  while z != 1:
+    z = (z * x) % m
+    result = result + 1
+  return result
+
+
+def largest_factor_relatively_prime(a, b):  # pragma: no cover
+  """Return the largest factor of a relatively prime to b.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  while 1:
+    d = gcd(a, b)
+    if d <= 1:
+      break
+    b = d
+    while 1:
+      q, r = divmod(a, d)
+      if r > 0:
+        break
+      a = q
+  return a
+
+
+def kinda_order_mod(x, m):  # pragma: no cover
+  """Return the order of x in the multiplicative group mod m',
+  where m' is the largest factor of m relatively prime to x.
+  """
+  # deprecated in 0.14
+  warnings.warn("Function is unused by library code. If you use this code, "
+                "please open an issue in "
+                "https://github.com/warner/python-ecdsa",
+                DeprecationWarning)
+
+  return order_mod(x, largest_factor_relatively_prime(m, x))
+
+
+def is_prime(n):
+  """Return True if x is prime, False otherwise.
+
+  We use the Miller-Rabin test, as given in Menezes et al. p. 138.
+  This test is not exact: there are composite values n for which
+  it returns True.
+
+  In testing the odd numbers from 10000001 to 19999999,
+  about 66 composites got past the first test,
+  5 got past the second test, and none got past the third.
+  Since factors of 2, 3, 5, 7, and 11 were detected during
+  preliminary screening, the number of numbers tested by
+  Miller-Rabin was (19999999 - 10000001)*(2/3)*(4/5)*(6/7)
+  = 4.57 million.
+  """
+
+  # (This is used to study the risk of false positives:)
+  global miller_rabin_test_count
+
+  miller_rabin_test_count = 0
+
+  if n <= smallprimes[-1]:
+    if n in smallprimes:
+      return True
+    else:
+      return False
+
+  if gcd(n, 2 * 3 * 5 * 7 * 11) != 1:
+    return False
+
+  # Choose a number of iterations sufficient to reduce the
+  # probability of accepting a composite below 2**-80
+  # (from Menezes et al. Table 4.4):
+
+  t = 40
+  n_bits = 1 + int(math.log(n, 2))
+  for k, tt in ((100, 27),
+                (150, 18),
+                (200, 15),
+                (250, 12),
+                (300, 9),
+                (350, 8),
+                (400, 7),
+                (450, 6),
+                (550, 5),
+                (650, 4),
+                (850, 3),
+                (1300, 2),
+                ):
+    if n_bits < k:
+      break
+    t = tt
+
+  # Run the test t times:
+
+  s = 0
+  r = n - 1
+  while (r % 2) == 0:
+    s = s + 1
+    r = r // 2
+  for i in xrange(t):
+    a = smallprimes[i]
+    y = pow(a, r, n)
+    if y != 1 and y != n - 1:
+      j = 1
+      while j <= s - 1 and y != n - 1:
+        y = pow(y, 2, n)
+        if y == 1:
+          miller_rabin_test_count = i + 1
+          return False
+        j = j + 1
+      if y != n - 1:
+        miller_rabin_test_count = i + 1
+        return False
+  return True
+
+
+def next_prime(starting_value):
+  "Return the smallest prime larger than the starting value."
+
+  if starting_value < 2:
+    return 2
+  result = (starting_value + 1) | 1
+  while not is_prime(result):
+    result = result + 2
+  return result
+
+
+smallprimes = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,
+               43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
+               101, 103, 107, 109, 113, 127, 131, 137, 139, 149,
+               151, 157, 163, 167, 173, 179, 181, 191, 193, 197,
+               199, 211, 223, 227, 229, 233, 239, 241, 251, 257,
+               263, 269, 271, 277, 281, 283, 293, 307, 311, 313,
+               317, 331, 337, 347, 349, 353, 359, 367, 373, 379,
+               383, 389, 397, 401, 409, 419, 421, 431, 433, 439,
+               443, 449, 457, 461, 463, 467, 479, 487, 491, 499,
+               503, 509, 521, 523, 541, 547, 557, 563, 569, 571,
+               577, 587, 593, 599, 601, 607, 613, 617, 619, 631,
+               641, 643, 647, 653, 659, 661, 673, 677, 683, 691,
+               701, 709, 719, 727, 733, 739, 743, 751, 757, 761,
+               769, 773, 787, 797, 809, 811, 821, 823, 827, 829,
+               839, 853, 857, 859, 863, 877, 881, 883, 887, 907,
+               911, 919, 929, 937, 941, 947, 953, 967, 971, 977,
+               983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033,
+               1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093,
+               1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163,
+               1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229]
+
+miller_rabin_test_count = 0
diff --git a/third_party/python/ecdsa/ecdsa/rfc6979.py b/third_party/python/ecdsa/ecdsa/rfc6979.py
new file mode 100644
index 0000000000..a48938123d
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/rfc6979.py
@@ -0,0 +1,107 @@
+'''
+RFC 6979:
+    Deterministic Usage of the Digital Signature Algorithm (DSA) and
+    Elliptic Curve Digital Signature Algorithm (ECDSA)
+
+    http://tools.ietf.org/html/rfc6979
+
+Many thanks to Coda Hale for his implementation in Go language:
+    https://github.com/codahale/rfc6979
+'''
+
+import hmac
+from binascii import hexlify
+from .util import number_to_string, number_to_string_crop, bit_length
+from ._compat import hmac_compat
+
+
+# bit_length was defined in this module previously so keep it for backwards
+# compatibility, will need to deprecate and remove it later
+__all__ = ["bit_length", "bits2int", "bits2octets", "generate_k"]
+
+
+def bits2int(data, qlen):
+    x = int(hexlify(data), 16)
+    l = len(data) * 8
+
+    if l > qlen:
+        return x >> (l - qlen)
+    return x
+
+
+def bits2octets(data, order):
+    z1 = bits2int(data, bit_length(order))
+    z2 = z1 - order
+
+    if z2 < 0:
+        z2 = z1
+
+    return number_to_string_crop(z2, order)
+
+
+# https://tools.ietf.org/html/rfc6979#section-3.2
+def generate_k(order, secexp, hash_func, data, retry_gen=0, extra_entropy=b''):
+    '''
+        order - order of the DSA generator used in the signature
+        secexp - secure exponent (private key) in numeric form
+        hash_func - reference to the same hash function used for generating hash
+        data - hash in binary form of the signing data
+        retry_gen - int - how many good 'k' values to skip before returning
+        extra_entropy - extra added data in binary form as per section-3.6 of
+            rfc6979
+    '''
+
+    qlen = bit_length(order)
+    holen = hash_func().digest_size
+    rolen = (qlen + 7) / 8
+    bx = (hmac_compat(number_to_string(secexp, order)),
+          hmac_compat(bits2octets(data, order)),
+          hmac_compat(extra_entropy))
+
+    # Step B
+    v = b'\x01' * holen
+
+    # Step C
+    k = b'\x00' * holen
+
+    # Step D
+
+    k = hmac.new(k, digestmod=hash_func)
+    k.update(v + b'\x00')
+    for i in bx:
+        k.update(i)
+    k = k.digest()
+
+    # Step E
+    v = hmac.new(k, v, hash_func).digest()
+
+    # Step F
+    k = hmac.new(k, digestmod=hash_func)
+    k.update(v + b'\x01')
+    for i in bx:
+        k.update(i)
+    k = k.digest()
+
+    # Step G
+    v = hmac.new(k, v, hash_func).digest()
+
+    # Step H
+    while True:
+        # Step H1
+        t = b''
+
+        # Step H2
+        while len(t) < rolen:
+            v = hmac.new(k, v, hash_func).digest()
+            t += v
+
+        # Step H3
+        secret = bits2int(t, qlen)
+
+        if 1 <= secret < order:
+            if retry_gen <= 0:
+                return secret
+            retry_gen -= 1
+
+        k = hmac.new(k, v + b'\x00', hash_func).digest()
+        v = hmac.new(k, v, hash_func).digest()
diff --git a/third_party/python/ecdsa/ecdsa/test_der.py b/third_party/python/ecdsa/ecdsa/test_der.py
new file mode 100644
index 0000000000..e6cd593d3e
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_der.py
@@ -0,0 +1,384 @@
+
+# compatibility with Python 2.6, for that we need unittest2 package,
+# which is not available on 3.3 or 3.4
+import warnings
+from binascii import hexlify
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+from six import b
+import hypothesis.strategies as st
+from hypothesis import given, example
+import pytest
+from ._compat import str_idx_as_int
+from .curves import NIST256p, NIST224p
+from .der import remove_integer, UnexpectedDER, read_length, encode_bitstring,\
+        remove_bitstring, remove_object, encode_oid
+
+
+class TestRemoveInteger(unittest.TestCase):
+    # DER requires the integers to be 0-padded only if they would be
+    # interpreted as negative, check if those errors are detected
+    def test_non_minimal_encoding(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_integer(b('\x02\x02\x00\x01'))
+
+    def test_negative_with_high_bit_set(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_integer(b('\x02\x01\x80'))
+
+    def test_minimal_with_high_bit_set(self):
+        val, rem = remove_integer(b('\x02\x02\x00\x80'))
+
+        self.assertEqual(val, 0x80)
+        self.assertFalse(rem)
+
+    def test_two_zero_bytes_with_high_bit_set(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_integer(b('\x02\x03\x00\x00\xff'))
+
+    def test_zero_length_integer(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_integer(b('\x02\x00'))
+
+    def test_empty_string(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_integer(b(''))
+
+    def test_encoding_of_zero(self):
+        val, rem = remove_integer(b('\x02\x01\x00'))
+
+        self.assertEqual(val, 0)
+        self.assertFalse(rem)
+
+    def test_encoding_of_127(self):
+        val, rem = remove_integer(b('\x02\x01\x7f'))
+
+        self.assertEqual(val, 127)
+        self.assertFalse(rem)
+
+    def test_encoding_of_128(self):
+        val, rem = remove_integer(b('\x02\x02\x00\x80'))
+
+        self.assertEqual(val, 128)
+        self.assertFalse(rem)
+
+
+class TestReadLength(unittest.TestCase):
+    # DER requires the lengths between 0 and 127 to be encoded using the short
+    # form and lengths above that encoded with minimal number of bytes
+    # necessary
+    def test_zero_length(self):
+        self.assertEqual((0, 1), read_length(b('\x00')))
+
+    def test_two_byte_zero_length(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b('\x81\x00'))
+
+    def test_two_byte_small_length(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b('\x81\x7f'))
+
+    def test_long_form_with_zero_length(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b('\x80'))
+
+    def test_smallest_two_byte_length(self):
+        self.assertEqual((128, 2), read_length(b('\x81\x80')))
+
+    def test_zero_padded_length(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b('\x82\x00\x80'))
+
+    def test_two_three_byte_length(self):
+        self.assertEqual((256, 3), read_length(b'\x82\x01\x00'))
+
+    def test_empty_string(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b(''))
+
+    def test_length_overflow(self):
+        with self.assertRaises(UnexpectedDER):
+            read_length(b('\x83\x01\x00'))
+
+
+class TestEncodeBitstring(unittest.TestCase):
+    # DER requires BIT STRINGS to include a number of padding bits in the
+    # encoded byte string, that padding must be between 0 and 7
+
+    def test_old_call_convention(self):
+        """This is the old way to use the function."""
+        warnings.simplefilter('always')
+        with pytest.warns(DeprecationWarning) as warns:
+            der = encode_bitstring(b'\x00\xff')
+
+        self.assertEqual(len(warns), 1)
+        self.assertIn("unused= needs to be specified",
+            warns[0].message.args[0])
+
+        self.assertEqual(der, b'\x03\x02\x00\xff')
+
+    def test_new_call_convention(self):
+        """This is how it should be called now."""
+        warnings.simplefilter('always')
+        with pytest.warns(None) as warns:
+            der = encode_bitstring(b'\xff', 0)
+
+        # verify that new call convention doesn't raise Warnings
+        self.assertEqual(len(warns), 0)
+
+        self.assertEqual(der, b'\x03\x02\x00\xff')
+
+    def test_implicit_unused_bits(self):
+        """
+        Writing bit string with already included the number of unused bits.
+        """
+        warnings.simplefilter('always')
+        with pytest.warns(None) as warns:
+            der = encode_bitstring(b'\x00\xff', None)
+
+        # verify that new call convention doesn't raise Warnings
+        self.assertEqual(len(warns), 0)
+
+        self.assertEqual(der, b'\x03\x02\x00\xff')
+
+    def test_explicit_unused_bits(self):
+        der = encode_bitstring(b'\xff\xf0', 4)
+
+        self.assertEqual(der, b'\x03\x03\x04\xff\xf0')
+
+    def test_empty_string(self):
+        self.assertEqual(encode_bitstring(b'', 0), b'\x03\x01\x00')
+
+    def test_invalid_unused_count(self):
+        with self.assertRaises(ValueError):
+            encode_bitstring(b'\xff\x00', 8)
+
+    def test_invalid_unused_with_empty_string(self):
+        with self.assertRaises(ValueError):
+            encode_bitstring(b'', 1)
+
+    def test_non_zero_padding_bits(self):
+        with self.assertRaises(ValueError):
+            encode_bitstring(b'\xff', 2)
+
+
+class TestRemoveBitstring(unittest.TestCase):
+    def test_old_call_convention(self):
+        """This is the old way to call the function."""
+        warnings.simplefilter('always')
+        with pytest.warns(DeprecationWarning) as warns:
+            bits, rest = remove_bitstring(b'\x03\x02\x00\xff')
+
+        self.assertEqual(len(warns), 1)
+        self.assertIn("expect_unused= needs to be specified",
+                      warns[0].message.args[0])
+
+        self.assertEqual(bits, b'\x00\xff')
+        self.assertEqual(rest, b'')
+
+    def test_new_call_convention(self):
+        warnings.simplefilter('always')
+        with pytest.warns(None) as warns:
+            bits, rest = remove_bitstring(b'\x03\x02\x00\xff', 0)
+
+        self.assertEqual(len(warns), 0)
+
+        self.assertEqual(bits, b'\xff')
+        self.assertEqual(rest, b'')
+
+    def test_implicit_unexpected_unused(self):
+        warnings.simplefilter('always')
+        with pytest.warns(None) as warns:
+            bits, rest = remove_bitstring(b'\x03\x02\x00\xff', None)
+
+        self.assertEqual(len(warns), 0)
+
+        self.assertEqual(bits, (b'\xff', 0))
+        self.assertEqual(rest, b'')
+
+    def test_with_padding(self):
+        ret, rest = remove_bitstring(b'\x03\x02\x04\xf0', None)
+
+        self.assertEqual(ret, (b'\xf0', 4))
+        self.assertEqual(rest, b'')
+
+    def test_not_a_bitstring(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x02\x02\x00\xff', None)
+
+    def test_empty_encoding(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03\x00', None)
+
+    def test_empty_string(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'', None)
+
+    def test_no_length(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03', None)
+
+    def test_unexpected_number_of_unused_bits(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03\x02\x00\xff', 1)
+
+    def test_invalid_encoding_of_unused_bits(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03\x03\x08\xff\x00', None)
+
+    def test_invalid_encoding_of_empty_string(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03\x01\x01', None)
+
+    def test_invalid_padding_bits(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_bitstring(b'\x03\x02\x01\xff', None)
+
+
+class TestStrIdxAsInt(unittest.TestCase):
+    def test_str(self):
+        self.assertEqual(115, str_idx_as_int('str', 0))
+
+    def test_bytes(self):
+        self.assertEqual(115, str_idx_as_int(b'str', 0))
+
+    def test_bytearray(self):
+        self.assertEqual(115, str_idx_as_int(bytearray(b'str'), 0))
+
+
+class TestEncodeOid(unittest.TestCase):
+    def test_pub_key_oid(self):
+        oid_ecPublicKey = encode_oid(1, 2, 840, 10045, 2, 1)
+        self.assertEqual(hexlify(oid_ecPublicKey), b("06072a8648ce3d0201"))
+
+    def test_nist224p_oid(self):
+        self.assertEqual(hexlify(NIST224p.encoded_oid), b("06052b81040021"))
+
+    def test_nist256p_oid(self):
+        self.assertEqual(hexlify(NIST256p.encoded_oid),
+                         b"06082a8648ce3d030107")
+
+    def test_large_second_subid(self):
+        # from X.690, section 8.19.5
+        oid = encode_oid(2, 999, 3)
+        self.assertEqual(oid, b'\x06\x03\x88\x37\x03')
+
+    def test_with_two_subids(self):
+        oid = encode_oid(2, 999)
+        self.assertEqual(oid, b'\x06\x02\x88\x37')
+
+    def test_zero_zero(self):
+        oid = encode_oid(0, 0)
+        self.assertEqual(oid, b'\x06\x01\x00')
+
+    def test_with_wrong_types(self):
+        with self.assertRaises((TypeError, AssertionError)):
+            encode_oid(0, None)
+
+    def test_with_small_first_large_second(self):
+        with self.assertRaises(AssertionError):
+            encode_oid(1, 40)
+
+    def test_small_first_max_second(self):
+        oid = encode_oid(1, 39)
+        self.assertEqual(oid, b'\x06\x01\x4f')
+
+    def test_with_invalid_first(self):
+        with self.assertRaises(AssertionError):
+            encode_oid(3, 39)
+
+
+class TestRemoveObject(unittest.TestCase):
+    @classmethod
+    def setUpClass(cls):
+        cls.oid_ecPublicKey = encode_oid(1, 2, 840, 10045, 2, 1)
+
+    def test_pub_key_oid(self):
+        oid, rest = remove_object(self.oid_ecPublicKey)
+        self.assertEqual(rest, b'')
+        self.assertEqual(oid, (1, 2, 840, 10045, 2, 1))
+
+    def test_with_extra_bytes(self):
+        oid, rest = remove_object(self.oid_ecPublicKey + b'more')
+        self.assertEqual(rest, b'more')
+        self.assertEqual(oid, (1, 2, 840, 10045, 2, 1))
+
+    def test_with_large_second_subid(self):
+        # from X.690, section 8.19.5
+        oid, rest = remove_object(b'\x06\x03\x88\x37\x03')
+        self.assertEqual(rest, b'')
+        self.assertEqual(oid, (2, 999, 3))
+
+    def test_with_padded_first_subid(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x02\x80\x00')
+
+    def test_with_padded_second_subid(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x04\x88\x37\x80\x01')
+
+    def test_with_missing_last_byte_of_multi_byte(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x03\x88\x37\x83')
+
+    def test_with_two_subids(self):
+        oid, rest = remove_object(b'\x06\x02\x88\x37')
+        self.assertEqual(rest, b'')
+        self.assertEqual(oid, (2, 999))
+
+    def test_zero_zero(self):
+        oid, rest = remove_object(b'\x06\x01\x00')
+        self.assertEqual(rest, b'')
+        self.assertEqual(oid, (0, 0))
+
+    def test_empty_string(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'')
+
+    def test_missing_length(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06')
+
+    def test_empty_oid(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x00')
+
+    def test_empty_oid_overflow(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x01')
+
+    def test_with_wrong_type(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x04\x02\x88\x37')
+
+    def test_with_too_long_length(self):
+        with self.assertRaises(UnexpectedDER):
+            remove_object(b'\x06\x03\x88\x37')
+
+
+@st.composite
+def st_oid(draw, max_value=2**512, max_size=50):
+    """
+    Hypothesis strategy that returns valid OBJECT IDENTIFIERs as tuples
+
+    :param max_value: maximum value of any single sub-identifier
+    :param max_size: maximum length of the generated OID
+    """
+    first = draw(st.integers(min_value=0, max_value=2))
+    if first < 2:
+        second = draw(st.integers(min_value=0, max_value=39))
+    else:
+        second = draw(st.integers(min_value=0, max_value=max_value))
+    rest = draw(st.lists(st.integers(min_value=0, max_value=max_value),
+                         max_size=max_size))
+    return (first, second) + tuple(rest)
+
+
+@given(st_oid())
+def test_oids(ids):
+    encoded_oid = encode_oid(*ids)
+    decoded_oid, rest = remove_object(encoded_oid)
+    assert rest == b''
+    assert decoded_oid == ids
diff --git a/third_party/python/ecdsa/ecdsa/test_ecdh.py b/third_party/python/ecdsa/ecdsa/test_ecdh.py
new file mode 100644
index 0000000000..74c8bbab64
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_ecdh.py
@@ -0,0 +1,350 @@
+
+import os
+import shutil
+import subprocess
+import pytest
+from binascii import hexlify, unhexlify
+
+from .curves import NIST192p, NIST224p, NIST256p, NIST384p, NIST521p
+from .curves import curves
+from .ecdh import ECDH, InvalidCurveError, \
+                InvalidSharedSecretError, NoKeyError
+from .keys import SigningKey, VerifyingKey
+
+
+@pytest.mark.parametrize("vcurve", curves, ids=[curve.name for curve in curves])
+def test_ecdh_each(vcurve):
+    ecdh1 = ECDH(curve=vcurve)
+    ecdh2 = ECDH(curve=vcurve)
+
+    ecdh2.generate_private_key()
+    ecdh1.load_received_public_key(ecdh2.get_public_key())
+    ecdh2.load_received_public_key(ecdh1.generate_private_key())
+
+    secret1 = ecdh1.generate_sharedsecret_bytes()
+    secret2 = ecdh2.generate_sharedsecret_bytes()
+    assert secret1 == secret2
+
+
+def test_ecdh_no_public_key():
+    ecdh1 = ECDH(curve=NIST192p)
+
+    with pytest.raises(NoKeyError):
+        ecdh1.generate_sharedsecret_bytes()
+
+    ecdh1.generate_private_key()
+
+    with pytest.raises(NoKeyError):
+        ecdh1.generate_sharedsecret_bytes()
+
+
+def test_ecdh_wrong_public_key_curve():
+    ecdh1 = ECDH(curve=NIST192p)
+    ecdh1.generate_private_key()
+    ecdh2 = ECDH(curve=NIST256p)
+    ecdh2.generate_private_key()
+
+    with pytest.raises(InvalidCurveError):
+        ecdh1.load_received_public_key(ecdh2.get_public_key())
+
+    with pytest.raises(InvalidCurveError):
+        ecdh2.load_received_public_key(ecdh1.get_public_key())
+
+    ecdh1.public_key = ecdh2.get_public_key()
+    ecdh2.public_key = ecdh1.get_public_key()
+
+    with pytest.raises(InvalidCurveError):
+        ecdh1.generate_sharedsecret_bytes()
+
+    with pytest.raises(InvalidCurveError):
+        ecdh2.generate_sharedsecret_bytes()
+
+
+def test_ecdh_invalid_shared_secret_curve():
+    ecdh1 = ECDH(curve=NIST256p)
+    ecdh1.generate_private_key()
+
+    ecdh1.load_received_public_key(SigningKey.generate(NIST256p).get_verifying_key())
+
+    ecdh1.private_key.privkey.secret_multiplier = ecdh1.private_key.curve.order
+
+    with pytest.raises(InvalidSharedSecretError):
+        ecdh1.generate_sharedsecret_bytes()
+
+
+# https://github.com/scogliani/ecc-test-vectors/blob/master/ecdh_kat/secp192r1.txt
+# https://github.com/scogliani/ecc-test-vectors/blob/master/ecdh_kat/secp256r1.txt
+# https://github.com/coruus/nist-testvectors/blob/master/csrc.nist.gov/groups/STM/cavp/documents/components/ecccdhtestvectors/KAS_ECC_CDH_PrimitiveTest.txt
+@pytest.mark.parametrize(
+    "curve,privatekey,pubkey,secret",
+    [
+        pytest.param(
+            NIST192p,
+            "f17d3fea367b74d340851ca4270dcb24c271f445bed9d527",
+            "42ea6dd9969dd2a61fea1aac7f8e98edcc896c6e55857cc0"
+            "dfbe5d7c61fac88b11811bde328e8a0d12bf01a9d204b523",
+            "803d8ab2e5b6e6fca715737c3a82f7ce3c783124f6d51cd0",
+            id="NIST192p-1"
+        ),
+        pytest.param(
+            NIST192p,
+            "56e853349d96fe4c442448dacb7cf92bb7a95dcf574a9bd5",
+            "deb5712fa027ac8d2f22c455ccb73a91e17b6512b5e030e7"
+            "7e2690a02cc9b28708431a29fb54b87b1f0c14e011ac2125",
+            "c208847568b98835d7312cef1f97f7aa298283152313c29d",
+            id="NIST192p-2"
+        ),
+        pytest.param(
+            NIST192p,
+            "c6ef61fe12e80bf56f2d3f7d0bb757394519906d55500949",
+            "4edaa8efc5a0f40f843663ec5815e7762dddc008e663c20f"
+            "0a9f8dc67a3e60ef6d64b522185d03df1fc0adfd42478279",
+            "87229107047a3b611920d6e3b2c0c89bea4f49412260b8dd",
+            id="NIST192p-3"
+        ),
+        pytest.param(
+            NIST192p,
+            "e6747b9c23ba7044f38ff7e62c35e4038920f5a0163d3cda",
+            "8887c276edeed3e9e866b46d58d895c73fbd80b63e382e88"
+            "04c5097ba6645e16206cfb70f7052655947dd44a17f1f9d5",
+            "eec0bed8fc55e1feddc82158fd6dc0d48a4d796aaf47d46c",
+            id="NIST192p-4"
+        ),
+        pytest.param(
+            NIST192p,
+            "beabedd0154a1afcfc85d52181c10f5eb47adc51f655047d",
+            "0d045f30254adc1fcefa8a5b1f31bf4e739dd327cd18d594"
+            "542c314e41427c08278a08ce8d7305f3b5b849c72d8aff73",
+            "716e743b1b37a2cd8479f0a3d5a74c10ba2599be18d7e2f4",
+            id="NIST192p-5"
+        ),
+        pytest.param(
+            NIST192p,
+            "cf70354226667321d6e2baf40999e2fd74c7a0f793fa8699",
+            "fb35ca20d2e96665c51b98e8f6eb3d79113508d8bccd4516"
+            "368eec0d5bfb847721df6aaff0e5d48c444f74bf9cd8a5a7",
+            "f67053b934459985a315cb017bf0302891798d45d0e19508",
+            id="NIST192p-6"
+        ),
+        pytest.param(
+            NIST224p,
+            "8346a60fc6f293ca5a0d2af68ba71d1dd389e5e40837942df3e43cbd",
+            "af33cd0629bc7e996320a3f40368f74de8704fa37b8fab69abaae280"
+            "882092ccbba7930f419a8a4f9bb16978bbc3838729992559a6f2e2d7",
+            "7d96f9a3bd3c05cf5cc37feb8b9d5209d5c2597464dec3e9983743e8",
+            id="NIST224p"
+        ),
+        pytest.param(
+            NIST256p,
+            "7d7dc5f71eb29ddaf80d6214632eeae03d9058af1fb6d22ed80badb62bc1a534",
+            "700c48f77f56584c5cc632ca65640db91b6bacce3a4df6b42ce7cc838833d287"
+            "db71e509e3fd9b060ddb20ba5c51dcc5948d46fbf640dfe0441782cab85fa4ac",
+            "46fc62106420ff012e54a434fbdd2d25ccc5852060561e68040dd7778997bd7b",
+            id="NIST256p-1"
+        ),
+        pytest.param(
+            NIST256p,
+            "38f65d6dce47676044d58ce5139582d568f64bb16098d179dbab07741dd5caf5",
+            "809f04289c64348c01515eb03d5ce7ac1a8cb9498f5caa50197e58d43a86a7ae"
+            "b29d84e811197f25eba8f5194092cb6ff440e26d4421011372461f579271cda3",
+            "057d636096cb80b67a8c038c890e887d1adfa4195e9b3ce241c8a778c59cda67",
+            id="NIST256p-2"
+        ),
+        pytest.param(
+            NIST256p,
+            "1accfaf1b97712b85a6f54b148985a1bdc4c9bec0bd258cad4b3d603f49f32c8",
+            "a2339c12d4a03c33546de533268b4ad667debf458b464d77443636440ee7fec3"
+            "ef48a3ab26e20220bcda2c1851076839dae88eae962869a497bf73cb66faf536",
+            "2d457b78b4614132477618a5b077965ec90730a8c81a1c75d6d4ec68005d67ec",
+            id="NIST256p-3"
+        ),
+        pytest.param(
+            NIST256p,
+            "207c43a79bfee03db6f4b944f53d2fb76cc49ef1c9c4d34d51b6c65c4db6932d",
+            "df3989b9fa55495719b3cf46dccd28b5153f7808191dd518eff0c3cff2b705ed"
+            "422294ff46003429d739a33206c8752552c8ba54a270defc06e221e0feaf6ac4",
+            "96441259534b80f6aee3d287a6bb17b5094dd4277d9e294f8fe73e48bf2a0024",
+            id="NIST256p-4"
+        ),
+        pytest.param(
+            NIST256p,
+            "59137e38152350b195c9718d39673d519838055ad908dd4757152fd8255c09bf",
+            "41192d2813e79561e6a1d6f53c8bc1a433a199c835e141b05a74a97b0faeb922"
+            "1af98cc45e98a7e041b01cf35f462b7562281351c8ebf3ffa02e33a0722a1328",
+            "19d44c8d63e8e8dd12c22a87b8cd4ece27acdde04dbf47f7f27537a6999a8e62",
+            id="NIST256p-5"
+        ),
+        pytest.param(
+            NIST256p,
+            "f5f8e0174610a661277979b58ce5c90fee6c9b3bb346a90a7196255e40b132ef",
+            "33e82092a0f1fb38f5649d5867fba28b503172b7035574bf8e5b7100a3052792"
+            "f2cf6b601e0a05945e335550bf648d782f46186c772c0f20d3cd0d6b8ca14b2f",
+            "664e45d5bba4ac931cd65d52017e4be9b19a515f669bea4703542a2c525cd3d3",
+            id="NIST256p-6"
+        ),
+        pytest.param(
+            NIST384p,
+            "3cc3122a68f0d95027ad38c067916ba0eb8c38894d22e1b1"
+            "5618b6818a661774ad463b205da88cf699ab4d43c9cf98a1",
+            "a7c76b970c3b5fe8b05d2838ae04ab47697b9eaf52e76459"
+            "2efda27fe7513272734466b400091adbf2d68c58e0c50066"
+            "ac68f19f2e1cb879aed43a9969b91a0839c4c38a49749b66"
+            "1efedf243451915ed0905a32b060992b468c64766fc8437a",
+            "5f9d29dc5e31a163060356213669c8ce132e22f57c9a04f4"
+            "0ba7fcead493b457e5621e766c40a2e3d4d6a04b25e533f1",
+            id="NIST384p"
+        ),
+        pytest.param(
+            NIST521p,
+            "017eecc07ab4b329068fba65e56a1f8890aa935e57134ae0ffcce802735151f4ea"
+            "c6564f6ee9974c5e6887a1fefee5743ae2241bfeb95d5ce31ddcb6f9edb4d6fc47",
+            "00685a48e86c79f0f0875f7bc18d25eb5fc8c0b07e5da4f4370f3a949034085433"
+            "4b1e1b87fa395464c60626124a4e70d0f785601d37c09870ebf176666877a2046d"
+            "01ba52c56fc8776d9e8f5db4f0cc27636d0b741bbe05400697942e80b739884a83"
+            "bde99e0f6716939e632bc8986fa18dccd443a348b6c3e522497955a4f3c302f676",
+            "005fc70477c3e63bc3954bd0df3ea0d1f41ee21746ed95fc5e1fdf90930d5e1366"
+            "72d72cc770742d1711c3c3a4c334a0ad9759436a4d3c5bf6e74b9578fac148c831",
+            id="NIST521p"
+        ),
+    ],
+)
+def test_ecdh_NIST(curve,privatekey,pubkey,secret):
+    ecdh = ECDH(curve=curve)
+    ecdh.load_private_key_bytes(unhexlify(privatekey))
+    ecdh.load_received_public_key_bytes(unhexlify(pubkey))
+
+    sharedsecret = ecdh.generate_sharedsecret_bytes()
+
+    assert sharedsecret == unhexlify(secret)
+
+
+pem_local_private_key = (
+    "-----BEGIN EC PRIVATE KEY-----\n"
+    "MF8CAQEEGF7IQgvW75JSqULpiQQ8op9WH6Uldw6xxaAKBggqhkjOPQMBAaE0AzIA\n"
+    "BLiBd9CE7xf15FY5QIAoNg+fWbSk1yZOYtoGUdzkejWkxbRc9RWTQjqLVXucIJnz\n"
+    "bA==\n"
+    "-----END EC PRIVATE KEY-----\n")
+der_local_private_key = (
+    "305f02010104185ec8420bd6ef9252a942e989043ca29f561fa525770eb1c5a00a06082a864"
+    "8ce3d030101a13403320004b88177d084ef17f5e45639408028360f9f59b4a4d7264e62da06"
+    "51dce47a35a4c5b45cf51593423a8b557b9c2099f36c")
+pem_remote_public_key = (
+    "-----BEGIN PUBLIC KEY-----\n"
+    "MEkwEwYHKoZIzj0CAQYIKoZIzj0DAQEDMgAEuIF30ITvF/XkVjlAgCg2D59ZtKTX\n"
+    "Jk5i2gZR3OR6NaTFtFz1FZNCOotVe5wgmfNs\n"
+    "-----END PUBLIC KEY-----\n")
+der_remote_public_key = (
+    "3049301306072a8648ce3d020106082a8648ce3d03010103320004b88177d084ef17f5e4563"
+    "9408028360f9f59b4a4d7264e62da0651dce47a35a4c5b45cf51593423a8b557b9c2099f36c")
+gshared_secret = "8f457e34982478d1c34b9cd2d0c15911b72dd60d869e2cea"
+
+
+def test_ecdh_pem():
+    ecdh = ECDH()
+    ecdh.load_private_key_pem(pem_local_private_key)
+    ecdh.load_received_public_key_pem(pem_remote_public_key)
+
+    sharedsecret = ecdh.generate_sharedsecret_bytes()
+
+    assert sharedsecret == unhexlify(gshared_secret)
+
+
+def test_ecdh_der():
+    ecdh = ECDH()
+    ecdh.load_private_key_der(unhexlify(der_local_private_key))
+    ecdh.load_received_public_key_der(unhexlify(der_remote_public_key))
+
+    sharedsecret = ecdh.generate_sharedsecret_bytes()
+
+    assert sharedsecret == unhexlify(gshared_secret)
+
+
+# Exception classes used by run_openssl.
+class RunOpenSslError(Exception):
+    pass
+
+
+def run_openssl(cmd):
+    OPENSSL = "openssl"
+    p = subprocess.Popen([OPENSSL] + cmd.split(),
+                         stdout=subprocess.PIPE,
+                         stderr=subprocess.STDOUT)
+    stdout, ignored = p.communicate()
+    if p.returncode != 0:
+        raise RunOpenSslError(
+            "cmd '%s %s' failed: rc=%s, stdout/err was %s" %
+            (OPENSSL, cmd, p.returncode, stdout))
+    return stdout.decode()
+
+
+OPENSSL_SUPPORTED_CURVES = set(c.split(':')[0].strip() for c in
+                               run_openssl("ecparam -list_curves")
+                               .split('\n'))
+
+
+@pytest.mark.parametrize("vcurve", curves, ids=[curve.name for curve in curves])
+def test_ecdh_with_openssl(vcurve):
+    assert vcurve.openssl_name
+
+    if vcurve.openssl_name not in OPENSSL_SUPPORTED_CURVES:
+        pytest.skip("system openssl does not support " + vcurve.openssl_name)
+        return
+
+    try:
+        hlp = run_openssl("pkeyutl -help")
+        if hlp.find("-derive") == 0:
+            pytest.skip("system openssl does not support `pkeyutl -derive`")
+            return
+    except RunOpenSslError:
+        pytest.skip("system openssl does not support `pkeyutl -derive`")
+        return
+
+    if os.path.isdir("t"):
+        shutil.rmtree("t")
+    os.mkdir("t")
+    run_openssl("ecparam -name %s -genkey -out t/privkey1.pem" % vcurve.openssl_name)
+    run_openssl("ecparam -name %s -genkey -out t/privkey2.pem" % vcurve.openssl_name)
+    run_openssl("ec -in t/privkey1.pem -pubout -out t/pubkey1.pem")
+
+    ecdh1 = ECDH(curve=vcurve)
+    ecdh2 = ECDH(curve=vcurve)
+    with open("t/privkey1.pem") as e:
+        key = e.read()
+    ecdh1.load_private_key_pem(key)
+    with open("t/privkey2.pem") as e:
+        key = e.read()
+    ecdh2.load_private_key_pem(key)
+
+    with open("t/pubkey1.pem") as e:
+        key = e.read()
+    vk1 = VerifyingKey.from_pem(key)
+    assert vk1.to_string() == ecdh1.get_public_key().to_string()
+    vk2 = ecdh2.get_public_key()
+    with open("t/pubkey2.pem", "wb") as e:
+        e.write(vk2.to_pem())
+
+    ecdh1.load_received_public_key(vk2)
+    ecdh2.load_received_public_key(vk1)
+    secret1 = ecdh1.generate_sharedsecret_bytes()
+    secret2 = ecdh2.generate_sharedsecret_bytes()
+
+    assert secret1 == secret2
+
+    try:
+        run_openssl("pkeyutl -derive -inkey t/privkey1.pem -peerkey t/pubkey2.pem -out t/secret1")
+        run_openssl("pkeyutl -derive -inkey t/privkey2.pem -peerkey t/pubkey1.pem -out t/secret2")
+    except RunOpenSslError:
+        pytest.skip("system openssl does not support `pkeyutl -derive`")
+        return
+
+    with open("t/secret1", "rb") as e:
+        ssl_secret1 = e.read()
+    with open("t/secret1", "rb") as e:
+        ssl_secret2 = e.read()
+
+    if len(ssl_secret1) != vk1.curve.baselen:
+        pytest.skip("system openssl does not support `pkeyutl -derive`")
+        return
+
+    assert ssl_secret1 == ssl_secret2
+    assert secret1 == ssl_secret1
diff --git a/third_party/python/ecdsa/ecdsa/test_ecdsa.py b/third_party/python/ecdsa/ecdsa/test_ecdsa.py
new file mode 100644
index 0000000000..71c68913ac
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_ecdsa.py
@@ -0,0 +1,448 @@
+from __future__ import print_function
+import sys
+import hypothesis.strategies as st
+from hypothesis import given, settings, note, example
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+import pytest
+from .ecdsa import Private_key, Public_key, Signature, \
+    generator_192, digest_integer, ellipticcurve, point_is_valid, \
+    generator_224, generator_256, generator_384, generator_521, \
+    generator_secp256k1
+
+
+HYP_SETTINGS = {}
+# old hypothesis doesn't have the "deadline" setting
+if sys.version_info > (2, 7):  # pragma: no branch
+    # SEC521p is slow, allow long execution for it
+    HYP_SETTINGS["deadline"] = 5000
+
+
+class TestP192FromX9_62(unittest.TestCase):
+    """Check test vectors from X9.62"""
+    @classmethod
+    def setUpClass(cls):
+        cls.d = 651056770906015076056810763456358567190100156695615665659
+        cls.Q = cls.d * generator_192
+        cls.k = 6140507067065001063065065565667405560006161556565665656654
+        cls.R = cls.k * generator_192
+
+        cls.msg = 968236873715988614170569073515315707566766479517
+        cls.pubk = Public_key(generator_192, generator_192 * cls.d)
+        cls.privk = Private_key(cls.pubk, cls.d)
+        cls.sig = cls.privk.sign(cls.msg, cls.k)
+
+    def test_point_multiplication(self):
+        assert self.Q.x() == 0x62B12D60690CDCF330BABAB6E69763B471F994DD702D16A5
+
+    def test_point_multiplication_2(self):
+        assert self.R.x() == 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD
+        assert self.R.y() == 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835
+
+    def test_mult_and_addition(self):
+        u1 = 2563697409189434185194736134579731015366492496392189760599
+        u2 = 6266643813348617967186477710235785849136406323338782220568
+        temp = u1 * generator_192 + u2 * self.Q
+        assert temp.x() == 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD
+        assert temp.y() == 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835
+
+    def test_signature(self):
+        r, s = self.sig.r, self.sig.s
+        assert r == 3342403536405981729393488334694600415596881826869351677613
+        assert s == 5735822328888155254683894997897571951568553642892029982342
+
+    def test_verification(self):
+        assert self.pubk.verifies(self.msg, self.sig)
+
+    def test_rejection(self):
+        assert not self.pubk.verifies(self.msg - 1, self.sig)
+
+
+class TestPublicKey(unittest.TestCase):
+       
+    def test_equality_public_keys(self):
+        gen = generator_192
+        x = 0xc58d61f88d905293bcd4cd0080bcb1b7f811f2ffa41979f6
+        y = 0x8804dc7a7c4c7f8b5d437f5156f3312ca7d6de8a0e11867f        
+        point = ellipticcurve.Point(gen.curve(), x, y)
+        pub_key1 = Public_key(gen, point)
+        pub_key2 = Public_key(gen, point)
+        self.assertEqual(pub_key1, pub_key2)
+        
+    def test_inequality_public_key(self):
+        gen = generator_192
+        x1 = 0xc58d61f88d905293bcd4cd0080bcb1b7f811f2ffa41979f6
+        y1 = 0x8804dc7a7c4c7f8b5d437f5156f3312ca7d6de8a0e11867f  
+        point1 = ellipticcurve.Point(gen.curve(), x1, y1)
+                
+        x2 = 0x6a223d00bd22c52833409a163e057e5b5da1def2a197dd15
+        y2 = 0x7b482604199367f1f303f9ef627f922f97023e90eae08abf
+        point2 = ellipticcurve.Point(gen.curve(), x2, y2)
+        
+        pub_key1 = Public_key(gen, point1)
+        pub_key2 = Public_key(gen, point2)
+        self.assertNotEqual(pub_key1, pub_key2)
+        
+    def test_inequality_public_key_not_implemented(self):
+        gen = generator_192
+        x = 0xc58d61f88d905293bcd4cd0080bcb1b7f811f2ffa41979f6
+        y = 0x8804dc7a7c4c7f8b5d437f5156f3312ca7d6de8a0e11867f        
+        point = ellipticcurve.Point(gen.curve(), x, y)
+        pub_key = Public_key(gen, point)
+        self.assertNotEqual(pub_key, None)
+
+
+class TestPrivateKey(unittest.TestCase):
+
+    @classmethod
+    def setUpClass(cls):
+        gen = generator_192
+        x = 0xc58d61f88d905293bcd4cd0080bcb1b7f811f2ffa41979f6
+        y = 0x8804dc7a7c4c7f8b5d437f5156f3312ca7d6de8a0e11867f        
+        point = ellipticcurve.Point(gen.curve(), x, y)
+        cls.pub_key = Public_key(gen, point)
+        
+    def test_equality_private_keys(self):
+        pr_key1 = Private_key(self.pub_key, 100)
+        pr_key2 = Private_key(self.pub_key, 100)
+        self.assertEqual(pr_key1, pr_key2)
+        
+    def test_inequality_private_keys(self):
+        pr_key1 = Private_key(self.pub_key, 100)
+        pr_key2 = Private_key(self.pub_key, 200)
+        self.assertNotEqual(pr_key1, pr_key2)
+        
+    def test_inequality_private_keys_not_implemented(self):
+        pr_key = Private_key(self.pub_key, 100)
+        self.assertNotEqual(pr_key, None)
+        
+
+# Testing point validity, as per ECDSAVS.pdf B.2.2:
+P192_POINTS = [
+    (generator_192,
+     0xcd6d0f029a023e9aaca429615b8f577abee685d8257cc83a,
+     0x00019c410987680e9fb6c0b6ecc01d9a2647c8bae27721bacdfc,
+     False),
+
+    (generator_192,
+     0x00017f2fce203639e9eaf9fb50b81fc32776b30e3b02af16c73b,
+     0x95da95c5e72dd48e229d4748d4eee658a9a54111b23b2adb,
+     False),
+
+    (generator_192,
+     0x4f77f8bc7fccbadd5760f4938746d5f253ee2168c1cf2792,
+     0x000147156ff824d131629739817edb197717c41aab5c2a70f0f6,
+     False),
+
+    (generator_192,
+     0xc58d61f88d905293bcd4cd0080bcb1b7f811f2ffa41979f6,
+     0x8804dc7a7c4c7f8b5d437f5156f3312ca7d6de8a0e11867f,
+     True),
+
+    (generator_192,
+     0xcdf56c1aa3d8afc53c521adf3ffb96734a6a630a4a5b5a70,
+     0x97c1c44a5fb229007b5ec5d25f7413d170068ffd023caa4e,
+     True),
+
+    (generator_192,
+     0x89009c0dc361c81e99280c8e91df578df88cdf4b0cdedced,
+     0x27be44a529b7513e727251f128b34262a0fd4d8ec82377b9,
+     True),
+
+    (generator_192,
+     0x6a223d00bd22c52833409a163e057e5b5da1def2a197dd15,
+     0x7b482604199367f1f303f9ef627f922f97023e90eae08abf,
+     True),
+
+    (generator_192,
+     0x6dccbde75c0948c98dab32ea0bc59fe125cf0fb1a3798eda,
+     0x0001171a3e0fa60cf3096f4e116b556198de430e1fbd330c8835,
+     False),
+
+    (generator_192,
+     0xd266b39e1f491fc4acbbbc7d098430931cfa66d55015af12,
+     0x193782eb909e391a3148b7764e6b234aa94e48d30a16dbb2,
+     False),
+
+    (generator_192,
+     0x9d6ddbcd439baa0c6b80a654091680e462a7d1d3f1ffeb43,
+     0x6ad8efc4d133ccf167c44eb4691c80abffb9f82b932b8caa,
+     False),
+
+    (generator_192,
+     0x146479d944e6bda87e5b35818aa666a4c998a71f4e95edbc,
+     0xa86d6fe62bc8fbd88139693f842635f687f132255858e7f6,
+     False),
+
+    (generator_192,
+     0xe594d4a598046f3598243f50fd2c7bd7d380edb055802253,
+     0x509014c0c4d6b536e3ca750ec09066af39b4c8616a53a923,
+     False)]
+
+
+@pytest.mark.parametrize("generator,x,y,expected", P192_POINTS)
+def test_point_validity(generator, x, y, expected):
+    """
+    `generator` defines the curve; is `(x, y)` a point on
+    this curve? `expected` is True if the right answer is Yes.
+    """
+    assert point_is_valid(generator, x, y) == expected
+
+
+# Trying signature-verification tests from ECDSAVS.pdf B.2.4:
+CURVE_192_KATS = [
+    (generator_192,
+     int("0x84ce72aa8699df436059f052ac51b6398d2511e49631bcb7e71f89c499b9ee"
+         "425dfbc13a5f6d408471b054f2655617cbbaf7937b7c80cd8865cf02c8487d30"
+         "d2b0fbd8b2c4e102e16d828374bbc47b93852f212d5043c3ea720f086178ff79"
+         "8cc4f63f787b9c2e419efa033e7644ea7936f54462dc21a6c4580725f7f0e7d1"
+         "58", 16),
+     0xd9dbfb332aa8e5ff091e8ce535857c37c73f6250ffb2e7ac,
+     0x282102e364feded3ad15ddf968f88d8321aa268dd483ebc4,
+     0x64dca58a20787c488d11d6dd96313f1b766f2d8efe122916,
+     0x1ecba28141e84ab4ecad92f56720e2cc83eb3d22dec72479,
+     True),
+
+    (generator_192,
+     int("0x94bb5bacd5f8ea765810024db87f4224ad71362a3c28284b2b9f39fab86db1"
+         "2e8beb94aae899768229be8fdb6c4f12f28912bb604703a79ccff769c1607f5a"
+         "91450f30ba0460d359d9126cbd6296be6d9c4bb96c0ee74cbb44197c207f6db3"
+         "26ab6f5a659113a9034e54be7b041ced9dcf6458d7fb9cbfb2744d999f7dfd63"
+         "f4", 16),
+     0x3e53ef8d3112af3285c0e74842090712cd324832d4277ae7,
+     0xcc75f8952d30aec2cbb719fc6aa9934590b5d0ff5a83adb7,
+     0x8285261607283ba18f335026130bab31840dcfd9c3e555af,
+     0x356d89e1b04541afc9704a45e9c535ce4a50929e33d7e06c,
+     True),
+
+    (generator_192,
+     int("0xf6227a8eeb34afed1621dcc89a91d72ea212cb2f476839d9b4243c66877911"
+         "b37b4ad6f4448792a7bbba76c63bdd63414b6facab7dc71c3396a73bd7ee14cd"
+         "d41a659c61c99b779cecf07bc51ab391aa3252386242b9853ea7da67fd768d30"
+         "3f1b9b513d401565b6f1eb722dfdb96b519fe4f9bd5de67ae131e64b40e78c42"
+         "dd", 16),
+     0x16335dbe95f8e8254a4e04575d736befb258b8657f773cb7,
+     0x421b13379c59bc9dce38a1099ca79bbd06d647c7f6242336,
+     0x4141bd5d64ea36c5b0bd21ef28c02da216ed9d04522b1e91,
+     0x159a6aa852bcc579e821b7bb0994c0861fb08280c38daa09,
+     False),
+
+    (generator_192,
+     int("0x16b5f93afd0d02246f662761ed8e0dd9504681ed02a253006eb36736b56309"
+         "7ba39f81c8e1bce7a16c1339e345efabbc6baa3efb0612948ae51103382a8ee8"
+         "bc448e3ef71e9f6f7a9676694831d7f5dd0db5446f179bcb737d4a526367a447"
+         "bfe2c857521c7f40b6d7d7e01a180d92431fb0bbd29c04a0c420a57b3ed26ccd"
+         "8a", 16),
+     0xfd14cdf1607f5efb7b1793037b15bdf4baa6f7c16341ab0b,
+     0x83fa0795cc6c4795b9016dac928fd6bac32f3229a96312c4,
+     0x8dfdb832951e0167c5d762a473c0416c5c15bc1195667dc1,
+     0x1720288a2dc13fa1ec78f763f8fe2ff7354a7e6fdde44520,
+     False),
+
+    (generator_192,
+     int("0x08a2024b61b79d260e3bb43ef15659aec89e5b560199bc82cf7c65c77d3919"
+         "2e03b9a895d766655105edd9188242b91fbde4167f7862d4ddd61e5d4ab55196"
+         "683d4f13ceb90d87aea6e07eb50a874e33086c4a7cb0273a8e1c4408f4b846bc"
+         "eae1ebaac1b2b2ea851a9b09de322efe34cebe601653efd6ddc876ce8c2f2072"
+         "fb", 16),
+     0x674f941dc1a1f8b763c9334d726172d527b90ca324db8828,
+     0x65adfa32e8b236cb33a3e84cf59bfb9417ae7e8ede57a7ff,
+     0x9508b9fdd7daf0d8126f9e2bc5a35e4c6d800b5b804d7796,
+     0x36f2bf6b21b987c77b53bb801b3435a577e3d493744bfab0,
+     False),
+
+    (generator_192,
+     int("0x1843aba74b0789d4ac6b0b8923848023a644a7b70afa23b1191829bbe4397c"
+         "e15b629bf21a8838298653ed0c19222b95fa4f7390d1b4c844d96e645537e0aa"
+         "e98afb5c0ac3bd0e4c37f8daaff25556c64e98c319c52687c904c4de7240a1cc"
+         "55cd9756b7edaef184e6e23b385726e9ffcba8001b8f574987c1a3fedaaa83ca"
+         "6d", 16),
+     0x10ecca1aad7220b56a62008b35170bfd5e35885c4014a19f,
+     0x04eb61984c6c12ade3bc47f3c629ece7aa0a033b9948d686,
+     0x82bfa4e82c0dfe9274169b86694e76ce993fd83b5c60f325,
+     0xa97685676c59a65dbde002fe9d613431fb183e8006d05633,
+     False),
+
+    (generator_192,
+     int("0x5a478f4084ddd1a7fea038aa9732a822106385797d02311aeef4d0264f824f"
+         "698df7a48cfb6b578cf3da416bc0799425bb491be5b5ecc37995b85b03420a98"
+         "f2c4dc5c31a69a379e9e322fbe706bbcaf0f77175e05cbb4fa162e0da82010a2"
+         "78461e3e974d137bc746d1880d6eb02aa95216014b37480d84b87f717bb13f76"
+         "e1", 16),
+     0x6636653cb5b894ca65c448277b29da3ad101c4c2300f7c04,
+     0xfdf1cbb3fc3fd6a4f890b59e554544175fa77dbdbeb656c1,
+     0xeac2ddecddfb79931a9c3d49c08de0645c783a24cb365e1c,
+     0x3549fee3cfa7e5f93bc47d92d8ba100e881a2a93c22f8d50,
+     False),
+
+    (generator_192,
+     int("0xc598774259a058fa65212ac57eaa4f52240e629ef4c310722088292d1d4af6"
+         "c39b49ce06ba77e4247b20637174d0bd67c9723feb57b5ead232b47ea452d5d7"
+         "a089f17c00b8b6767e434a5e16c231ba0efa718a340bf41d67ea2d295812ff1b"
+         "9277daacb8bc27b50ea5e6443bcf95ef4e9f5468fe78485236313d53d1c68f6b"
+         "a2", 16),
+     0xa82bd718d01d354001148cd5f69b9ebf38ff6f21898f8aaa,
+     0xe67ceede07fc2ebfafd62462a51e4b6c6b3d5b537b7caf3e,
+     0x4d292486c620c3de20856e57d3bb72fcde4a73ad26376955,
+     0xa85289591a6081d5728825520e62ff1c64f94235c04c7f95,
+     False),
+
+    (generator_192,
+     int("0xca98ed9db081a07b7557f24ced6c7b9891269a95d2026747add9e9eb80638a"
+         "961cf9c71a1b9f2c29744180bd4c3d3db60f2243c5c0b7cc8a8d40a3f9a7fc91"
+         "0250f2187136ee6413ffc67f1a25e1c4c204fa9635312252ac0e0481d89b6d53"
+         "808f0c496ba87631803f6c572c1f61fa049737fdacce4adff757afed4f05beb6"
+         "58", 16),
+     0x7d3b016b57758b160c4fca73d48df07ae3b6b30225126c2f,
+     0x4af3790d9775742bde46f8da876711be1b65244b2b39e7ec,
+     0x95f778f5f656511a5ab49a5d69ddd0929563c29cbc3a9e62,
+     0x75c87fc358c251b4c83d2dd979faad496b539f9f2ee7a289,
+     False),
+
+    (generator_192,
+     int("0x31dd9a54c8338bea06b87eca813d555ad1850fac9742ef0bbe40dad400e102"
+         "88acc9c11ea7dac79eb16378ebea9490e09536099f1b993e2653cd50240014c9"
+         "0a9c987f64545abc6a536b9bd2435eb5e911fdfde2f13be96ea36ad38df4ae9e"
+         "a387b29cced599af777338af2794820c9cce43b51d2112380a35802ab7e396c9"
+         "7a", 16),
+     0x9362f28c4ef96453d8a2f849f21e881cd7566887da8beb4a,
+     0xe64d26d8d74c48a024ae85d982ee74cd16046f4ee5333905,
+     0xf3923476a296c88287e8de914b0b324ad5a963319a4fe73b,
+     0xf0baeed7624ed00d15244d8ba2aede085517dbdec8ac65f5,
+     True),
+
+    (generator_192,
+     int("0xb2b94e4432267c92f9fdb9dc6040c95ffa477652761290d3c7de312283f645"
+         "0d89cc4aabe748554dfb6056b2d8e99c7aeaad9cdddebdee9dbc099839562d90"
+         "64e68e7bb5f3a6bba0749ca9a538181fc785553a4000785d73cc207922f63e8c"
+         "e1112768cb1de7b673aed83a1e4a74592f1268d8e2a4e9e63d414b5d442bd045"
+         "6d", 16),
+     0xcc6fc032a846aaac25533eb033522824f94e670fa997ecef,
+     0xe25463ef77a029eccda8b294fd63dd694e38d223d30862f1,
+     0x066b1d07f3a40e679b620eda7f550842a35c18b80c5ebe06,
+     0xa0b0fb201e8f2df65e2c4508ef303bdc90d934016f16b2dc,
+     False),
+
+    (generator_192,
+     int("0x4366fcadf10d30d086911de30143da6f579527036937007b337f7282460eae"
+         "5678b15cccda853193ea5fc4bc0a6b9d7a31128f27e1214988592827520b214e"
+         "ed5052f7775b750b0c6b15f145453ba3fee24a085d65287e10509eb5d5f602c4"
+         "40341376b95c24e5c4727d4b859bfe1483d20538acdd92c7997fa9c614f0f839"
+         "d7", 16),
+     0x955c908fe900a996f7e2089bee2f6376830f76a19135e753,
+     0xba0c42a91d3847de4a592a46dc3fdaf45a7cc709b90de520,
+     0x1f58ad77fc04c782815a1405b0925e72095d906cbf52a668,
+     0xf2e93758b3af75edf784f05a6761c9b9a6043c66b845b599,
+     False),
+
+    (generator_192,
+     int("0x543f8af57d750e33aa8565e0cae92bfa7a1ff78833093421c2942cadf99866"
+         "70a5ff3244c02a8225e790fbf30ea84c74720abf99cfd10d02d34377c3d3b412"
+         "69bea763384f372bb786b5846f58932defa68023136cd571863b304886e95e52"
+         "e7877f445b9364b3f06f3c28da12707673fecb4b8071de06b6e0a3c87da160ce"
+         "f3", 16),
+     0x31f7fa05576d78a949b24812d4383107a9a45bb5fccdd835,
+     0x8dc0eb65994a90f02b5e19bd18b32d61150746c09107e76b,
+     0xbe26d59e4e883dde7c286614a767b31e49ad88789d3a78ff,
+     0x8762ca831c1ce42df77893c9b03119428e7a9b819b619068,
+     False),
+
+    (generator_192,
+     int("0xd2e8454143ce281e609a9d748014dcebb9d0bc53adb02443a6aac2ffe6cb009f"
+         "387c346ecb051791404f79e902ee333ad65e5c8cb38dc0d1d39a8dc90add502357"
+         "2720e5b94b190d43dd0d7873397504c0c7aef2727e628eb6a74411f2e400c65670"
+         "716cb4a815dc91cbbfeb7cfe8c929e93184c938af2c078584da045e8f8d1", 16),
+     0x66aa8edbbdb5cf8e28ceb51b5bda891cae2df84819fe25c0,
+     0x0c6bc2f69030a7ce58d4a00e3b3349844784a13b8936f8da,
+     0xa4661e69b1734f4a71b788410a464b71e7ffe42334484f23,
+     0x738421cf5e049159d69c57a915143e226cac8355e149afe9,
+     False),
+
+    (generator_192,
+     int("0x6660717144040f3e2f95a4e25b08a7079c702a8b29babad5a19a87654bc5c5af"
+         "a261512a11b998a4fb36b5d8fe8bd942792ff0324b108120de86d63f65855e5461"
+         "184fc96a0a8ffd2ce6d5dfb0230cbbdd98f8543e361b3205f5da3d500fdc8bac6d"
+         "b377d75ebef3cb8f4d1ff738071ad0938917889250b41dd1d98896ca06fb", 16),
+     0xbcfacf45139b6f5f690a4c35a5fffa498794136a2353fc77,
+     0x6f4a6c906316a6afc6d98fe1f0399d056f128fe0270b0f22,
+     0x9db679a3dafe48f7ccad122933acfe9da0970b71c94c21c1,
+     0x984c2db99827576c0a41a5da41e07d8cc768bc82f18c9da9,
+     False)
+    ]
+
+
+@pytest.mark.parametrize("gen,msg,qx,qy,r,s,expected", CURVE_192_KATS)
+def test_signature_validity(gen, msg, qx, qy, r, s, expected):
+    """
+    `msg` = message, `qx` and `qy` represent the base point on
+    elliptic curve of `gen`, `r` and `s` are the signature, and
+    `expected` is True iff the signature is expected to be valid."""
+    pubk = Public_key(gen,
+                      ellipticcurve.Point(gen.curve(), qx, qy))
+    assert expected == pubk.verifies(digest_integer(msg), Signature(r, s))
+
+
+@pytest.mark.parametrize("gen,msg,qx,qy,r,s,expected",
+                         [x for x in CURVE_192_KATS if x[6]])
+def test_pk_recovery(gen, msg, r, s, qx, qy, expected):
+    del expected
+    sign = Signature(r, s)
+    pks = sign.recover_public_keys(digest_integer(msg), gen)
+
+    assert pks
+
+    # Test if the signature is valid for all found public keys
+    for pk in pks:
+        q = pk.point
+        test_signature_validity(gen, msg, q.x(), q.y(), r, s, True)
+
+    # Test if the original public key is in the set of found keys
+    original_q = ellipticcurve.Point(gen.curve(), qx, qy)
+    points = [pk.point for pk in pks]
+    assert original_q in points
+
+
+@st.composite
+def st_random_gen_key_msg_nonce(draw):
+    """Hypothesis strategy for test_sig_verify()."""
+    name_gen = {
+        "generator_192": generator_192,
+        "generator_224": generator_224,
+        "generator_256": generator_256,
+        "generator_secp256k1": generator_secp256k1,
+        "generator_384": generator_384,
+        "generator_521": generator_521}
+    name = draw(st.sampled_from(sorted(name_gen.keys())))
+    note("Generator used: {0}".format(name))
+    generator = name_gen[name]
+    order = int(generator.order())
+
+    key = draw(st.integers(min_value=1, max_value=order))
+    msg = draw(st.integers(min_value=1, max_value=order))
+    nonce = draw(st.integers(min_value=1, max_value=order+1) |
+                 st.integers(min_value=order>>1, max_value=order))
+    return generator, key, msg, nonce
+
+
+SIG_VER_SETTINGS = dict(HYP_SETTINGS)
+SIG_VER_SETTINGS["max_examples"] = 10
+@settings(**SIG_VER_SETTINGS)
+@example((generator_224, 4, 1, 1))
+@given(st_random_gen_key_msg_nonce())
+def test_sig_verify(args):
+    """
+    Check if signing and verification works for arbitrary messages and
+    that signatures for other messages are rejected.
+    """
+    generator, sec_mult, msg, nonce = args
+
+    pubkey = Public_key(generator, generator * sec_mult)
+    privkey = Private_key(pubkey, sec_mult)
+
+    signature = privkey.sign(msg, nonce)
+
+    assert pubkey.verifies(msg, signature)
+
+    assert not pubkey.verifies(msg - 1, signature)
diff --git a/third_party/python/ecdsa/ecdsa/test_ellipticcurve.py b/third_party/python/ecdsa/ecdsa/test_ellipticcurve.py
new file mode 100644
index 0000000000..924134cecd
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_ellipticcurve.py
@@ -0,0 +1,188 @@
+import pytest
+from six import print_
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+from hypothesis import given, settings
+import hypothesis.strategies as st
+try:
+    from hypothesis import HealthCheck
+    HC_PRESENT=True
+except ImportError:  # pragma: no cover
+    HC_PRESENT=False
+from .numbertheory import inverse_mod
+from .ellipticcurve import CurveFp, INFINITY, Point
+
+
+HYP_SETTINGS={}
+if HC_PRESENT:  # pragma: no branch
+    HYP_SETTINGS['suppress_health_check']=[HealthCheck.too_slow]
+    HYP_SETTINGS['deadline'] = 5000
+
+
+# NIST Curve P-192:
+p = 6277101735386680763835789423207666416083908700390324961279
+r = 6277101735386680763835789423176059013767194773182842284081
+# s = 0x3045ae6fc8422f64ed579528d38120eae12196d5
+# c = 0x3099d2bbbfcb2538542dcd5fb078b6ef5f3d6fe2c745de65
+b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
+Gx = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
+Gy = 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811
+
+c192 = CurveFp(p, -3, b)
+p192 = Point(c192, Gx, Gy, r)
+
+c_23 = CurveFp(23, 1, 1)
+g_23 = Point(c_23, 13, 7, 7)
+
+
+HYP_SLOW_SETTINGS=dict(HYP_SETTINGS)
+HYP_SLOW_SETTINGS["max_examples"]=10
+
+
+@settings(**HYP_SLOW_SETTINGS)
+@given(st.integers(min_value=1, max_value=r+1))
+def test_p192_mult_tests(multiple):
+    inv_m = inverse_mod(multiple, r)
+
+    p1 = p192 * multiple
+    assert p1 * inv_m == p192
+    
+    
+def add_n_times(point, n):
+    ret = INFINITY
+    i = 0
+    while i <= n:
+        yield ret
+        ret = ret + point
+        i += 1
+        
+
+# From X9.62 I.1 (p. 96):
+@pytest.mark.parametrize(
+    "p, m, check",
+    [(g_23, n, exp) for n, exp in enumerate(add_n_times(g_23, 8))],
+    ids=["g_23 test with mult {0}".format(i) for i in range(9)])
+def test_add_and_mult_equivalence(p, m, check):
+    assert p * m == check
+    
+
+class TestCurve(unittest.TestCase):
+
+    @classmethod
+    def setUpClass(cls):
+        cls.c_23 = CurveFp(23, 1, 1)
+        
+    def test_equality_curves(self):
+        self.assertEqual(self.c_23, CurveFp(23, 1, 1))
+        
+    def test_inequality_curves(self):
+        c192 = CurveFp(p, -3, b)
+        self.assertNotEqual(self.c_23, c192)
+
+    def test_usability_in_a_hashed_collection_curves(self):
+        {self.c_23: None}
+
+    def test_hashability_curves(self):
+        hash(self.c_23)
+
+    def test_conflation_curves(self):
+        ne1, ne2, ne3 = CurveFp(24, 1, 1), CurveFp(23, 2, 1), CurveFp(23, 1, 2)
+        eq1, eq2, eq3 = CurveFp(23, 1, 1), CurveFp(23, 1, 1), self.c_23
+        self.assertEqual(len(set((c_23, eq1, eq2, eq3))), 1)
+        self.assertEqual(len(set((c_23, ne1, ne2, ne3))), 4)
+        self.assertDictEqual({c_23: None}, {eq1: None})
+        self.assertTrue(eq2 in {eq3: None})
+
+
+class TestPoint(unittest.TestCase):
+
+    @classmethod
+    def setUpClass(cls):
+        cls.c_23 = CurveFp(23, 1, 1)
+        cls.g_23 = Point(cls.c_23, 13, 7, 7)
+        
+        p = 6277101735386680763835789423207666416083908700390324961279
+        r = 6277101735386680763835789423176059013767194773182842284081
+        # s = 0x3045ae6fc8422f64ed579528d38120eae12196d5
+        # c = 0x3099d2bbbfcb2538542dcd5fb078b6ef5f3d6fe2c745de65
+        b = 0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1
+        Gx = 0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012
+        Gy = 0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811
+        
+        cls.c192 = CurveFp(p, -3, b)
+        cls.p192 = Point(cls.c192, Gx, Gy, r)        
+           
+    def test_p192(self):
+        # Checking against some sample computations presented
+        # in X9.62:
+        d = 651056770906015076056810763456358567190100156695615665659
+        Q = d * self.p192
+        self.assertEqual(Q.x(), 0x62B12D60690CDCF330BABAB6E69763B471F994DD702D16A5)
+
+        k = 6140507067065001063065065565667405560006161556565665656654
+        R = k * self.p192
+        self.assertEqual(R.x(), 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD)
+        self.assertEqual(R.y(), 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835)
+
+        u1 = 2563697409189434185194736134579731015366492496392189760599
+        u2 = 6266643813348617967186477710235785849136406323338782220568
+        temp = u1 * self.p192 + u2 * Q
+        self.assertEqual(temp.x(), 0x885052380FF147B734C330C43D39B2C4A89F29B0F749FEAD)
+        self.assertEqual(temp.y(), 0x9CF9FA1CBEFEFB917747A3BB29C072B9289C2547884FD835)
+        
+    def test_double_infinity(self):
+        p1 = INFINITY
+        p3 = p1.double()
+        self.assertEqual(p1, p3)
+        self.assertEqual(p3.x(), p1.x())
+        self.assertEqual(p3.y(), p3.y())        
+      
+    def test_double(self):
+        x1, y1, x3, y3 = (3, 10, 7, 12)
+        
+        p1 = Point(self.c_23, x1, y1)
+        p3 = p1.double()
+        self.assertEqual(p3.x(), x3)
+        self.assertEqual(p3.y(), y3)
+        
+    def test_multiply(self):
+        x1, y1, m, x3, y3 = (3, 10, 2, 7, 12)
+        p1 = Point(self.c_23, x1, y1)
+        p3 = p1 * m
+        self.assertEqual(p3.x(), x3)
+        self.assertEqual(p3.y(), y3)
+        
+    # Trivial tests from X9.62 B.3:
+    def test_add(self):
+        """We expect that on curve c, (x1,y1) + (x2, y2 ) = (x3, y3)."""
+        
+        x1, y1, x2, y2, x3, y3 = (3, 10, 9, 7, 17, 20)
+        p1 = Point(self.c_23, x1, y1)
+        p2 = Point(self.c_23, x2, y2)
+        p3 = p1 + p2
+        self.assertEqual(p3.x(), x3)
+        self.assertEqual(p3.y(), y3)
+            
+    def test_add_as_double(self):
+        """We expect that on curve c, (x1,y1) + (x2, y2 ) = (x3, y3)."""
+        
+        x1, y1, x2, y2, x3, y3 = (3, 10, 3, 10, 7, 12)  
+        p1 = Point(self.c_23, x1, y1)
+        p2 = Point(self.c_23, x2, y2)
+        p3 = p1 + p2
+        self.assertEqual(p3.x(), x3)
+        self.assertEqual(p3.y(), y3)
+    
+    def test_equality_points(self):
+        self.assertEqual(self.g_23, Point(self.c_23, 13, 7, 7))
+        
+    def test_inequality_points(self):
+        c = CurveFp(100, -3, 100)
+        p = Point(c, 100, 100, 100)
+        self.assertNotEqual(self.g_23, p)
+        
+    def test_inaquality_points_diff_types(self):
+        c = CurveFp(100, -3, 100)        
+        self.assertNotEqual(self.g_23, c)
diff --git a/third_party/python/ecdsa/ecdsa/test_jacobi.py b/third_party/python/ecdsa/ecdsa/test_jacobi.py
new file mode 100644
index 0000000000..35e524212a
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_jacobi.py
@@ -0,0 +1,365 @@
+
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+
+import hypothesis.strategies as st
+from hypothesis import given, assume, settings, example
+
+from .ellipticcurve import Point, PointJacobi, INFINITY
+from .ecdsa import generator_256, curve_256, generator_224
+from .numbertheory import inverse_mod
+
+class TestJacobi(unittest.TestCase):
+    def test___init__(self):
+        curve = object()
+        x = 2
+        y = 3
+        z = 1
+        order = 4
+        pj = PointJacobi(curve, x, y, z, order)
+
+        self.assertEqual(pj.order(), order)
+        self.assertIs(pj.curve(), curve)
+        self.assertEqual(pj.x(), x)
+        self.assertEqual(pj.y(), y)
+
+    def test_add_with_different_curves(self):
+        p_a = PointJacobi.from_affine(generator_256)
+        p_b = PointJacobi.from_affine(generator_224)
+
+        with self.assertRaises(ValueError):
+            p_a + p_b
+
+    def test_compare_different_curves(self):
+        self.assertNotEqual(generator_256, generator_224)
+
+    def test_equality_with_non_point(self):
+        pj = PointJacobi.from_affine(generator_256)
+
+        self.assertNotEqual(pj, "value")
+
+    def test_conversion(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = pj.to_affine()
+
+        self.assertEqual(generator_256, pw)
+
+    def test_single_double(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = generator_256.double()
+
+        pj = pj.double()
+
+        self.assertEqual(pj.x(), pw.x())
+        self.assertEqual(pj.y(), pw.y())
+
+    def test_double_with_zero_point(self):
+        pj = PointJacobi(curve_256, 0, 0, 1)
+
+        pj = pj.double()
+
+        self.assertIs(pj, INFINITY)
+
+    def test_double_with_zero_equivalent_point(self):
+        pj = PointJacobi(curve_256, 0, curve_256.p(), 1)
+
+        pj = pj.double()
+
+        self.assertIs(pj, INFINITY)
+
+    def test_double_with_zero_equivalent_point_non_1_z(self):
+        pj = PointJacobi(curve_256, 0, curve_256.p(), 2)
+
+        pj = pj.double()
+
+        self.assertIs(pj, INFINITY)
+
+    def test_compare_with_affine_point(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pa = pj.to_affine()
+
+        self.assertEqual(pj, pa)
+        self.assertEqual(pa, pj)
+
+    def test_to_affine_with_zero_point(self):
+        pj = PointJacobi(curve_256, 0, 0, 1)
+
+        pa = pj.to_affine()
+
+        self.assertIs(pa, INFINITY)
+
+    def test_add_with_affine_point(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pa = pj.to_affine()
+
+        s = pj + pa
+
+        self.assertEqual(s, pj.double())
+
+    def test_radd_with_affine_point(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pa = pj.to_affine()
+
+        s = pa + pj
+
+        self.assertEqual(s, pj.double())
+
+    def test_add_with_infinity(self):
+        pj = PointJacobi.from_affine(generator_256)
+
+        s = pj + INFINITY
+
+        self.assertEqual(s, pj)
+
+    def test_add_zero_point_to_affine(self):
+        pa = PointJacobi.from_affine(generator_256).to_affine()
+        pj = PointJacobi(curve_256, 0, 0, 1)
+
+        s = pj + pa
+
+        self.assertIs(s, pa)
+
+    def test_multiply_by_zero(self):
+        pj = PointJacobi.from_affine(generator_256)
+
+        pj = pj * 0
+
+        self.assertIs(pj, INFINITY)
+
+    def test_zero_point_multiply_by_one(self):
+        pj = PointJacobi(curve_256, 0, 0, 1)
+
+        pj = pj * 1
+
+        self.assertIs(pj, INFINITY)
+
+    def test_multiply_by_one(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = generator_256 * 1
+
+        pj = pj * 1
+
+        self.assertEqual(pj.x(), pw.x())
+        self.assertEqual(pj.y(), pw.y())
+
+    def test_multiply_by_two(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = generator_256 * 2
+
+        pj = pj * 2
+
+        self.assertEqual(pj.x(), pw.x())
+        self.assertEqual(pj.y(), pw.y())
+
+    def test_rmul_by_two(self):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = generator_256 * 2
+
+        pj = 2 * pj
+
+        self.assertEqual(pj, pw)
+
+    def test_compare_non_zero_with_infinity(self):
+        pj = PointJacobi.from_affine(generator_256)
+
+        self.assertNotEqual(pj, INFINITY)
+
+    def test_compare_zero_point_with_infinity(self):
+        pj = PointJacobi(curve_256, 0, 0, 1)
+
+        self.assertEqual(pj, INFINITY)
+
+    def test_compare_double_with_multiply(self):
+        pj = PointJacobi.from_affine(generator_256)
+        dbl = pj.double()
+        mlpl = pj * 2
+
+        self.assertEqual(dbl, mlpl)
+
+    @settings(max_examples=10)
+    @given(st.integers(min_value=0, max_value=int(generator_256.order())))
+    def test_multiplications(self, mul):
+        pj = PointJacobi.from_affine(generator_256)
+        pw = pj.to_affine() * mul
+
+        pj = pj * mul
+
+        self.assertEqual((pj.x(), pj.y()), (pw.x(), pw.y()))
+        self.assertEqual(pj, pw)
+
+    @settings(max_examples=10)
+    @given(st.integers(min_value=0, max_value=int(generator_256.order())))
+    @example(0)
+    @example(int(generator_256.order()))
+    def test_precompute(self, mul):
+        precomp = PointJacobi.from_affine(generator_256, True)
+        pj = PointJacobi.from_affine(generator_256)
+
+        a = precomp * mul
+        b = pj * mul
+
+        self.assertEqual(a, b)
+
+    @settings(max_examples=10)
+    @given(st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(generator_256.order())))
+    @example(3, 3)
+    def test_add_scaled_points(self, a_mul, b_mul):
+        j_g = PointJacobi.from_affine(generator_256)
+        a = PointJacobi.from_affine(j_g * a_mul)
+        b = PointJacobi.from_affine(j_g * b_mul)
+
+        c = a + b
+
+        self.assertEqual(c, j_g * (a_mul + b_mul))
+
+    @settings(max_examples=10)
+    @given(st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(curve_256.p()-1)))
+    def test_add_one_scaled_point(self, a_mul, b_mul, new_z):
+        j_g = PointJacobi.from_affine(generator_256)
+        a = PointJacobi.from_affine(j_g * a_mul)
+        b = PointJacobi.from_affine(j_g * b_mul)
+
+        p = curve_256.p()
+
+        assume(inverse_mod(new_z, p))
+
+        new_zz = new_z * new_z % p
+
+        b = PointJacobi(
+            curve_256, b.x() * new_zz % p, b.y() * new_zz * new_z % p, new_z)
+
+        c = a + b
+
+        self.assertEqual(c, j_g * (a_mul + b_mul))
+
+    @settings(max_examples=10)
+    @given(st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(curve_256.p()-1)))
+    @example(1, 1, 1)
+    @example(3, 3, 3)
+    @example(2, int(generator_256.order()-2), 1)
+    @example(2, int(generator_256.order()-2), 3)
+    def test_add_same_scale_points(self, a_mul, b_mul, new_z):
+        j_g = PointJacobi.from_affine(generator_256)
+        a = PointJacobi.from_affine(j_g * a_mul)
+        b = PointJacobi.from_affine(j_g * b_mul)
+
+        p = curve_256.p()
+
+        assume(inverse_mod(new_z, p))
+
+        new_zz = new_z * new_z % p
+
+        a = PointJacobi(
+            curve_256, a.x() * new_zz % p, a.y() * new_zz * new_z % p, new_z)
+        b = PointJacobi(
+            curve_256, b.x() * new_zz % p, b.y() * new_zz * new_z % p, new_z)
+
+        c = a + b
+
+        self.assertEqual(c, j_g * (a_mul + b_mul))
+
+    @settings(max_examples=14)
+    @given(st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.integers(min_value=1, max_value=int(generator_256.order())),
+           st.lists(st.integers(min_value=1, max_value=int(curve_256.p()-1)),
+                    min_size=2, max_size=2, unique=True))
+    @example(2, 2, [2, 1])
+    @example(2, 2, [2, 3])
+    @example(2, int(generator_256.order()-2), [2, 3])
+    @example(2, int(generator_256.order()-2), [2, 1])
+    def test_add_different_scale_points(self, a_mul, b_mul, new_z):
+        j_g = PointJacobi.from_affine(generator_256)
+        a = PointJacobi.from_affine(j_g * a_mul)
+        b = PointJacobi.from_affine(j_g * b_mul)
+
+        p = curve_256.p()
+
+        assume(inverse_mod(new_z[0], p))
+        assume(inverse_mod(new_z[1], p))
+
+        new_zz0 = new_z[0] * new_z[0] % p
+        new_zz1 = new_z[1] * new_z[1] % p
+
+        a = PointJacobi(
+            curve_256,
+            a.x() * new_zz0 % p,
+            a.y() * new_zz0 * new_z[0] % p,
+            new_z[0])
+        b = PointJacobi(
+            curve_256,
+            b.x() * new_zz1 % p,
+            b.y() * new_zz1 * new_z[1] % p,
+            new_z[1])
+
+        c = a + b
+
+        self.assertEqual(c, j_g * (a_mul + b_mul))
+
+    def test_add_point_3_times(self):
+        j_g = PointJacobi.from_affine(generator_256)
+
+        self.assertEqual(j_g * 3, j_g + j_g + j_g)
+
+    def test_mul_add_inf(self):
+        j_g = PointJacobi.from_affine(generator_256)
+
+        self.assertEqual(j_g, j_g.mul_add(1, INFINITY, 1))
+
+    def test_mul_add_same(self):
+        j_g = PointJacobi.from_affine(generator_256)
+
+        self.assertEqual(j_g * 2, j_g.mul_add(1, j_g, 1))
+
+    def test_mul_add_precompute(self):
+        j_g = PointJacobi.from_affine(generator_256, True)
+        b = PointJacobi.from_affine(j_g * 255, True)
+
+        self.assertEqual(j_g * 256, j_g + b)
+        self.assertEqual(j_g * (5 + 255 * 7), j_g * 5 + b * 7)
+        self.assertEqual(j_g * (5 + 255 * 7), j_g.mul_add(5, b, 7))
+
+    def test_mul_add_precompute_large(self):
+        j_g = PointJacobi.from_affine(generator_256, True)
+        b = PointJacobi.from_affine(j_g * 255, True)
+
+        self.assertEqual(j_g * 256, j_g + b)
+        self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0),
+                         j_g * 0xff00 + b * 0xf0f0)
+        self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0),
+                         j_g.mul_add(0xff00, b, 0xf0f0))
+
+    def test_mul_add_to_mul(self):
+        j_g = PointJacobi.from_affine(generator_256)
+
+        a = j_g * 3
+        b = j_g.mul_add(2, j_g, 1)
+
+        self.assertEqual(a, b)
+
+    def test_mul_add(self):
+        j_g = PointJacobi.from_affine(generator_256)
+
+        w_a = generator_256 * 255
+        w_b = generator_256 * (0xa8*0xf0)
+        j_b = j_g * 0xa8
+
+        ret = j_g.mul_add(255, j_b, 0xf0)
+
+        self.assertEqual(ret.to_affine(), w_a + w_b)
+
+    def test_mul_add_large(self):
+        j_g = PointJacobi.from_affine(generator_256)
+        b = PointJacobi.from_affine(j_g * 255)
+
+        self.assertEqual(j_g * 256, j_g + b)
+        self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0),
+                         j_g * 0xff00 + b * 0xf0f0)
+        self.assertEqual(j_g * (0xff00 + 255 * 0xf0f0),
+                         j_g.mul_add(0xff00, b, 0xf0f0))
diff --git a/third_party/python/ecdsa/ecdsa/test_keys.py b/third_party/python/ecdsa/ecdsa/test_keys.py
new file mode 100644
index 0000000000..56e128421e
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_keys.py
@@ -0,0 +1,373 @@
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+
+try:
+    buffer
+except NameError:
+    buffer = memoryview
+
+import array
+import six
+import sys
+import pytest
+import hashlib
+
+from .keys import VerifyingKey, SigningKey
+from .der import unpem
+from .util import sigencode_string, sigencode_der, sigencode_strings, \
+    sigdecode_string, sigdecode_der, sigdecode_strings
+
+
+class TestVerifyingKeyFromString(unittest.TestCase):
+    """
+    Verify that ecdsa.keys.VerifyingKey.from_string() can be used with
+    bytes-like objects
+    """
+
+    @classmethod
+    def setUpClass(cls):
+        cls.key_bytes = (b'\x04L\xa2\x95\xdb\xc7Z\xd7\x1f\x93\nz\xcf\x97\xcf'
+                       b'\xd7\xc2\xd9o\xfe8}X!\xae\xd4\xfah\xfa^\rpI\xba\xd1'
+                       b'Y\xfb\x92xa\xebo+\x9cG\xfav\xca')
+        cls.vk = VerifyingKey.from_string(cls.key_bytes)
+
+    def test_bytes(self):
+        self.assertIsNotNone(self.vk)
+        self.assertIsInstance(self.vk, VerifyingKey)
+        self.assertEqual(
+            self.vk.pubkey.point.x(),
+            105419898848891948935835657980914000059957975659675736097)
+        self.assertEqual(
+            self.vk.pubkey.point.y(),
+            4286866841217412202667522375431381222214611213481632495306)
+
+    def test_bytes_memoryview(self):
+        vk = VerifyingKey.from_string(buffer(self.key_bytes))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytearray(self):
+        vk = VerifyingKey.from_string(bytearray(self.key_bytes))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytesarray_memoryview(self):
+        vk = VerifyingKey.from_string(buffer(bytearray(self.key_bytes)))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_bytes(self):
+        arr = array.array('B', self.key_bytes)
+        vk = VerifyingKey.from_string(arr)
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_bytes_memoryview(self):
+        arr = array.array('B', self.key_bytes)
+        vk = VerifyingKey.from_string(buffer(arr))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_ints(self):
+        arr = array.array('I', self.key_bytes)
+        vk = VerifyingKey.from_string(arr)
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_ints_memoryview(self):
+        arr = array.array('I', self.key_bytes)
+        vk = VerifyingKey.from_string(buffer(arr))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytes_uncompressed(self):
+        vk = VerifyingKey.from_string(b'\x04' + self.key_bytes)
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytearray_uncompressed(self):
+        vk = VerifyingKey.from_string(bytearray(b'\x04' + self.key_bytes))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytes_compressed(self):
+        vk = VerifyingKey.from_string(b'\x02' + self.key_bytes[:24])
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytearray_compressed(self):
+        vk = VerifyingKey.from_string(bytearray(b'\x02' + self.key_bytes[:24]))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+
+class TestVerifyingKeyFromDer(unittest.TestCase):
+    """
+    Verify that ecdsa.keys.VerifyingKey.from_der() can be used with
+    bytes-like objects.
+    """
+    @classmethod
+    def setUpClass(cls):
+        prv_key_str = (
+            "-----BEGIN EC PRIVATE KEY-----\n"
+            "MF8CAQEEGF7IQgvW75JSqULpiQQ8op9WH6Uldw6xxaAKBggqhkjOPQMBAaE0AzIA\n"
+            "BLiBd9CE7xf15FY5QIAoNg+fWbSk1yZOYtoGUdzkejWkxbRc9RWTQjqLVXucIJnz\n"
+            "bA==\n"
+            "-----END EC PRIVATE KEY-----\n")
+        key_str = (
+            "-----BEGIN PUBLIC KEY-----\n"
+            "MEkwEwYHKoZIzj0CAQYIKoZIzj0DAQEDMgAEuIF30ITvF/XkVjlAgCg2D59ZtKTX\n"
+            "Jk5i2gZR3OR6NaTFtFz1FZNCOotVe5wgmfNs\n"
+            "-----END PUBLIC KEY-----\n")
+        cls.key_pem = key_str
+
+        cls.key_bytes = unpem(key_str)
+        assert isinstance(cls.key_bytes, bytes)
+        cls.vk = VerifyingKey.from_pem(key_str)
+        cls.sk = SigningKey.from_pem(prv_key_str)
+
+        key_str = (
+            "-----BEGIN PUBLIC KEY-----\n"
+            "MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE4H3iRbG4TSrsSRb/gusPQB/4YcN8\n"
+            "Poqzgjau4kfxBPyZimeRfuY/9g/wMmPuhGl4BUve51DsnKJFRr8psk0ieA==\n"
+            "-----END PUBLIC KEY-----\n"
+        )
+        cls.vk2 = VerifyingKey.from_pem(key_str)
+
+    def test_custom_hashfunc(self):
+        vk = VerifyingKey.from_der(self.key_bytes, hashlib.sha256)
+
+        self.assertIs(vk.default_hashfunc, hashlib.sha256)
+
+    def test_from_pem_with_custom_hashfunc(self):
+        vk = VerifyingKey.from_pem(self.key_pem, hashlib.sha256)
+
+        self.assertIs(vk.default_hashfunc, hashlib.sha256)
+
+    def test_bytes(self):
+        vk = VerifyingKey.from_der(self.key_bytes)
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytes_memoryview(self):
+        vk = VerifyingKey.from_der(buffer(self.key_bytes))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytearray(self):
+        vk = VerifyingKey.from_der(bytearray(self.key_bytes))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_bytesarray_memoryview(self):
+        vk = VerifyingKey.from_der(buffer(bytearray(self.key_bytes)))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_bytes(self):
+        arr = array.array('B', self.key_bytes)
+        vk = VerifyingKey.from_der(arr)
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_array_array_of_bytes_memoryview(self):
+        arr = array.array('B', self.key_bytes)
+        vk = VerifyingKey.from_der(buffer(arr))
+
+        self.assertEqual(self.vk.to_string(), vk.to_string())
+
+    def test_equality_on_verifying_keys(self):
+        self.assertEqual(self.vk, self.sk.get_verifying_key())
+
+    def test_inequality_on_verifying_keys(self):
+        self.assertNotEqual(self.vk, self.vk2)
+
+    def test_inequality_on_verifying_keys_not_implemented(self):
+        self.assertNotEqual(self.vk, None)
+
+
+class TestSigningKey(unittest.TestCase):
+    """
+    Verify that ecdsa.keys.SigningKey.from_der() can be used with
+    bytes-like objects.
+    """
+    @classmethod
+    def setUpClass(cls):
+        prv_key_str = (
+            "-----BEGIN EC PRIVATE KEY-----\n"
+            "MF8CAQEEGF7IQgvW75JSqULpiQQ8op9WH6Uldw6xxaAKBggqhkjOPQMBAaE0AzIA\n"
+            "BLiBd9CE7xf15FY5QIAoNg+fWbSk1yZOYtoGUdzkejWkxbRc9RWTQjqLVXucIJnz\n"
+            "bA==\n"
+            "-----END EC PRIVATE KEY-----\n")
+        cls.sk1 = SigningKey.from_pem(prv_key_str) 
+        
+        prv_key_str = (
+            "-----BEGIN EC PRIVATE KEY-----\n"
+            "MHcCAQEEIKlL2EAm5NPPZuXwxRf4nXMk0A80y6UUbiQ17be/qFhRoAoGCCqGSM49\n"
+            "AwEHoUQDQgAE4H3iRbG4TSrsSRb/gusPQB/4YcN8Poqzgjau4kfxBPyZimeRfuY/\n"
+            "9g/wMmPuhGl4BUve51DsnKJFRr8psk0ieA==\n"
+            "-----END EC PRIVATE KEY-----\n")
+        cls.sk2 = SigningKey.from_pem(prv_key_str) 
+        
+    def test_equality_on_signing_keys(self):        
+        sk = SigningKey.from_secret_exponent(self.sk1.privkey.secret_multiplier, self.sk1.curve)
+        self.assertEqual(self.sk1, sk)
+        
+    def test_inequality_on_signing_keys(self):
+        self.assertNotEqual(self.sk1, self.sk2)
+        
+    def test_inequality_on_signing_keys_not_implemented(self):
+        self.assertNotEqual(self.sk1, None)
+
+# test VerifyingKey.verify()
+prv_key_str = (
+    "-----BEGIN EC PRIVATE KEY-----\n"
+    "MF8CAQEEGF7IQgvW75JSqULpiQQ8op9WH6Uldw6xxaAKBggqhkjOPQMBAaE0AzIA\n"
+    "BLiBd9CE7xf15FY5QIAoNg+fWbSk1yZOYtoGUdzkejWkxbRc9RWTQjqLVXucIJnz\n"
+    "bA==\n"
+    "-----END EC PRIVATE KEY-----\n")
+key_bytes = unpem(prv_key_str)
+assert isinstance(key_bytes, bytes)
+sk = SigningKey.from_der(key_bytes)
+vk = sk.verifying_key
+
+data = (b"some string for signing"
+        b"contents don't really matter"
+        b"but do include also some crazy values: "
+        b"\x00\x01\t\r\n\x00\x00\x00\xff\xf0")
+assert len(data) % 4 == 0
+sha1 = hashlib.sha1()
+sha1.update(data)
+data_hash = sha1.digest()
+assert isinstance(data_hash, bytes)
+sig_raw = sk.sign(data, sigencode=sigencode_string)
+assert isinstance(sig_raw, bytes)
+sig_der = sk.sign(data, sigencode=sigencode_der)
+assert isinstance(sig_der, bytes)
+sig_strings = sk.sign(data, sigencode=sigencode_strings)
+assert isinstance(sig_strings[0], bytes)
+
+verifiers = []
+for modifier, fun in [
+    ("bytes", lambda x: x),
+    ("bytes memoryview", lambda x: buffer(x)),
+    ("bytearray", lambda x: bytearray(x)),
+    ("bytearray memoryview", lambda x: buffer(bytearray(x))),
+    ("array.array of bytes", lambda x: array.array('B', x)),
+    ("array.array of bytes memoryview", lambda x: buffer(array.array('B', x))),
+    ("array.array of ints", lambda x: array.array('I', x)),
+    ("array.array of ints memoryview", lambda x: buffer(array.array('I', x)))
+    ]:
+    if "ints" in modifier:
+        conv = lambda x: x
+    else:
+        conv = fun
+    for sig_format, signature, decoder, mod_apply in [
+        ("raw", sig_raw, sigdecode_string, lambda x: conv(x)),
+        ("der", sig_der, sigdecode_der, lambda x: conv(x)),
+        ("strings", sig_strings, sigdecode_strings, lambda x:
+            tuple(conv(i) for i in x))
+        ]:
+        for method_name, vrf_mthd, vrf_data in [
+            ("verify", vk.verify, data),
+            ("verify_digest", vk.verify_digest, data_hash)
+            ]:
+            verifiers.append(pytest.param(
+                signature, decoder, mod_apply, fun, vrf_mthd, vrf_data,
+                id="{2}-{0}-{1}".format(modifier, sig_format, method_name)))
+
+@pytest.mark.parametrize(
+    "signature,decoder,mod_apply,fun,vrf_mthd,vrf_data",
+    verifiers)
+def test_VerifyingKey_verify(
+        signature, decoder, mod_apply, fun, vrf_mthd, vrf_data):
+    sig = mod_apply(signature)
+
+    assert vrf_mthd(sig, fun(vrf_data), sigdecode=decoder)
+
+
+# test SigningKey.from_string()
+prv_key_bytes = (b'^\xc8B\x0b\xd6\xef\x92R\xa9B\xe9\x89\x04<\xa2'
+                 b'\x9fV\x1f\xa5%w\x0e\xb1\xc5')
+assert len(prv_key_bytes) == 24
+converters = []
+for modifier, convert in [
+        ("bytes", lambda x: x),
+        ("bytes memoryview", buffer),
+        ("bytearray", bytearray),
+        ("bytearray memoryview", lambda x: buffer(bytearray(x))),
+        ("array.array of bytes", lambda x: array.array('B', x)),
+        ("array.array of bytes memoryview",
+         lambda x: buffer(array.array('B', x))),
+        ("array.array of ints", lambda x: array.array('I', x)),
+        ("array.array of ints memoryview",
+         lambda x: buffer(array.array('I', x)))
+        ]:
+    converters.append(pytest.param(
+        convert,
+        id=modifier))
+
+@pytest.mark.parametrize("convert", converters)
+def test_SigningKey_from_string(convert):
+    key = convert(prv_key_bytes)
+    sk = SigningKey.from_string(key)
+
+    assert sk.to_string() == prv_key_bytes
+
+
+# test SigningKey.from_der()
+prv_key_str = (
+    "-----BEGIN EC PRIVATE KEY-----\n"
+    "MF8CAQEEGF7IQgvW75JSqULpiQQ8op9WH6Uldw6xxaAKBggqhkjOPQMBAaE0AzIA\n"
+    "BLiBd9CE7xf15FY5QIAoNg+fWbSk1yZOYtoGUdzkejWkxbRc9RWTQjqLVXucIJnz\n"
+    "bA==\n"
+    "-----END EC PRIVATE KEY-----\n")
+key_bytes = unpem(prv_key_str)
+assert isinstance(key_bytes, bytes)
+
+# last two converters are for array.array of ints, those require input
+# that's multiple of 4, which no curve we support produces
+@pytest.mark.parametrize("convert", converters[:-2])
+def test_SigningKey_from_der(convert):
+    key = convert(key_bytes)
+    sk = SigningKey.from_der(key)
+
+    assert sk.to_string() == prv_key_bytes
+
+
+# test SigningKey.sign_deterministic()
+extra_entropy=b'\x0a\x0b\x0c\x0d\x0e\x0f\x10\x11'
+
+@pytest.mark.parametrize("convert", converters)
+def test_SigningKey_sign_deterministic(convert):
+    sig = sk.sign_deterministic(
+        convert(data),
+        extra_entropy=convert(extra_entropy))
+
+    vk.verify(sig, data)
+
+
+# test SigningKey.sign_digest_deterministic()
+@pytest.mark.parametrize("convert", converters)
+def test_SigningKey_sign_digest_deterministic(convert):
+    sig = sk.sign_digest_deterministic(
+        convert(data_hash),
+        extra_entropy=convert(extra_entropy))
+
+    vk.verify(sig, data)
+
+
+@pytest.mark.parametrize("convert", converters)
+def test_SigningKey_sign(convert):
+    sig = sk.sign(convert(data))
+
+    vk.verify(sig, data)
+
+
+@pytest.mark.parametrize("convert", converters)
+def test_SigningKey_sign_digest(convert):
+    sig = sk.sign_digest(convert(data_hash))
+
+    vk.verify(sig, data)
diff --git a/third_party/python/ecdsa/ecdsa/test_malformed_sigs.py b/third_party/python/ecdsa/ecdsa/test_malformed_sigs.py
new file mode 100644
index 0000000000..c1dca44a0e
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_malformed_sigs.py
@@ -0,0 +1,306 @@
+from __future__ import with_statement, division
+
+import hashlib
+try:
+    from hashlib import algorithms_available
+except ImportError:  # pragma: no cover
+    algorithms_available = [
+        "md5", "sha1", "sha224", "sha256", "sha384", "sha512"]
+from functools import partial
+import pytest
+import sys
+from six import binary_type
+import hypothesis.strategies as st
+from hypothesis import note, assume, given, settings, example
+
+from .keys import SigningKey
+from .keys import BadSignatureError
+from .util import sigencode_der, sigencode_string
+from .util import sigdecode_der, sigdecode_string
+from .curves import curves, NIST256p
+from .der import encode_integer, encode_bitstring, encode_octet_string, \
+    encode_oid, encode_sequence, encode_constructed
+
+
+example_data = b"some data to sign"
+"""Since the data is hashed for processing, really any string will do."""
+
+
+hash_and_size = [(name, hashlib.new(name).digest_size)
+                 for name in algorithms_available]
+"""Pairs of hash names and their output sizes.
+Needed for pairing with curves as we don't support hashes
+bigger than order sizes of curves."""
+
+
+keys_and_sigs = []
+"""Name of the curve+hash combination, VerifyingKey and DER signature."""
+
+
+# for hypothesis strategy shrinking we want smallest curves and hashes first
+for curve in sorted(curves, key=lambda x: x.baselen):
+    for hash_alg in [name for name, size in
+                     sorted(hash_and_size, key=lambda x: x[1])
+                     if 0 < size <= curve.baselen]:
+        sk = SigningKey.generate(
+            curve,
+            hashfunc=partial(hashlib.new, hash_alg))
+
+        keys_and_sigs.append(
+            ("{0} {1}".format(curve, hash_alg),
+             sk.verifying_key,
+             sk.sign(example_data, sigencode=sigencode_der)))
+
+
+# first make sure that the signatures can be verified
+@pytest.mark.parametrize(
+    "verifying_key,signature",
+    [pytest.param(vk, sig, id=name) for name, vk, sig in keys_and_sigs])
+def test_signatures(verifying_key, signature):
+    assert verifying_key.verify(signature, example_data,
+                                sigdecode=sigdecode_der)
+
+
+@st.composite
+def st_fuzzed_sig(draw, keys_and_sigs):
+    """
+    Hypothesis strategy that generates pairs of VerifyingKey and malformed
+    signatures created by fuzzing of a valid signature.
+    """
+    name, verifying_key, old_sig = draw(st.sampled_from(keys_and_sigs))
+    note("Configuration: {0}".format(name))
+
+    sig = bytearray(old_sig)
+
+    # decide which bytes should be removed
+    to_remove = draw(st.lists(
+        st.integers(min_value=0, max_value=len(sig)-1),
+        unique=True))
+    to_remove.sort()
+    for i in reversed(to_remove):
+        del sig[i]
+    note("Remove bytes: {0}".format(to_remove))
+
+    # decide which bytes of the original signature should be changed
+    if sig:  # pragma: no branch
+        xors = draw(st.dictionaries(
+            st.integers(min_value=0, max_value=len(sig)-1),
+            st.integers(min_value=1, max_value=255)))
+        for i, val in xors.items():
+            sig[i] ^= val
+        note("xors: {0}".format(xors))
+
+    # decide where new data should be inserted
+    insert_pos = draw(st.integers(min_value=0, max_value=len(sig)))
+    # NIST521p signature is about 140 bytes long, test slightly longer
+    insert_data = draw(st.binary(max_size=256))
+
+    sig = sig[:insert_pos] + insert_data + sig[insert_pos:]
+    note("Inserted at position {0} bytes: {1!r}"
+         .format(insert_pos, insert_data))
+
+    sig = bytes(sig)
+    # make sure that there was performed at least one mutation on the data
+    assume(to_remove or xors or insert_data)
+    # and that the mutations didn't cancel each-other out
+    assume(sig != old_sig)
+
+    return verifying_key, sig
+
+
+params = {}
+# not supported in hypothesis 2.0.0
+if sys.version_info >= (2, 7):  # pragma: no branch
+    from hypothesis import HealthCheck
+    # deadline=5s because NIST521p are slow to verify
+    params["deadline"] = 5000
+    params["suppress_health_check"] = [HealthCheck.data_too_large,
+                                       HealthCheck.filter_too_much,
+                                       HealthCheck.too_slow]
+
+slow_params = dict(params)
+slow_params["max_examples"] = 10
+
+
+@settings(**params)
+@given(st_fuzzed_sig(keys_and_sigs))
+def test_fuzzed_der_signatures(args):
+    verifying_key, sig = args
+
+    with pytest.raises(BadSignatureError):
+        verifying_key.verify(sig, example_data, sigdecode=sigdecode_der)
+
+
+@st.composite
+def st_random_der_ecdsa_sig_value(draw):
+    """
+    Hypothesis strategy for selecting random values and encoding them
+    to ECDSA-Sig-Value object::
+
+        ECDSA-Sig-Value ::= SEQUENCE {
+            r INTEGER,
+            s INTEGER
+        }
+    """
+    name, verifying_key, _ = draw(st.sampled_from(keys_and_sigs))
+    note("Configuration: {0}".format(name))
+    order = int(verifying_key.curve.order)
+
+    # the encode_integer doesn't suport negative numbers, would be nice
+    # to generate them too, but we have coverage for remove_integer()
+    # verifying that it doesn't accept them, so meh.
+    # Test all numbers around the ones that can show up (around order)
+    # way smaller and slightly bigger
+    r = draw(st.integers(min_value=0, max_value=order << 4) |
+             st.integers(min_value=order >> 2, max_value=order+1))
+    s = draw(st.integers(min_value=0, max_value=order << 4) |
+             st.integers(min_value=order >> 2, max_value=order+1))
+
+    sig = encode_sequence(encode_integer(r), encode_integer(s))
+
+    return verifying_key, sig
+
+
+@settings(**slow_params)
+@given(st_random_der_ecdsa_sig_value())
+def test_random_der_ecdsa_sig_value(params):
+    """
+    Check if random values encoded in ECDSA-Sig-Value structure are rejected
+    as signature.
+    """
+    verifying_key, sig = params
+
+    with pytest.raises(BadSignatureError):
+        verifying_key.verify(sig, example_data, sigdecode=sigdecode_der)
+
+
+def st_der_integer(*args, **kwargs):
+    """
+    Hypothesis strategy that returns a random positive integer as DER
+    INTEGER.
+    Parameters are passed to hypothesis.strategy.integer.
+    """
+    if "min_value" not in kwargs:  # pragma: no branch
+        kwargs["min_value"] = 0
+    return st.builds(encode_integer, st.integers(*args, **kwargs))
+
+
+@st.composite
+def st_der_bit_string(draw, *args, **kwargs):
+    """
+    Hypothesis strategy that returns a random DER BIT STRING.
+    Parameters are passed to hypothesis.strategy.binary.
+    """
+    data = draw(st.binary(*args, **kwargs))
+    if data:
+        unused = draw(st.integers(min_value=0, max_value=7))
+        data = bytearray(data)
+        data[-1] &= - (2**unused)
+        data = bytes(data)
+    else:
+        unused = 0
+    return encode_bitstring(data, unused)
+
+
+def st_der_octet_string(*args, **kwargs):
+    """
+    Hypothesis strategy that returns a random DER OCTET STRING object.
+    Parameters are passed to hypothesis.strategy.binary
+    """
+    return st.builds(encode_octet_string, st.binary(*args, **kwargs))
+
+
+def st_der_null():
+    """
+    Hypothesis strategy that returns DER NULL object.
+    """
+    return st.just(b'\x05\x00')
+
+
+@st.composite
+def st_der_oid(draw):
+    """
+    Hypothesis strategy that returns DER OBJECT IDENTIFIER objects.
+    """
+    first = draw(st.integers(min_value=0, max_value=2))
+    if first < 2:
+        second = draw(st.integers(min_value=0, max_value=39))
+    else:
+        second = draw(st.integers(min_value=0, max_value=2**512))
+    rest = draw(st.lists(st.integers(min_value=0, max_value=2**512),
+                         max_size=50))
+    return encode_oid(first, second, *rest)
+
+
+def st_der():
+    """
+    Hypothesis strategy that returns random DER structures.
+
+    A valid DER structure is any primitive object, an octet encoding
+    of a valid DER structure, sequence of valid DER objects or a constructed
+    encoding of any of the above.
+    """
+    return st.recursive(
+        st.just(b'') | st_der_integer(max_value=2**4096) |
+        st_der_bit_string(max_size=1024**2) |
+        st_der_octet_string(max_size=1024**2) | st_der_null() | st_der_oid(),
+        lambda children:
+            st.builds(lambda x: encode_octet_string(x), st.one_of(children)) |
+            st.builds(lambda x: encode_bitstring(x, 0), st.one_of(children)) |
+            st.builds(lambda x: encode_sequence(*x),
+                      st.lists(children, max_size=200)) |
+            st.builds(lambda tag, x:
+                      encode_constructed(tag, x),
+                      st.integers(min_value=0, max_value=0x3f),
+                      st.one_of(children)),
+        max_leaves=40
+        )
+
+
+@settings(**params)
+@given(st.sampled_from(keys_and_sigs), st_der())
+def test_random_der_as_signature(params, der):
+    """Check if random DER structures are rejected as signature"""
+    name, verifying_key, _ = params
+
+    with pytest.raises(BadSignatureError):
+        verifying_key.verify(der, example_data, sigdecode=sigdecode_der)
+
+
+@settings(**params)
+@given(st.sampled_from(keys_and_sigs), st.binary(max_size=1024**2))
+@example(
+    keys_and_sigs[0],
+    encode_sequence(encode_integer(0), encode_integer(0)))
+@example(
+    keys_and_sigs[0],
+    encode_sequence(encode_integer(1), encode_integer(1)) + b'\x00')
+@example(
+    keys_and_sigs[0],
+    encode_sequence(*[encode_integer(1)] * 3))
+def test_random_bytes_as_signature(params, der):
+    """Check if random bytes are rejected as signature"""
+    name, verifying_key, _ = params
+
+    with pytest.raises(BadSignatureError):
+        verifying_key.verify(der, example_data, sigdecode=sigdecode_der)
+
+
+keys_and_string_sigs = [
+    (name, verifying_key,
+     sigencode_string(*sigdecode_der(sig, verifying_key.curve.order),
+                      order=verifying_key.curve.order))
+    for name, verifying_key, sig in keys_and_sigs]
+"""
+Name of the curve+hash combination, VerifyingKey and signature as a
+byte string.
+"""
+
+
+@settings(**params)
+@given(st_fuzzed_sig(keys_and_string_sigs))
+def test_fuzzed_string_signatures(params):
+    verifying_key, sig = params
+
+    with pytest.raises(BadSignatureError):
+        verifying_key.verify(sig, example_data, sigdecode=sigdecode_string)
diff --git a/third_party/python/ecdsa/ecdsa/test_numbertheory.py b/third_party/python/ecdsa/ecdsa/test_numbertheory.py
new file mode 100644
index 0000000000..4cec4fd6a7
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_numbertheory.py
@@ -0,0 +1,275 @@
+import operator
+from six import print_
+from functools import reduce
+import operator
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+import hypothesis.strategies as st
+import pytest
+from hypothesis import given, settings, example
+try:
+    from hypothesis import HealthCheck
+    HC_PRESENT=True
+except ImportError:  # pragma: no cover
+    HC_PRESENT=False
+from .numbertheory import (SquareRootError, factorization, gcd, lcm,
+                           jacobi, inverse_mod,
+                           is_prime, next_prime, smallprimes,
+                           square_root_mod_prime)
+
+
+BIGPRIMES = (999671,
+             999683,
+             999721,
+             999727,
+             999749,
+             999763,
+             999769,
+             999773,
+             999809,
+             999853,
+             999863,
+             999883,
+             999907,
+             999917,
+             999931,
+             999953,
+             999959,
+             999961,
+             999979,
+             999983)
+
+
+@pytest.mark.parametrize(
+    "prime, next_p",
+    [(p, q) for p, q in zip(BIGPRIMES[:-1], BIGPRIMES[1:])])
+def test_next_prime(prime, next_p):
+    assert next_prime(prime) == next_p
+
+
+@pytest.mark.parametrize(
+    "val",
+    [-1, 0, 1])
+def test_next_prime_with_nums_less_2(val):
+    assert next_prime(val) == 2
+
+
+@pytest.mark.parametrize("prime", smallprimes)
+def test_square_root_mod_prime_for_small_primes(prime):
+    squares = set()
+    for num in range(0, 1 + prime // 2):
+        sq = num * num % prime
+        squares.add(sq)
+        root = square_root_mod_prime(sq, prime)
+        # tested for real with TestNumbertheory.test_square_root_mod_prime
+        assert root * root % prime == sq
+
+    for nonsquare in range(0, prime):
+        if nonsquare in squares:
+            continue
+        with pytest.raises(SquareRootError):
+            square_root_mod_prime(nonsquare, prime)
+
+
+@st.composite
+def st_two_nums_rel_prime(draw):
+    # 521-bit is the biggest curve we operate on, use 1024 for a bit
+    # of breathing space
+    mod = draw(st.integers(min_value=2, max_value=2**1024))
+    num = draw(st.integers(min_value=1, max_value=mod-1)
+               .filter(lambda x: gcd(x, mod) == 1))
+    return num, mod
+
+
+@st.composite
+def st_primes(draw, *args, **kwargs):
+    if "min_value" not in kwargs:  # pragma: no branch
+        kwargs["min_value"] = 1
+    prime = draw(st.sampled_from(smallprimes) |
+                 st.integers(*args, **kwargs)
+                 .filter(is_prime))
+    return prime
+
+
+@st.composite
+def st_num_square_prime(draw):
+    prime = draw(st_primes(max_value=2**1024))
+    num = draw(st.integers(min_value=0, max_value=1 + prime // 2))
+    sq = num * num % prime
+    return sq, prime
+
+
+@st.composite
+def st_comp_with_com_fac(draw):
+    """
+    Strategy that returns lists of numbers, all having a common factor.
+    """
+    primes = draw(st.lists(st_primes(max_value=2**512), min_size=1,
+                           max_size=10))
+    # select random prime(s) that will make the common factor of composites
+    com_fac_primes = draw(st.lists(st.sampled_from(primes),
+                                   min_size=1, max_size=20))
+    com_fac = reduce(operator.mul, com_fac_primes, 1)
+
+    # select at most 20 lists (returned numbers),
+    # each having at most 30 primes (factors) including none (then the number
+    # will be 1)
+    comp_primes = draw(
+        st.integers(min_value=1, max_value=20).
+        flatmap(lambda n: st.lists(st.lists(st.sampled_from(primes),
+                                            max_size=30),
+                                   min_size=1, max_size=n)))
+
+    return [reduce(operator.mul, nums, 1) * com_fac for nums in comp_primes]
+
+
+@st.composite
+def st_comp_no_com_fac(draw):
+    """
+    Strategy that returns lists of numbers that don't have a common factor.
+    """
+    primes = draw(st.lists(st_primes(max_value=2**512),
+                           min_size=2, max_size=10, unique=True))
+    # first select the primes that will create the uncommon factor
+    # between returned numbers
+    uncom_fac_primes = draw(st.lists(
+        st.sampled_from(primes),
+        min_size=1, max_size=len(primes)-1, unique=True))
+    uncom_fac = reduce(operator.mul, uncom_fac_primes, 1)
+
+    # then build composites from leftover primes
+    leftover_primes = [i for i in primes if i not in uncom_fac_primes]
+
+    assert leftover_primes
+    assert uncom_fac_primes
+
+    # select at most 20 lists, each having at most 30 primes
+    # selected from the leftover_primes list
+    number_primes = draw(
+        st.integers(min_value=1, max_value=20).
+        flatmap(lambda n: st.lists(st.lists(st.sampled_from(leftover_primes),
+                                            max_size=30),
+                                   min_size=1, max_size=n)))
+
+    numbers = [reduce(operator.mul, nums, 1) for nums in number_primes]
+
+    insert_at = draw(st.integers(min_value=0, max_value=len(numbers)))
+    numbers.insert(insert_at, uncom_fac)
+    return numbers
+
+
+HYP_SETTINGS = {}
+if HC_PRESENT:  # pragma: no branch
+    HYP_SETTINGS['suppress_health_check']=[HealthCheck.filter_too_much,
+                                           HealthCheck.too_slow]
+    # the factorization() sometimes takes a long time to finish
+    HYP_SETTINGS['deadline'] = 5000
+
+
+HYP_SLOW_SETTINGS=dict(HYP_SETTINGS)
+HYP_SLOW_SETTINGS["max_examples"] = 10
+
+
+class TestNumbertheory(unittest.TestCase):
+    def test_gcd(self):
+        assert gcd(3 * 5 * 7, 3 * 5 * 11, 3 * 5 * 13) == 3 * 5
+        assert gcd([3 * 5 * 7, 3 * 5 * 11, 3 * 5 * 13]) == 3 * 5
+        assert gcd(3) == 3
+
+    @unittest.skipUnless(HC_PRESENT,
+                         "Hypothesis 2.0.0 can't be made tolerant of hard to "
+                         "meet requirements (like `is_prime()`), the test "
+                         "case times-out on it")
+    @settings(**HYP_SLOW_SETTINGS)
+    @given(st_comp_with_com_fac())
+    def test_gcd_with_com_factor(self, numbers):
+        n = gcd(numbers)
+        assert 1 in numbers or n != 1
+        for i in numbers:
+            assert i % n == 0
+
+    @unittest.skipUnless(HC_PRESENT,
+                         "Hypothesis 2.0.0 can't be made tolerant of hard to "
+                         "meet requirements (like `is_prime()`), the test "
+                         "case times-out on it")
+    @settings(**HYP_SLOW_SETTINGS)
+    @given(st_comp_no_com_fac())
+    def test_gcd_with_uncom_factor(self, numbers):
+        n = gcd(numbers)
+        assert n == 1
+
+    @given(st.lists(st.integers(min_value=1, max_value=2**8192),
+                    min_size=1, max_size=20))
+    def test_gcd_with_random_numbers(self, numbers):
+        n = gcd(numbers)
+        for i in numbers:
+            # check that at least it's a divider
+            assert i % n == 0
+
+    def test_lcm(self):
+        assert lcm(3, 5 * 3, 7 * 3) == 3 * 5 * 7
+        assert lcm([3, 5 * 3, 7 * 3]) == 3 * 5 * 7
+        assert lcm(3) == 3
+
+    @given(st.lists(st.integers(min_value=1, max_value=2**8192),
+                    min_size=1, max_size=20))
+    def test_lcm_with_random_numbers(self, numbers):
+        n = lcm(numbers)
+        for i in numbers:
+            assert n % i == 0
+
+    @unittest.skipUnless(HC_PRESENT,
+                         "Hypothesis 2.0.0 can't be made tolerant of hard to "
+                         "meet requirements (like `is_prime()`), the test "
+                         "case times-out on it")
+    @settings(**HYP_SETTINGS)
+    @given(st_num_square_prime())
+    def test_square_root_mod_prime(self, vals):
+        square, prime = vals
+
+        calc = square_root_mod_prime(square, prime)
+        assert calc * calc % prime == square
+
+    @settings(**HYP_SETTINGS)
+    @given(st.integers(min_value=1, max_value=10**12))
+    @example(265399 * 1526929)
+    @example(373297 ** 2 * 553991)
+    def test_factorization(self, num):
+        factors = factorization(num)
+        mult = 1
+        for i in factors:
+            mult *= i[0] ** i[1]
+        assert mult == num
+
+    @settings(**HYP_SETTINGS)
+    @given(st.integers(min_value=3, max_value=1000).filter(lambda x: x % 2))
+    def test_jacobi(self, mod):
+        if is_prime(mod):
+            squares = set()
+            for root in range(1, mod):
+                assert jacobi(root * root, mod) == 1
+                squares.add(root * root % mod)
+            for i in range(1, mod):
+                if i not in squares:
+                    assert jacobi(i, mod) == -1
+        else:
+            factors = factorization(mod)
+            for a in range(1, mod):
+                c = 1
+                for i in factors:
+                    c *= jacobi(a, i[0]) ** i[1]
+                assert c == jacobi(a, mod)
+
+    @given(st_two_nums_rel_prime())
+    def test_inverse_mod(self, nums):
+        num, mod = nums
+
+        inv = inverse_mod(num, mod)
+
+        assert 0 < inv < mod
+        assert num * inv % mod == 1
+
+    def test_inverse_mod_with_zero(self):
+        assert 0 == inverse_mod(0, 11)
diff --git a/third_party/python/ecdsa/ecdsa/test_pyecdsa.py b/third_party/python/ecdsa/ecdsa/test_pyecdsa.py
new file mode 100644
index 0000000000..d83eb01d10
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_pyecdsa.py
@@ -0,0 +1,1445 @@
+from __future__ import with_statement, division
+
+try:
+    import unittest2 as unittest
+except ImportError:
+    import unittest
+import os
+import time
+import shutil
+import subprocess
+import pytest
+from binascii import hexlify, unhexlify
+from hashlib import sha1, sha256, sha384, sha512
+import hashlib
+from functools import partial
+
+from hypothesis import given
+import hypothesis.strategies as st
+
+from six import b, print_, binary_type
+from .keys import SigningKey, VerifyingKey
+from .keys import BadSignatureError, MalformedPointError, BadDigestError
+from . import util
+from .util import sigencode_der, sigencode_strings
+from .util import sigdecode_der, sigdecode_strings
+from .util import number_to_string, encoded_oid_ecPublicKey, \
+        MalformedSignature
+from .curves import Curve, UnknownCurveError
+from .curves import NIST192p, NIST224p, NIST256p, NIST384p, NIST521p, \
+        SECP256k1, BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1, \
+        BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1, BRAINPOOLP512r1, \
+        curves
+from .ecdsa import curve_brainpoolp224r1, curve_brainpoolp256r1, \
+        curve_brainpoolp384r1, curve_brainpoolp512r1
+from .ellipticcurve import Point
+from . import der
+from . import rfc6979
+from . import ecdsa
+
+
+class SubprocessError(Exception):
+    pass
+
+
+def run_openssl(cmd):
+    OPENSSL = "openssl"
+    p = subprocess.Popen([OPENSSL] + cmd.split(),
+                         stdout=subprocess.PIPE,
+                         stderr=subprocess.STDOUT)
+    stdout, ignored = p.communicate()
+    if p.returncode != 0:
+        raise SubprocessError("cmd '%s %s' failed: rc=%s, stdout/err was %s" %
+                              (OPENSSL, cmd, p.returncode, stdout))
+    return stdout.decode()
+
+
+class ECDSA(unittest.TestCase):
+    def test_basic(self):
+        priv = SigningKey.generate()
+        pub = priv.get_verifying_key()
+
+        data = b("blahblah")
+        sig = priv.sign(data)
+
+        self.assertTrue(pub.verify(sig, data))
+        self.assertRaises(BadSignatureError, pub.verify, sig, data + b("bad"))
+
+        pub2 = VerifyingKey.from_string(pub.to_string())
+        self.assertTrue(pub2.verify(sig, data))
+
+    def test_deterministic(self):
+        data = b("blahblah")
+        secexp = int("9d0219792467d7d37b4d43298a7d0c05", 16)
+
+        priv = SigningKey.from_secret_exponent(secexp, SECP256k1, sha256)
+        pub = priv.get_verifying_key()
+
+        k = rfc6979.generate_k(
+            SECP256k1.generator.order(), secexp, sha256, sha256(data).digest())
+
+        sig1 = priv.sign(data, k=k)
+        self.assertTrue(pub.verify(sig1, data))
+
+        sig2 = priv.sign(data, k=k)
+        self.assertTrue(pub.verify(sig2, data))
+
+        sig3 = priv.sign_deterministic(data, sha256)
+        self.assertTrue(pub.verify(sig3, data))
+
+        self.assertEqual(sig1, sig2)
+        self.assertEqual(sig1, sig3)
+
+    def test_bad_usage(self):
+        # sk=SigningKey() is wrong
+        self.assertRaises(TypeError, SigningKey)
+        self.assertRaises(TypeError, VerifyingKey)
+
+    def test_lengths(self):
+        default = NIST192p
+        priv = SigningKey.generate()
+        pub = priv.get_verifying_key()
+        self.assertEqual(len(pub.to_string()), default.verifying_key_length)
+        sig = priv.sign(b("data"))
+        self.assertEqual(len(sig), default.signature_length)
+        for curve in (NIST192p, NIST224p, NIST256p, NIST384p, NIST521p,
+                      BRAINPOOLP160r1, BRAINPOOLP192r1, BRAINPOOLP224r1,
+                      BRAINPOOLP256r1, BRAINPOOLP320r1, BRAINPOOLP384r1,
+                      BRAINPOOLP512r1):
+            start = time.time()
+            priv = SigningKey.generate(curve=curve)
+            pub1 = priv.get_verifying_key()
+            keygen_time = time.time() - start
+            pub2 = VerifyingKey.from_string(pub1.to_string(), curve)
+            self.assertEqual(pub1.to_string(), pub2.to_string())
+            self.assertEqual(len(pub1.to_string()),
+                             curve.verifying_key_length)
+            start = time.time()
+            sig = priv.sign(b("data"))
+            sign_time = time.time() - start
+            self.assertEqual(len(sig), curve.signature_length)
+
+    def test_serialize(self):
+        seed = b("secret")
+        curve = NIST192p
+        secexp1 = util.randrange_from_seed__trytryagain(seed, curve.order)
+        secexp2 = util.randrange_from_seed__trytryagain(seed, curve.order)
+        self.assertEqual(secexp1, secexp2)
+        priv1 = SigningKey.from_secret_exponent(secexp1, curve)
+        priv2 = SigningKey.from_secret_exponent(secexp2, curve)
+        self.assertEqual(hexlify(priv1.to_string()),
+                         hexlify(priv2.to_string()))
+        self.assertEqual(priv1.to_pem(), priv2.to_pem())
+        pub1 = priv1.get_verifying_key()
+        pub2 = priv2.get_verifying_key()
+        data = b("data")
+        sig1 = priv1.sign(data)
+        sig2 = priv2.sign(data)
+        self.assertTrue(pub1.verify(sig1, data))
+        self.assertTrue(pub2.verify(sig1, data))
+        self.assertTrue(pub1.verify(sig2, data))
+        self.assertTrue(pub2.verify(sig2, data))
+        self.assertEqual(hexlify(pub1.to_string()),
+                         hexlify(pub2.to_string()))
+
+    def test_nonrandom(self):
+        s = b("all the entropy in the entire world, compressed into one line")
+
+        def not_much_entropy(numbytes):
+            return s[:numbytes]
+
+        # we control the entropy source, these two keys should be identical:
+        priv1 = SigningKey.generate(entropy=not_much_entropy)
+        priv2 = SigningKey.generate(entropy=not_much_entropy)
+        self.assertEqual(hexlify(priv1.get_verifying_key().to_string()),
+                         hexlify(priv2.get_verifying_key().to_string()))
+        # likewise, signatures should be identical. Obviously you'd never
+        # want to do this with keys you care about, because the secrecy of
+        # the private key depends upon using different random numbers for
+        # each signature
+        sig1 = priv1.sign(b("data"), entropy=not_much_entropy)
+        sig2 = priv2.sign(b("data"), entropy=not_much_entropy)
+        self.assertEqual(hexlify(sig1), hexlify(sig2))
+
+    def assertTruePrivkeysEqual(self, priv1, priv2):
+        self.assertEqual(priv1.privkey.secret_multiplier,
+                         priv2.privkey.secret_multiplier)
+        self.assertEqual(priv1.privkey.public_key.generator,
+                         priv2.privkey.public_key.generator)
+
+    def test_privkey_creation(self):
+        s = b("all the entropy in the entire world, compressed into one line")
+
+        def not_much_entropy(numbytes):
+            return s[:numbytes]
+
+        priv1 = SigningKey.generate()
+        self.assertEqual(priv1.baselen, NIST192p.baselen)
+
+        priv1 = SigningKey.generate(curve=NIST224p)
+        self.assertEqual(priv1.baselen, NIST224p.baselen)
+
+        priv1 = SigningKey.generate(entropy=not_much_entropy)
+        self.assertEqual(priv1.baselen, NIST192p.baselen)
+        priv2 = SigningKey.generate(entropy=not_much_entropy)
+        self.assertEqual(priv2.baselen, NIST192p.baselen)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        priv1 = SigningKey.from_secret_exponent(secexp=3)
+        self.assertEqual(priv1.baselen, NIST192p.baselen)
+        priv2 = SigningKey.from_secret_exponent(secexp=3)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        priv1 = SigningKey.from_secret_exponent(secexp=4, curve=NIST224p)
+        self.assertEqual(priv1.baselen, NIST224p.baselen)
+
+    def test_privkey_strings(self):
+        priv1 = SigningKey.generate()
+        s1 = priv1.to_string()
+        self.assertEqual(type(s1), binary_type)
+        self.assertEqual(len(s1), NIST192p.baselen)
+        priv2 = SigningKey.from_string(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        s1 = priv1.to_pem()
+        self.assertEqual(type(s1), binary_type)
+        self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----")))
+        self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----")))
+        priv2 = SigningKey.from_pem(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        s1 = priv1.to_der()
+        self.assertEqual(type(s1), binary_type)
+        priv2 = SigningKey.from_der(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        priv1 = SigningKey.generate(curve=NIST256p)
+        s1 = priv1.to_pem()
+        self.assertEqual(type(s1), binary_type)
+        self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----")))
+        self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----")))
+        priv2 = SigningKey.from_pem(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        s1 = priv1.to_der()
+        self.assertEqual(type(s1), binary_type)
+        priv2 = SigningKey.from_der(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+    def test_privkey_strings_brainpool(self):
+        priv1 = SigningKey.generate(curve=BRAINPOOLP512r1)
+        s1 = priv1.to_pem()
+        self.assertEqual(type(s1), binary_type)
+        self.assertTrue(s1.startswith(b("-----BEGIN EC PRIVATE KEY-----")))
+        self.assertTrue(s1.strip().endswith(b("-----END EC PRIVATE KEY-----")))
+        priv2 = SigningKey.from_pem(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+        s1 = priv1.to_der()
+        self.assertEqual(type(s1), binary_type)
+        priv2 = SigningKey.from_der(s1)
+        self.assertTruePrivkeysEqual(priv1, priv2)
+
+    def assertTruePubkeysEqual(self, pub1, pub2):
+        self.assertEqual(pub1.pubkey.point, pub2.pubkey.point)
+        self.assertEqual(pub1.pubkey.generator, pub2.pubkey.generator)
+        self.assertEqual(pub1.curve, pub2.curve)
+
+    def test_pubkey_strings(self):
+        priv1 = SigningKey.generate()
+        pub1 = priv1.get_verifying_key()
+        s1 = pub1.to_string()
+        self.assertEqual(type(s1), binary_type)
+        self.assertEqual(len(s1), NIST192p.verifying_key_length)
+        pub2 = VerifyingKey.from_string(s1)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+        priv1 = SigningKey.generate(curve=NIST256p)
+        pub1 = priv1.get_verifying_key()
+        s1 = pub1.to_string()
+        self.assertEqual(type(s1), binary_type)
+        self.assertEqual(len(s1), NIST256p.verifying_key_length)
+        pub2 = VerifyingKey.from_string(s1, curve=NIST256p)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+        pub1_der = pub1.to_der()
+        self.assertEqual(type(pub1_der), binary_type)
+        pub2 = VerifyingKey.from_der(pub1_der)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+        self.assertRaises(der.UnexpectedDER,
+                          VerifyingKey.from_der, pub1_der + b("junk"))
+        badpub = VerifyingKey.from_der(pub1_der)
+
+        class FakeGenerator:
+            def order(self):
+                return 123456789
+
+        badcurve = Curve("unknown", None, FakeGenerator(), (1, 2, 3, 4, 5, 6), None)
+        badpub.curve = badcurve
+        badder = badpub.to_der()
+        self.assertRaises(UnknownCurveError, VerifyingKey.from_der, badder)
+
+        pem = pub1.to_pem()
+        self.assertEqual(type(pem), binary_type)
+        self.assertTrue(pem.startswith(b("-----BEGIN PUBLIC KEY-----")), pem)
+        self.assertTrue(pem.strip().endswith(b("-----END PUBLIC KEY-----")), pem)
+        pub2 = VerifyingKey.from_pem(pem)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+    def test_pubkey_strings_brainpool(self):
+        priv1 = SigningKey.generate(curve=BRAINPOOLP512r1)
+        pub1 = priv1.get_verifying_key()
+        s1 = pub1.to_string()
+        self.assertEqual(type(s1), binary_type)
+        self.assertEqual(len(s1), BRAINPOOLP512r1.verifying_key_length)
+        pub2 = VerifyingKey.from_string(s1, curve=BRAINPOOLP512r1)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+        pub1_der = pub1.to_der()
+        self.assertEqual(type(pub1_der), binary_type)
+        pub2 = VerifyingKey.from_der(pub1_der)
+        self.assertTruePubkeysEqual(pub1, pub2)
+
+    def test_vk_to_der_with_invalid_point_encoding(self):
+        sk = SigningKey.generate()
+        vk = sk.verifying_key
+
+        with self.assertRaises(ValueError):
+            vk.to_der("raw")
+
+    def test_sk_to_der_with_invalid_point_encoding(self):
+        sk = SigningKey.generate()
+
+        with self.assertRaises(ValueError):
+            sk.to_der("raw")
+
+    def test_vk_from_der_garbage_after_curve_oid(self):
+        type_oid_der = encoded_oid_ecPublicKey
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1)) + \
+            b('garbage')
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\x00\xff', None)
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            VerifyingKey.from_der(to_decode)
+
+    def test_vk_from_der_invalid_key_type(self):
+        type_oid_der = der.encode_oid(*(1, 2, 3))
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\x00\xff', None)
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            VerifyingKey.from_der(to_decode)
+
+    def test_vk_from_der_garbage_after_point_string(self):
+        type_oid_der = encoded_oid_ecPublicKey
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\x00\xff', None) + b('garbage')
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            VerifyingKey.from_der(to_decode)
+
+    def test_vk_from_der_invalid_bitstring(self):
+        type_oid_der = encoded_oid_ecPublicKey
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\x08\xff', None)
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            VerifyingKey.from_der(to_decode)
+
+    def test_vk_from_der_with_invalid_length_of_encoding(self):
+        type_oid_der = encoded_oid_ecPublicKey
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\xff'*64, 0)
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_der(to_decode)
+
+    def test_vk_from_der_with_raw_encoding(self):
+        type_oid_der = encoded_oid_ecPublicKey
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        enc_type_der = der.encode_sequence(type_oid_der, curve_oid_der)
+        point_der = der.encode_bitstring(b'\xff'*48, 0)
+        to_decode = der.encode_sequence(enc_type_der, point_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            VerifyingKey.from_der(to_decode)
+
+    def test_signature_strings(self):
+        priv1 = SigningKey.generate()
+        pub1 = priv1.get_verifying_key()
+        data = b("data")
+
+        sig = priv1.sign(data)
+        self.assertEqual(type(sig), binary_type)
+        self.assertEqual(len(sig), NIST192p.signature_length)
+        self.assertTrue(pub1.verify(sig, data))
+
+        sig = priv1.sign(data, sigencode=sigencode_strings)
+        self.assertEqual(type(sig), tuple)
+        self.assertEqual(len(sig), 2)
+        self.assertEqual(type(sig[0]), binary_type)
+        self.assertEqual(type(sig[1]), binary_type)
+        self.assertEqual(len(sig[0]), NIST192p.baselen)
+        self.assertEqual(len(sig[1]), NIST192p.baselen)
+        self.assertTrue(pub1.verify(sig, data, sigdecode=sigdecode_strings))
+
+        sig_der = priv1.sign(data, sigencode=sigencode_der)
+        self.assertEqual(type(sig_der), binary_type)
+        self.assertTrue(pub1.verify(sig_der, data, sigdecode=sigdecode_der))
+
+    def test_sig_decode_strings_with_invalid_count(self):
+        with self.assertRaises(MalformedSignature):
+            sigdecode_strings([b('one'), b('two'), b('three')], 0xff)
+
+    def test_sig_decode_strings_with_wrong_r_len(self):
+        with self.assertRaises(MalformedSignature):
+            sigdecode_strings([b('one'), b('two')], 0xff)
+
+    def test_sig_decode_strings_with_wrong_s_len(self):
+        with self.assertRaises(MalformedSignature):
+            sigdecode_strings([b('\xa0'), b('\xb0\xff')], 0xff)
+
+    def test_verify_with_too_long_input(self):
+        sk = SigningKey.generate()
+        vk = sk.verifying_key
+
+        with self.assertRaises(BadDigestError):
+            vk.verify_digest(None, b('\x00') * 128)
+
+    def test_sk_from_secret_exponent_with_wrong_sec_exponent(self):
+        with self.assertRaises(MalformedPointError):
+            SigningKey.from_secret_exponent(0)
+
+    def test_sk_from_string_with_wrong_len_string(self):
+        with self.assertRaises(MalformedPointError):
+            SigningKey.from_string(b('\x01'))
+
+    def test_sk_from_der_with_junk_after_sequence(self):
+        ver_der = der.encode_integer(1)
+        to_decode = der.encode_sequence(ver_der) + b('garbage')
+
+        with self.assertRaises(der.UnexpectedDER):
+            SigningKey.from_der(to_decode)
+
+    def test_sk_from_der_with_wrong_version(self):
+        ver_der = der.encode_integer(0)
+        to_decode = der.encode_sequence(ver_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            SigningKey.from_der(to_decode)
+
+    def test_sk_from_der_invalid_const_tag(self):
+        ver_der = der.encode_integer(1)
+        privkey_der = der.encode_octet_string(b('\x00\xff'))
+        curve_oid_der = der.encode_oid(*(1, 2, 3))
+        const_der = der.encode_constructed(1, curve_oid_der)
+        to_decode = der.encode_sequence(ver_der, privkey_der, const_der,
+                curve_oid_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            SigningKey.from_der(to_decode)
+
+    def test_sk_from_der_garbage_after_privkey_oid(self):
+        ver_der = der.encode_integer(1)
+        privkey_der = der.encode_octet_string(b('\x00\xff'))
+        curve_oid_der = der.encode_oid(*(1, 2, 3)) + b('garbage')
+        const_der = der.encode_constructed(0, curve_oid_der)
+        to_decode = der.encode_sequence(ver_der, privkey_der, const_der,
+                curve_oid_der)
+
+        with self.assertRaises(der.UnexpectedDER):
+            SigningKey.from_der(to_decode)
+
+    def test_sk_from_der_with_short_privkey(self):
+        ver_der = der.encode_integer(1)
+        privkey_der = der.encode_octet_string(b('\x00\xff'))
+        curve_oid_der = der.encode_oid(*(1, 2, 840, 10045, 3, 1, 1))
+        const_der = der.encode_constructed(0, curve_oid_der)
+        to_decode = der.encode_sequence(ver_der, privkey_der, const_der,
+                curve_oid_der)
+
+        sk = SigningKey.from_der(to_decode)
+        self.assertEqual(sk.privkey.secret_multiplier, 255)
+
+    def test_sign_with_too_long_hash(self):
+        sk = SigningKey.from_secret_exponent(12)
+
+        with self.assertRaises(BadDigestError):
+            sk.sign_digest(b('\xff') * 64)
+
+    def test_hashfunc(self):
+        sk = SigningKey.generate(curve=NIST256p, hashfunc=sha256)
+        data = b("security level is 128 bits")
+        sig = sk.sign(data)
+        vk = VerifyingKey.from_string(sk.get_verifying_key().to_string(),
+                                      curve=NIST256p, hashfunc=sha256)
+        self.assertTrue(vk.verify(sig, data))
+
+        sk2 = SigningKey.generate(curve=NIST256p)
+        sig2 = sk2.sign(data, hashfunc=sha256)
+        vk2 = VerifyingKey.from_string(sk2.get_verifying_key().to_string(),
+                                       curve=NIST256p, hashfunc=sha256)
+        self.assertTrue(vk2.verify(sig2, data))
+
+        vk3 = VerifyingKey.from_string(sk.get_verifying_key().to_string(),
+                                       curve=NIST256p)
+        self.assertTrue(vk3.verify(sig, data, hashfunc=sha256))
+
+    def test_public_key_recovery(self):
+        # Create keys
+        curve = NIST256p
+
+        sk = SigningKey.generate(curve=curve)
+        vk = sk.get_verifying_key()
+
+        # Sign a message
+        data = b("blahblah")
+        signature = sk.sign(data)
+
+        # Recover verifying keys
+        recovered_vks = VerifyingKey.from_public_key_recovery(signature, data, curve)
+
+        # Test if each pk is valid
+        for recovered_vk in recovered_vks:
+            # Test if recovered vk is valid for the data
+            self.assertTrue(recovered_vk.verify(signature, data))
+
+            # Test if properties are equal
+            self.assertEqual(vk.curve, recovered_vk.curve)
+            self.assertEqual(vk.default_hashfunc, recovered_vk.default_hashfunc)
+
+        # Test if original vk is the list of recovered keys
+        self.assertTrue(
+            vk.pubkey.point in [recovered_vk.pubkey.point for recovered_vk in recovered_vks])
+
+    def test_public_key_recovery_with_custom_hash(self):
+        # Create keys
+        curve = NIST256p
+
+        sk = SigningKey.generate(curve=curve, hashfunc=sha256)
+        vk = sk.get_verifying_key()
+
+        # Sign a message
+        data = b("blahblah")
+        signature = sk.sign(data)
+
+        # Recover verifying keys
+        recovered_vks = VerifyingKey.\
+                from_public_key_recovery(signature, data, curve,
+                                         hashfunc=sha256)
+
+        # Test if each pk is valid
+        for recovered_vk in recovered_vks:
+            # Test if recovered vk is valid for the data
+            self.assertTrue(recovered_vk.verify(signature, data))
+
+            # Test if properties are equal
+            self.assertEqual(vk.curve, recovered_vk.curve)
+            self.assertEqual(sha256, recovered_vk.default_hashfunc)
+
+        # Test if original vk is the list of recovered keys
+        self.assertTrue(vk.pubkey.point in
+                [recovered_vk.pubkey.point for recovered_vk in recovered_vks])
+
+    def test_encoding(self):
+        sk = SigningKey.from_secret_exponent(123456789)
+        vk = sk.verifying_key
+
+        exp = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+        self.assertEqual(vk.to_string(), exp)
+        self.assertEqual(vk.to_string('raw'), exp)
+        self.assertEqual(vk.to_string('uncompressed'), b('\x04') + exp)
+        self.assertEqual(vk.to_string('compressed'), b('\x02') + exp[:24])
+        self.assertEqual(vk.to_string('hybrid'), b('\x06') + exp)
+
+    def test_decoding(self):
+        sk = SigningKey.from_secret_exponent(123456789)
+        vk = sk.verifying_key
+
+        enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+
+        from_raw = VerifyingKey.from_string(enc)
+        self.assertEqual(from_raw.pubkey.point, vk.pubkey.point)
+
+        from_uncompressed = VerifyingKey.from_string(b('\x04') + enc)
+        self.assertEqual(from_uncompressed.pubkey.point, vk.pubkey.point)
+
+        from_compressed = VerifyingKey.from_string(b('\x02') + enc[:24])
+        self.assertEqual(from_compressed.pubkey.point, vk.pubkey.point)
+
+        from_uncompressed = VerifyingKey.from_string(b('\x06') + enc)
+        self.assertEqual(from_uncompressed.pubkey.point, vk.pubkey.point)
+
+    def test_decoding_with_malformed_uncompressed(self):
+        enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x02') + enc)
+
+    def test_decoding_with_malformed_compressed(self):
+        enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x01') + enc[:24])
+
+    def test_decoding_with_inconsistent_hybrid(self):
+        enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x07') + enc)
+
+    def test_decoding_with_point_not_on_curve(self):
+        enc = b('\x0c\xe0\x1d\xe0d\x1c\x8eS\x8a\xc0\x9eK\xa8x !\xd5\xc2\xc3'
+                '\xfd\xc8\xa0c\xff\xfb\x02\xb9\xc4\x84)\x1a\x0f\x8b\x87\xa4'
+                'z\x8a#\xb5\x97\xecO\xb6\xa0HQ\x89*')
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(enc[:47] + b('\x00'))
+
+    def test_decoding_with_point_at_infinity(self):
+        # decoding it is unsupported, as it's not necessary to encode it
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x00'))
+
+    def test_not_lying_on_curve(self):
+        enc = number_to_string(NIST192p.curve.p(), NIST192p.curve.p()+1)
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x02') + enc)
+
+    def test_from_string_with_invalid_curve_too_short_ver_key_len(self):
+        # both verifying_key_length and baselen are calculated internally
+        # by the Curve constructor, but since we depend on them verify
+        # that inconsistent values are detected
+        curve = Curve("test", ecdsa.curve_192, ecdsa.generator_192, (1, 2))
+        curve.verifying_key_length = 16
+        curve.baselen = 32
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x00')*16, curve)
+
+    def test_from_string_with_invalid_curve_too_long_ver_key_len(self):
+        # both verifying_key_length and baselen are calculated internally
+        # by the Curve constructor, but since we depend on them verify
+        # that inconsistent values are detected
+        curve = Curve("test", ecdsa.curve_192, ecdsa.generator_192, (1, 2))
+        curve.verifying_key_length = 16
+        curve.baselen = 16
+
+        with self.assertRaises(MalformedPointError):
+            VerifyingKey.from_string(b('\x00')*16, curve)
+
+
+@pytest.mark.parametrize("val,even",
+        [(i, j) for i in range(256) for j in [True, False]])
+def test_VerifyingKey_decode_with_small_values(val, even):
+    enc = number_to_string(val, NIST192p.order)
+
+    if even:
+        enc = b('\x02') + enc
+    else:
+        enc = b('\x03') + enc
+
+    # small values can both be actual valid public keys and not, verify that
+    # only expected exceptions are raised if they are not
+    try:
+        vk = VerifyingKey.from_string(enc)
+        assert isinstance(vk, VerifyingKey)
+    except MalformedPointError:
+        assert True
+
+
+params = []
+for curve in curves:
+    for enc in ["raw", "uncompressed", "compressed", "hybrid"]:
+        params.append(pytest.param(curve, enc, id="{0}-{1}".format(
+            curve.name, enc)))
+
+
+@pytest.mark.parametrize("curve,encoding", params)
+def test_VerifyingKey_encode_decode(curve, encoding):
+    sk = SigningKey.generate(curve=curve)
+    vk = sk.verifying_key
+
+    encoded = vk.to_string(encoding)
+
+    from_enc = VerifyingKey.from_string(encoded, curve=curve)
+
+    assert vk.pubkey.point == from_enc.pubkey.point
+
+
+class OpenSSL(unittest.TestCase):
+    # test interoperability with OpenSSL tools. Note that openssl's ECDSA
+    # sign/verify arguments changed between 0.9.8 and 1.0.0: the early
+    # versions require "-ecdsa-with-SHA1", the later versions want just
+    # "-SHA1" (or to leave out that argument entirely, which means the
+    # signature will use some default digest algorithm, probably determined
+    # by the key, probably always SHA1).
+    #
+    # openssl ecparam -name secp224r1 -genkey -out privkey.pem
+    # openssl ec -in privkey.pem -text -noout # get the priv/pub keys
+    # openssl dgst -ecdsa-with-SHA1 -sign privkey.pem -out data.sig data.txt
+    # openssl asn1parse -in data.sig -inform DER
+    #  data.sig is 64 bytes, probably 56b plus ASN1 overhead
+    # openssl dgst -ecdsa-with-SHA1 -prverify privkey.pem -signature data.sig data.txt ; echo $?
+    # openssl ec -in privkey.pem -pubout -out pubkey.pem
+    # openssl ec -in privkey.pem -pubout -outform DER -out pubkey.der
+
+    OPENSSL_SUPPORTED_CURVES = set(c.split(':')[0].strip() for c in
+                                   run_openssl("ecparam -list_curves")
+                                   .split('\n'))
+
+    def get_openssl_messagedigest_arg(self, hash_name):
+        v = run_openssl("version")
+        # e.g. "OpenSSL 1.0.0 29 Mar 2010", or "OpenSSL 1.0.0a 1 Jun 2010",
+        # or "OpenSSL 0.9.8o 01 Jun 2010"
+        vs = v.split()[1].split(".")
+        if vs >= ["1", "0", "0"]:  # pragma: no cover
+            return "-{0}".format(hash_name)
+        else:  # pragma: no cover
+            return "-ecdsa-with-{0}".format(hash_name)
+
+    # sk: 1:OpenSSL->python  2:python->OpenSSL
+    # vk: 3:OpenSSL->python  4:python->OpenSSL
+    # sig: 5:OpenSSL->python 6:python->OpenSSL
+
+    @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime192v1")
+    def test_from_openssl_nist192p(self):
+        return self.do_test_from_openssl(NIST192p)
+
+    @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime192v1")
+    def test_from_openssl_nist192p_sha256(self):
+        return self.do_test_from_openssl(NIST192p, "SHA256")
+
+    @pytest.mark.skipif("secp224r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp224r1")
+    def test_from_openssl_nist224p(self):
+        return self.do_test_from_openssl(NIST224p)
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_from_openssl_nist256p(self):
+        return self.do_test_from_openssl(NIST256p)
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_from_openssl_nist256p_sha384(self):
+        return self.do_test_from_openssl(NIST256p, "SHA384")
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_from_openssl_nist256p_sha512(self):
+        return self.do_test_from_openssl(NIST256p, "SHA512")
+
+    @pytest.mark.skipif("secp384r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp384r1")
+    def test_from_openssl_nist384p(self):
+        return self.do_test_from_openssl(NIST384p)
+
+    @pytest.mark.skipif("secp521r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp521r1")
+    def test_from_openssl_nist521p(self):
+        return self.do_test_from_openssl(NIST521p)
+
+    @pytest.mark.skipif("secp256k1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp256k1")
+    def test_from_openssl_secp256k1(self):
+        return self.do_test_from_openssl(SECP256k1)
+
+    @pytest.mark.skipif("brainpoolP160r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP160r1")
+    def test_from_openssl_brainpoolp160r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP160r1)
+
+    @pytest.mark.skipif("brainpoolP192r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP192r1")
+    def test_from_openssl_brainpoolp192r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP192r1)
+
+    @pytest.mark.skipif("brainpoolP224r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP224r1")
+    def test_from_openssl_brainpoolp224r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP224r1)
+
+    @pytest.mark.skipif("brainpoolP256r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP256r1")
+    def test_from_openssl_brainpoolp256r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP256r1)
+
+    @pytest.mark.skipif("brainpoolP320r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP320r1")
+    def test_from_openssl_brainpoolp320r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP320r1)
+
+    @pytest.mark.skipif("brainpoolP384r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP384r1")
+    def test_from_openssl_brainpoolp384r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP384r1)
+
+    @pytest.mark.skipif("brainpoolP512r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP512r1")
+    def test_from_openssl_brainpoolp512r1(self):
+        return self.do_test_from_openssl(BRAINPOOLP512r1)
+
+    def do_test_from_openssl(self, curve, hash_name="SHA1"):
+        curvename = curve.openssl_name
+        assert curvename
+        # OpenSSL: create sk, vk, sign.
+        # Python: read vk(3), checksig(5), read sk(1), sign, check
+        mdarg = self.get_openssl_messagedigest_arg(hash_name)
+        if os.path.isdir("t"):  # pragma: no cover
+            shutil.rmtree("t")
+        os.mkdir("t")
+        run_openssl("ecparam -name %s -genkey -out t/privkey.pem" % curvename)
+        run_openssl("ec -in t/privkey.pem -pubout -out t/pubkey.pem")
+        data = b("data")
+        with open("t/data.txt", "wb") as e:
+          e.write(data)
+        run_openssl("dgst %s -sign t/privkey.pem -out t/data.sig t/data.txt" % mdarg)
+        run_openssl("dgst %s -verify t/pubkey.pem -signature t/data.sig t/data.txt" % mdarg)
+        with open("t/pubkey.pem", "rb") as e:
+          pubkey_pem = e.read()
+        vk = VerifyingKey.from_pem(pubkey_pem)  # 3
+        with open("t/data.sig", "rb") as e:
+          sig_der = e.read()
+        self.assertTrue(vk.verify(sig_der, data,  # 5
+                                  hashfunc=partial(hashlib.new, hash_name),
+                                  sigdecode=sigdecode_der))
+
+        with open("t/privkey.pem") as e:
+          fp = e.read()
+        sk = SigningKey.from_pem(fp)  # 1
+        sig = sk.sign(
+                data,
+                hashfunc=partial(hashlib.new, hash_name),
+                )
+        self.assertTrue(vk.verify(sig,
+                                  data,
+                                  hashfunc=partial(hashlib.new, hash_name)))
+
+    @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime192v1")
+    def test_to_openssl_nist192p(self):
+        self.do_test_to_openssl(NIST192p)
+
+    @pytest.mark.skipif("prime192v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime192v1")
+    def test_to_openssl_nist192p_sha256(self):
+        self.do_test_to_openssl(NIST192p, "SHA256")
+
+    @pytest.mark.skipif("secp224r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp224r1")
+    def test_to_openssl_nist224p(self):
+        self.do_test_to_openssl(NIST224p)
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_to_openssl_nist256p(self):
+        self.do_test_to_openssl(NIST256p)
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_to_openssl_nist256p_sha384(self):
+        self.do_test_to_openssl(NIST256p, "SHA384")
+
+    @pytest.mark.skipif("prime256v1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support prime256v1")
+    def test_to_openssl_nist256p_sha512(self):
+        self.do_test_to_openssl(NIST256p, "SHA512")
+
+    @pytest.mark.skipif("secp384r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp384r1")
+    def test_to_openssl_nist384p(self):
+        self.do_test_to_openssl(NIST384p)
+
+    @pytest.mark.skipif("secp521r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp521r1")
+    def test_to_openssl_nist521p(self):
+        self.do_test_to_openssl(NIST521p)
+
+    @pytest.mark.skipif("secp256k1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support secp256k1")
+    def test_to_openssl_secp256k1(self):
+        self.do_test_to_openssl(SECP256k1)
+
+    @pytest.mark.skipif("brainpoolP160r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP160r1")
+    def test_to_openssl_brainpoolp160r1(self):
+        self.do_test_to_openssl(BRAINPOOLP160r1)
+
+    @pytest.mark.skipif("brainpoolP192r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP192r1")
+    def test_to_openssl_brainpoolp192r1(self):
+        self.do_test_to_openssl(BRAINPOOLP192r1)
+
+    @pytest.mark.skipif("brainpoolP224r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP224r1")
+    def test_to_openssl_brainpoolp224r1(self):
+        self.do_test_to_openssl(BRAINPOOLP224r1)
+
+    @pytest.mark.skipif("brainpoolP256r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP256r1")
+    def test_to_openssl_brainpoolp256r1(self):
+        self.do_test_to_openssl(BRAINPOOLP256r1)
+
+    @pytest.mark.skipif("brainpoolP320r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP320r1")
+    def test_to_openssl_brainpoolp320r1(self):
+        self.do_test_to_openssl(BRAINPOOLP320r1)
+
+    @pytest.mark.skipif("brainpoolP384r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP384r1")
+    def test_to_openssl_brainpoolp384r1(self):
+        self.do_test_to_openssl(BRAINPOOLP384r1)
+
+    @pytest.mark.skipif("brainpoolP512r1" not in OPENSSL_SUPPORTED_CURVES,
+                        reason="system openssl does not support brainpoolP512r1")
+    def test_to_openssl_brainpoolp512r1(self):
+        self.do_test_to_openssl(BRAINPOOLP512r1)
+
+    def do_test_to_openssl(self, curve, hash_name="SHA1"):
+        curvename = curve.openssl_name
+        assert curvename
+        # Python: create sk, vk, sign.
+        # OpenSSL: read vk(4), checksig(6), read sk(2), sign, check
+        mdarg = self.get_openssl_messagedigest_arg(hash_name)
+        if os.path.isdir("t"):  # pragma: no cover
+            shutil.rmtree("t")
+        os.mkdir("t")
+        sk = SigningKey.generate(curve=curve)
+        vk = sk.get_verifying_key()
+        data = b("data")
+        with open("t/pubkey.der", "wb") as e:
+          e.write(vk.to_der())  # 4
+        with open("t/pubkey.pem", "wb") as e:
+          e.write(vk.to_pem())  # 4
+        sig_der = sk.sign(data, hashfunc=partial(hashlib.new, hash_name),
+                          sigencode=sigencode_der)
+
+        with open("t/data.sig", "wb") as e:
+          e.write(sig_der)  # 6
+        with open("t/data.txt", "wb") as e:
+          e.write(data)
+        with open("t/baddata.txt", "wb") as e:
+          e.write(data + b("corrupt"))
+
+        self.assertRaises(SubprocessError, run_openssl,
+                          "dgst %s -verify t/pubkey.der -keyform DER -signature t/data.sig t/baddata.txt" % mdarg)
+        run_openssl("dgst %s -verify t/pubkey.der -keyform DER -signature t/data.sig t/data.txt" % mdarg)
+
+        with open("t/privkey.pem", "wb") as e:
+          e.write(sk.to_pem())  # 2
+        run_openssl("dgst %s -sign t/privkey.pem -out t/data.sig2 t/data.txt" % mdarg)
+        run_openssl("dgst %s -verify t/pubkey.pem -signature t/data.sig2 t/data.txt" % mdarg)
+
+
+class DER(unittest.TestCase):
+    def test_integer(self):
+        self.assertEqual(der.encode_integer(0), b("\x02\x01\x00"))
+        self.assertEqual(der.encode_integer(1), b("\x02\x01\x01"))
+        self.assertEqual(der.encode_integer(127), b("\x02\x01\x7f"))
+        self.assertEqual(der.encode_integer(128), b("\x02\x02\x00\x80"))
+        self.assertEqual(der.encode_integer(256), b("\x02\x02\x01\x00"))
+        # self.assertEqual(der.encode_integer(-1), b("\x02\x01\xff"))
+
+        def s(n):
+          return der.remove_integer(der.encode_integer(n) + b("junk"))
+        self.assertEqual(s(0), (0, b("junk")))
+        self.assertEqual(s(1), (1, b("junk")))
+        self.assertEqual(s(127), (127, b("junk")))
+        self.assertEqual(s(128), (128, b("junk")))
+        self.assertEqual(s(256), (256, b("junk")))
+        self.assertEqual(s(1234567890123456789012345678901234567890),
+                         (1234567890123456789012345678901234567890, b("junk")))
+
+    def test_number(self):
+        self.assertEqual(der.encode_number(0), b("\x00"))
+        self.assertEqual(der.encode_number(127), b("\x7f"))
+        self.assertEqual(der.encode_number(128), b("\x81\x00"))
+        self.assertEqual(der.encode_number(3 * 128 + 7), b("\x83\x07"))
+        # self.assertEqual(der.read_number("\x81\x9b" + "more"), (155, 2))
+        # self.assertEqual(der.encode_number(155), b("\x81\x9b"))
+        for n in (0, 1, 2, 127, 128, 3 * 128 + 7, 840, 10045):  # , 155):
+            x = der.encode_number(n) + b("more")
+            n1, llen = der.read_number(x)
+            self.assertEqual(n1, n)
+            self.assertEqual(x[llen:], b("more"))
+
+    def test_length(self):
+        self.assertEqual(der.encode_length(0), b("\x00"))
+        self.assertEqual(der.encode_length(127), b("\x7f"))
+        self.assertEqual(der.encode_length(128), b("\x81\x80"))
+        self.assertEqual(der.encode_length(255), b("\x81\xff"))
+        self.assertEqual(der.encode_length(256), b("\x82\x01\x00"))
+        self.assertEqual(der.encode_length(3 * 256 + 7), b("\x82\x03\x07"))
+        self.assertEqual(der.read_length(b("\x81\x9b") + b("more")), (155, 2))
+        self.assertEqual(der.encode_length(155), b("\x81\x9b"))
+        for n in (0, 1, 2, 127, 128, 255, 256, 3 * 256 + 7, 155):
+            x = der.encode_length(n) + b("more")
+            n1, llen = der.read_length(x)
+            self.assertEqual(n1, n)
+            self.assertEqual(x[llen:], b("more"))
+
+    def test_sequence(self):
+        x = der.encode_sequence(b("ABC"), b("DEF")) + b("GHI")
+        self.assertEqual(x, b("\x30\x06ABCDEFGHI"))
+        x1, rest = der.remove_sequence(x)
+        self.assertEqual(x1, b("ABCDEF"))
+        self.assertEqual(rest, b("GHI"))
+
+    def test_constructed(self):
+        x = der.encode_constructed(0, NIST224p.encoded_oid)
+        self.assertEqual(hexlify(x), b("a007") + b("06052b81040021"))
+        x = der.encode_constructed(1, unhexlify(b("0102030a0b0c")))
+        self.assertEqual(hexlify(x), b("a106") + b("0102030a0b0c"))
+
+
+class Util(unittest.TestCase):
+    def test_trytryagain(self):
+        tta = util.randrange_from_seed__trytryagain
+        for i in range(1000):
+            seed = "seed-%d" % i
+            for order in (2**8 - 2, 2**8 - 1, 2**8, 2**8 + 1, 2**8 + 2,
+                          2**16 - 1, 2**16 + 1):
+                n = tta(seed, order)
+                self.assertTrue(1 <= n < order, (1, n, order))
+        # this trytryagain *does* provide long-term stability
+        self.assertEqual(("%x" % (tta("seed", NIST224p.order))).encode(),
+                         b("6fa59d73bf0446ae8743cf748fc5ac11d5585a90356417e97155c3bc"))
+
+    @given(st.integers(min_value=0, max_value=10**200))
+    def test_randrange(self, i):
+        # util.randrange does not provide long-term stability: we might
+        # change the algorithm in the future.
+        entropy = util.PRNG("seed-%d" % i)
+        for order in (2**8 - 2, 2**8 - 1, 2**8,
+                      2**16 - 1, 2**16 + 1,
+                      ):
+            # that oddball 2**16+1 takes half our runtime
+            n = util.randrange(order, entropy=entropy)
+            self.assertTrue(1 <= n < order, (1, n, order))
+
+    def OFF_test_prove_uniformity(self):  # pragma: no cover
+        order = 2**8 - 2
+        counts = dict([(i, 0) for i in range(1, order)])
+        assert 0 not in counts
+        assert order not in counts
+        for i in range(1000000):
+            seed = "seed-%d" % i
+            n = util.randrange_from_seed__trytryagain(seed, order)
+            counts[n] += 1
+        # this technique should use the full range
+        self.assertTrue(counts[order - 1])
+        for i in range(1, order):
+            print_("%3d: %s" % (i, "*" * (counts[i] // 100)))
+
+
+class RFC6979(unittest.TestCase):
+    # https://tools.ietf.org/html/rfc6979#appendix-A.1
+    def _do(self, generator, secexp, hsh, hash_func, expected):
+        actual = rfc6979.generate_k(generator.order(), secexp, hash_func, hsh)
+        self.assertEqual(expected, actual)
+
+    def test_SECP256k1(self):
+        '''RFC doesn't contain test vectors for SECP256k1 used in bitcoin.
+        This vector has been computed by Golang reference implementation instead.'''
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=int("9d0219792467d7d37b4d43298a7d0c05", 16),
+            hsh=sha256(b("sample")).digest(),
+            hash_func=sha256,
+            expected=int("8fa1f95d514760e498f28957b824ee6ec39ed64826ff4fecc2b5739ec45b91cd", 16))
+
+    def test_SECP256k1_2(self):
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=int("cca9fbcc1b41e5a95d369eaa6ddcff73b61a4efaa279cfc6567e8daa39cbaf50", 16),
+            hsh=sha256(b("sample")).digest(),
+            hash_func=sha256,
+            expected=int("2df40ca70e639d89528a6b670d9d48d9165fdc0febc0974056bdce192b8e16a3", 16))
+
+    def test_SECP256k1_3(self):
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=0x1,
+            hsh=sha256(b("Satoshi Nakamoto")).digest(),
+            hash_func=sha256,
+            expected=0x8F8A276C19F4149656B280621E358CCE24F5F52542772691EE69063B74F15D15)
+
+    def test_SECP256k1_4(self):
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=0x1,
+            hsh=sha256(b("All those moments will be lost in time, like tears in rain. Time to die...")).digest(),
+            hash_func=sha256,
+            expected=0x38AA22D72376B4DBC472E06C3BA403EE0A394DA63FC58D88686C611ABA98D6B3)
+
+    def test_SECP256k1_5(self):
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEBAAEDCE6AF48A03BBFD25E8CD0364140,
+            hsh=sha256(b("Satoshi Nakamoto")).digest(),
+            hash_func=sha256,
+            expected=0x33A19B60E25FB6F4435AF53A3D42D493644827367E6453928554F43E49AA6F90)
+
+    def test_SECP256k1_6(self):
+        self._do(
+            generator=SECP256k1.generator,
+            secexp=0xf8b8af8ce3c7cca5e300d33939540c10d45ce001b8f252bfbc57ba0342904181,
+            hsh=sha256(b("Alan Turing")).digest(),
+            hash_func=sha256,
+            expected=0x525A82B70E67874398067543FD84C83D30C175FDC45FDEEE082FE13B1D7CFDF1)
+
+    def test_1(self):
+        # Basic example of the RFC, it also tests 'try-try-again' from Step H of rfc6979
+        self._do(
+            generator=Point(None, 0, 0, int("4000000000000000000020108A2E0CC0D99F8A5EF", 16)),
+            secexp=int("09A4D6792295A7F730FC3F2B49CBC0F62E862272F", 16),
+            hsh=unhexlify(b("AF2BDBE1AA9B6EC1E2ADE1D694F41FC71A831D0268E9891562113D8A62ADD1BF")),
+            hash_func=sha256,
+            expected=int("23AF4074C90A02B3FE61D286D5C87F425E6BDD81B", 16))
+
+    def test_2(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha1(b("sample")).digest(),
+            hash_func=sha1,
+            expected=int("37D7CA00D2C7B0E5E412AC03BD44BA837FDD5B28CD3B0021", 16))
+
+    def test_3(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha256(b("sample")).digest(),
+            hash_func=sha256,
+            expected=int("32B1B6D7D42A05CB449065727A84804FB1A3E34D8F261496", 16))
+
+    def test_4(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha512(b("sample")).digest(),
+            hash_func=sha512,
+            expected=int("A2AC7AB055E4F20692D49209544C203A7D1F2C0BFBC75DB1", 16))
+
+    def test_5(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha1(b("test")).digest(),
+            hash_func=sha1,
+            expected=int("D9CF9C3D3297D3260773A1DA7418DB5537AB8DD93DE7FA25", 16))
+
+    def test_6(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha256(b("test")).digest(),
+            hash_func=sha256,
+            expected=int("5C4CE89CF56D9E7C77C8585339B006B97B5F0680B4306C6C", 16))
+
+    def test_7(self):
+        self._do(
+            generator=NIST192p.generator,
+            secexp=int("6FAB034934E4C0FC9AE67F5B5659A9D7D1FEFD187EE09FD4", 16),
+            hsh=sha512(b("test")).digest(),
+            hash_func=sha512,
+            expected=int("0758753A5254759C7CFBAD2E2D9B0792EEE44136C9480527", 16))
+
+    def test_8(self):
+        self._do(
+            generator=NIST521p.generator,
+            secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16),
+            hsh=sha1(b("sample")).digest(),
+            hash_func=sha1,
+            expected=int("089C071B419E1C2820962321787258469511958E80582E95D8378E0C2CCDB3CB42BEDE42F50E3FA3C71F5A76724281D31D9C89F0F91FC1BE4918DB1C03A5838D0F9", 16))
+
+    def test_9(self):
+        self._do(
+            generator=NIST521p.generator,
+            secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16),
+            hsh=sha256(b("sample")).digest(),
+            hash_func=sha256,
+            expected=int("0EDF38AFCAAECAB4383358B34D67C9F2216C8382AAEA44A3DAD5FDC9C32575761793FEF24EB0FC276DFC4F6E3EC476752F043CF01415387470BCBD8678ED2C7E1A0", 16))
+
+    def test_10(self):
+        self._do(
+            generator=NIST521p.generator,
+            secexp=int("0FAD06DAA62BA3B25D2FB40133DA757205DE67F5BB0018FEE8C86E1B68C7E75CAA896EB32F1F47C70855836A6D16FCC1466F6D8FBEC67DB89EC0C08B0E996B83538", 16),
+            hsh=sha512(b("test")).digest(),
+            hash_func=sha512,
+            expected=int("16200813020EC986863BEDFC1B121F605C1215645018AEA1A7B215A564DE9EB1B38A67AA1128B80CE391C4FB71187654AAA3431027BFC7F395766CA988C964DC56D", 16))
+
+
+class ECDH(unittest.TestCase):
+    def _do(self, curve, generator, dA, x_qA, y_qA, dB, x_qB, y_qB, x_Z, y_Z):
+        qA = dA * generator
+        qB = dB * generator
+        Z = dA * qB
+        self.assertEqual(Point(curve, x_qA, y_qA), qA)
+        self.assertEqual(Point(curve, x_qB, y_qB), qB)
+        self.assertTrue((dA * qB) ==
+                        (dA * dB * generator) ==
+                        (dB * dA * generator) ==
+                        (dB * qA))
+        self.assertEqual(Point(curve, x_Z, y_Z), Z)
+
+
+class RFC6932(ECDH):
+    # https://tools.ietf.org/html/rfc6932#appendix-A.1
+
+    def test_brainpoolP224r1(self):
+        self._do(
+            curve=curve_brainpoolp224r1,
+            generator=BRAINPOOLP224r1.generator,
+            dA=int("7C4B7A2C8A4BAD1FBB7D79CC0955DB7C6A4660CA64CC4778159B495E",
+                   16),
+            x_qA=int("B104A67A6F6E85E14EC1825E1539E8ECDBBF584922367DD88C6BDCF2",
+                     16),
+            y_qA=int("46D782E7FDB5F60CD8404301AC5949C58EDB26BC68BA07695B750A94",
+                     16),
+            dB=int("63976D4AAE6CD0F6DD18DEFEF55D96569D0507C03E74D6486FFA28FB",
+                   16),
+            x_qB=int("2A97089A9296147B71B21A4B574E1278245B536F14D8C2B9D07A874E",
+                     16),
+            y_qB=int("9B900D7C77A709A797276B8CA1BA61BB95B546FC29F862E44D59D25B",
+                     16),
+            x_Z=int("312DFD98783F9FB77B9704945A73BEB6DCCBE3B65D0F967DCAB574EB",
+                    16),
+            y_Z=int("6F800811D64114B1C48C621AB3357CF93F496E4238696A2A012B3C98",
+                    16))
+
+    def test_brainpoolP256r1(self):
+        self._do(
+            curve=curve_brainpoolp256r1,
+            generator=BRAINPOOLP256r1.generator,
+            dA=int("041EB8B1E2BC681BCE8E39963B2E9FC415B05283313DD1A8BCC055F11AE"
+                   "49699", 16),
+            x_qA=int("78028496B5ECAAB3C8B6C12E45DB1E02C9E4D26B4113BC4F015F60C5C"
+                     "CC0D206", 16),
+            y_qA=int("A2AE1762A3831C1D20F03F8D1E3C0C39AFE6F09B4D44BBE80CD100987"
+                     "B05F92B", 16),
+            dB=int("06F5240EACDB9837BC96D48274C8AA834B6C87BA9CC3EEDD81F99A16B8D"
+                   "804D3", 16),
+            x_qB=int("8E07E219BA588916C5B06AA30A2F464C2F2ACFC1610A3BE2FB240B635"
+                     "341F0DB", 16),
+            y_qB=int("148EA1D7D1E7E54B9555B6C9AC90629C18B63BEE5D7AA6949EBBF47B2"
+                     "4FDE40D", 16),
+            x_Z=int("05E940915549E9F6A4A75693716E37466ABA79B4BF2919877A16DD2CC2"
+                    "E23708", 16),
+            y_Z=int("6BC23B6702BC5A019438CEEA107DAAD8B94232FFBBC350F3B137628FE6"
+                    "FD134C", 16))
+
+    def test_brainpoolP384r1(self):
+        self._do(
+            curve=curve_brainpoolp384r1,
+            generator=BRAINPOOLP384r1.generator,
+            dA=int("014EC0755B78594BA47FB0A56F6173045B4331E74BA1A6F47322E70D79D"
+                   "828D97E095884CA72B73FDABD5910DF0FA76A", 16),
+            x_qA=int("45CB26E4384DAF6FB776885307B9A38B7AD1B5C692E0C32F012533277"
+                     "8F3B8D3F50CA358099B30DEB5EE69A95C058B4E", 16),
+            y_qA=int("8173A1C54AFFA7E781D0E1E1D12C0DC2B74F4DF58E4A4E3AF7026C5D3"
+                     "2DC530A2CD89C859BB4B4B768497F49AB8CC859", 16),
+            dB=int("6B461CB79BD0EA519A87D6828815D8CE7CD9B3CAA0B5A8262CBCD550A01"
+                   "5C90095B976F3529957506E1224A861711D54", 16),
+            x_qB=int("01BF92A92EE4BE8DED1A911125C209B03F99E3161CFCC986DC7711383"
+                     "FC30AF9CE28CA3386D59E2C8D72CE1E7B4666E8", 16),
+            y_qB=int("3289C4A3A4FEE035E39BDB885D509D224A142FF9FBCC5CFE5CCBB3026"
+                     "8EE47487ED8044858D31D848F7A95C635A347AC", 16),
+            x_Z=int("04CC4FF3DCCCB07AF24E0ACC529955B36D7C807772B92FCBE48F3AFE9A"
+                    "2F370A1F98D3FA73FD0C0747C632E12F1423EC", 16),
+            y_Z=int("7F465F90BD69AFB8F828A214EB9716D66ABC59F17AF7C75EE7F1DE22AB"
+                    "5D05085F5A01A9382D05BF72D96698FE3FF64E", 16))
+
+    def test_brainpoolP512r1(self):
+        self._do(
+            curve=curve_brainpoolp512r1,
+            generator=BRAINPOOLP512r1.generator,
+            dA=int("636B6BE0482A6C1C41AA7AE7B245E983392DB94CECEA2660A379CFE1595"
+                   "59E357581825391175FC195D28BAC0CF03A7841A383B95C262B98378287"
+                   "4CCE6FE333", 16),
+            x_qA=int("0562E68B9AF7CBFD5565C6B16883B777FF11C199161ECC427A39D17EC"
+                     "2166499389571D6A994977C56AD8252658BA8A1B72AE42F4FB7532151"
+                     "AFC3EF0971CCDA", 16),
+            y_qA=int("A7CA2D8191E21776A89860AFBC1F582FAA308D551C1DC6133AF9F9C3C"
+                     "AD59998D70079548140B90B1F311AFB378AA81F51B275B2BE6B7DEE97"
+                     "8EFC7343EA642E", 16),
+            dB=int("0AF4E7F6D52EDD52907BB8DBAB3992A0BB696EC10DF11892FF205B66D38"
+                   "1ECE72314E6A6EA079CEA06961DBA5AE6422EF2E9EE803A1F236FB96A17"
+                   "99B86E5C8B", 16),
+            x_qB=int("5A7954E32663DFF11AE24712D87419F26B708AC2B92877D6BFEE2BFC4"
+                     "3714D89BBDB6D24D807BBD3AEB7F0C325F862E8BADE4F74636B97EAAC"
+                     "E739E11720D323", 16),
+            y_qB=int("96D14621A9283A1BED84DE8DD64836B2C0758B11441179DC0C54C0D49"
+                     "A47C03807D171DD544B72CAAEF7B7CE01C7753E2CAD1A861ECA55A719"
+                     "54EE1BA35E04BE", 16),
+            x_Z=int("1EE8321A4BBF93B9CF8921AB209850EC9B7066D1984EF08C2BB7232362"
+                    "08AC8F1A483E79461A00E0D5F6921CE9D360502F85C812BEDEE23AC5B2"
+                    "10E5811B191E", 16),
+            y_Z=int("2632095B7B936174B41FD2FAF369B1D18DCADEED7E410A7E251F083109"
+                    "7C50D02CFED02607B6A2D5ADB4C0006008562208631875B58B54ECDA5A"
+                    "4F9FE9EAABA6", 16))
+
+
+class RFC7027(ECDH):
+    # https://tools.ietf.org/html/rfc7027#appendix-A
+
+    def test_brainpoolP256r1(self):
+        self._do(
+            curve=curve_brainpoolp256r1,
+            generator=BRAINPOOLP256r1.generator,
+            dA=int("81DB1EE100150FF2EA338D708271BE38300CB54241D79950F77B0630398"
+                   "04F1D", 16),
+            x_qA=int("44106E913F92BC02A1705D9953A8414DB95E1AAA49E81D9E85F929A8E"
+                     "3100BE5", 16),
+            y_qA=int("8AB4846F11CACCB73CE49CBDD120F5A900A69FD32C272223F789EF10E"
+                     "B089BDC", 16),
+            dB=int("55E40BC41E37E3E2AD25C3C6654511FFA8474A91A0032087593852D3E7D"
+                   "76BD3", 16),
+            x_qB=int("8D2D688C6CF93E1160AD04CC4429117DC2C41825E1E9FCA0ADDD34E6F"
+                     "1B39F7B", 16),
+            y_qB=int("990C57520812BE512641E47034832106BC7D3E8DD0E4C7F1136D70065"
+                     "47CEC6A", 16),
+            x_Z=int("89AFC39D41D3B327814B80940B042590F96556EC91E6AE7939BCE31F3A"
+                    "18BF2B", 16),
+            y_Z=int("49C27868F4ECA2179BFD7D59B1E3BF34C1DBDE61AE12931648F43E5963"
+                    "2504DE", 16))
+
+    def test_brainpoolP384r1(self):
+        self._do(
+            curve=curve_brainpoolp384r1,
+            generator=BRAINPOOLP384r1.generator,
+            dA=int("1E20F5E048A5886F1F157C74E91BDE2B98C8B52D58E5003D57053FC4B0B"
+                   "D65D6F15EB5D1EE1610DF870795143627D042", 16),
+            x_qA=int("68B665DD91C195800650CDD363C625F4E742E8134667B767B1B476793"
+                     "588F885AB698C852D4A6E77A252D6380FCAF068", 16),
+            y_qA=int("55BC91A39C9EC01DEE36017B7D673A931236D2F1F5C83942D049E3FA2"
+                     "0607493E0D038FF2FD30C2AB67D15C85F7FAA59", 16),
+            dB=int("032640BC6003C59260F7250C3DB58CE647F98E1260ACCE4ACDA3DD869F7"
+                   "4E01F8BA5E0324309DB6A9831497ABAC96670", 16),
+            x_qB=int("4D44326F269A597A5B58BBA565DA5556ED7FD9A8A9EB76C25F46DB69D"
+                     "19DC8CE6AD18E404B15738B2086DF37E71D1EB4", 16),
+            y_qB=int("62D692136DE56CBE93BF5FA3188EF58BC8A3A0EC6C1E151A21038A42E"
+                     "9185329B5B275903D192F8D4E1F32FE9CC78C48", 16),
+            x_Z=int("0BD9D3A7EA0B3D519D09D8E48D0785FB744A6B355E6304BC51C229FBBC"
+                    "E239BBADF6403715C35D4FB2A5444F575D4F42", 16),
+            y_Z=int("0DF213417EBE4D8E40A5F76F66C56470C489A3478D146DECF6DF0D94BA"
+                    "E9E598157290F8756066975F1DB34B2324B7BD", 16))
+
+    def test_brainpoolP512r1(self):
+        self._do(
+            curve=curve_brainpoolp512r1,
+            generator=BRAINPOOLP512r1.generator,
+            dA=int("16302FF0DBBB5A8D733DAB7141C1B45ACBC8715939677F6A56850A38BD8"
+                   "7BD59B09E80279609FF333EB9D4C061231FB26F92EEB04982A5F1D1764C"
+                   "AD57665422", 16),
+            x_qA=int("0A420517E406AAC0ACDCE90FCD71487718D3B953EFD7FBEC5F7F27E28"
+                     "C6149999397E91E029E06457DB2D3E640668B392C2A7E737A7F0BF044"
+                     "36D11640FD09FD", 16),
+            y_qA=int("72E6882E8DB28AAD36237CD25D580DB23783961C8DC52DFA2EC138AD4"
+                     "72A0FCEF3887CF62B623B2A87DE5C588301EA3E5FC269B373B60724F5"
+                     "E82A6AD147FDE7", 16),
+            dB=int("230E18E1BCC88A362FA54E4EA3902009292F7F8033624FD471B5D8ACE49"
+                   "D12CFABBC19963DAB8E2F1EBA00BFFB29E4D72D13F2224562F405CB8050"
+                   "3666B25429", 16),
+            x_qB=int("9D45F66DE5D67E2E6DB6E93A59CE0BB48106097FF78A081DE781CDB31"
+                     "FCE8CCBAAEA8DD4320C4119F1E9CD437A2EAB3731FA9668AB268D871D"
+                     "EDA55A5473199F", 16),
+            y_qB=int("2FDC313095BCDD5FB3A91636F07A959C8E86B5636A1E930E8396049CB"
+                     "481961D365CC11453A06C719835475B12CB52FC3C383BCE35E27EF194"
+                     "512B71876285FA", 16),
+            x_Z=int("A7927098655F1F9976FA50A9D566865DC530331846381C87256BAF3226"
+                    "244B76D36403C024D7BBF0AA0803EAFF405D3D24F11A9B5C0BEF679FE1"
+                    "454B21C4CD1F", 16),
+            y_Z=int("7DB71C3DEF63212841C463E881BDCF055523BD368240E6C3143BD8DEF8"
+                    "B3B3223B95E0F53082FF5E412F4222537A43DF1C6D25729DDB51620A83"
+                    "2BE6A26680A2", 16))
+
+
+# https://tools.ietf.org/html/rfc4754#page-5
+@pytest.mark.parametrize("w, gwx, gwy, k, msg, md, r, s, curve",
+    [pytest.param(
+        "DC51D3866A15BACDE33D96F992FCA99DA7E6EF0934E7097559C27F1614C88A7F",
+        "2442A5CC0ECD015FA3CA31DC8E2BBC70BF42D60CBCA20085E0822CB04235E970",
+        "6FC98BD7E50211A4A27102FA3549DF79EBCB4BF246B80945CDDFE7D509BBFD7D",
+        "9E56F509196784D963D1C0A401510EE7ADA3DCC5DEE04B154BF61AF1D5A6DECE",
+        b"abc",
+        sha256,
+        "CB28E0999B9C7715FD0A80D8E47A77079716CBBF917DD72E97566EA1C066957C",
+        "86FA3BB4E26CAD5BF90B7F81899256CE7594BB1EA0C89212748BFF3B3D5B0315",
+        NIST256p,
+        id="ECDSA-256"),
+     pytest.param(
+        "0BEB646634BA87735D77AE4809A0EBEA865535DE4C1E1DCB692E84708E81A5AF"
+        "62E528C38B2A81B35309668D73524D9F",
+        "96281BF8DD5E0525CA049C048D345D3082968D10FEDF5C5ACA0C64E6465A97EA"
+        "5CE10C9DFEC21797415710721F437922",
+        "447688BA94708EB6E2E4D59F6AB6D7EDFF9301D249FE49C33096655F5D502FAD"
+        "3D383B91C5E7EDAA2B714CC99D5743CA",
+        "B4B74E44D71A13D568003D7489908D564C7761E229C58CBFA18950096EB7463B"
+        "854D7FA992F934D927376285E63414FA",
+        b'abc',
+        sha384,
+        "FB017B914E29149432D8BAC29A514640B46F53DDAB2C69948084E2930F1C8F7E"
+        "08E07C9C63F2D21A07DCB56A6AF56EB3",
+        "B263A1305E057F984D38726A1B46874109F417BCA112674C528262A40A629AF1"
+        "CBB9F516CE0FA7D2FF630863A00E8B9F",
+        NIST384p,
+        id="ECDSA-384"),
+     pytest.param(
+        "0065FDA3409451DCAB0A0EAD45495112A3D813C17BFD34BDF8C1209D7DF58491"
+        "20597779060A7FF9D704ADF78B570FFAD6F062E95C7E0C5D5481C5B153B48B37"
+        "5FA1",
+        "0151518F1AF0F563517EDD5485190DF95A4BF57B5CBA4CF2A9A3F6474725A35F"
+        "7AFE0A6DDEB8BEDBCD6A197E592D40188901CECD650699C9B5E456AEA5ADD190"
+        "52A8",
+        "006F3B142EA1BFFF7E2837AD44C9E4FF6D2D34C73184BBAD90026DD5E6E85317"
+        "D9DF45CAD7803C6C20035B2F3FF63AFF4E1BA64D1C077577DA3F4286C58F0AEA"
+        "E643",
+        "00C1C2B305419F5A41344D7E4359933D734096F556197A9B244342B8B62F46F9"
+        "373778F9DE6B6497B1EF825FF24F42F9B4A4BD7382CFC3378A540B1B7F0C1B95"
+        "6C2F",
+        b'abc',
+        sha512,
+        "0154FD3836AF92D0DCA57DD5341D3053988534FDE8318FC6AAAAB68E2E6F4339"
+        "B19F2F281A7E0B22C269D93CF8794A9278880ED7DBB8D9362CAEACEE54432055"
+        "2251",
+        "017705A7030290D1CEB605A9A1BB03FF9CDD521E87A696EC926C8C10C8362DF4"
+        "975367101F67D1CF9BCCBF2F3D239534FA509E70AAC851AE01AAC68D62F86647"
+        "2660",
+        NIST521p,
+        id="ECDSA-521")
+        ])
+def test_RFC4754_vectors(w, gwx, gwy, k, msg, md, r, s, curve):
+    sk = SigningKey.from_string(unhexlify(w), curve)
+    vk = VerifyingKey.from_string(unhexlify(gwx + gwy), curve)
+    assert sk.verifying_key == vk
+    sig = sk.sign(msg, hashfunc=md, sigencode=sigencode_strings, k=int(k, 16))
+
+    assert sig == (unhexlify(r), unhexlify(s))
+
+    assert vk.verify(sig, msg, md, sigdecode_strings)
diff --git a/third_party/python/ecdsa/ecdsa/test_rw_lock.py b/third_party/python/ecdsa/ecdsa/test_rw_lock.py
new file mode 100644
index 0000000000..de11d15622
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/test_rw_lock.py
@@ -0,0 +1,175 @@
+# Copyright Mateusz Kobos, (c) 2011
+# https://code.activestate.com/recipes/577803-reader-writer-lock-with-priority-for-writers/
+# released under the MIT licence
+
+import unittest
+import threading
+import time
+import copy
+from ._rwlock import RWLock
+
+
+class Writer(threading.Thread):
+    def __init__(self, buffer_, rw_lock, init_sleep_time, sleep_time, to_write):
+        """
+        @param buffer_: common buffer_ shared by the readers and writers
+        @type buffer_: list
+        @type rw_lock: L{RWLock}
+        @param init_sleep_time: sleep time before doing any action
+        @type init_sleep_time: C{float}
+        @param sleep_time: sleep time while in critical section
+        @type sleep_time: C{float}
+        @param to_write: data that will be appended to the buffer
+        """
+        threading.Thread.__init__(self)
+        self.__buffer = buffer_
+        self.__rw_lock = rw_lock
+        self.__init_sleep_time = init_sleep_time
+        self.__sleep_time = sleep_time
+        self.__to_write = to_write
+        self.entry_time = None
+        """Time of entry to the critical section"""
+        self.exit_time = None
+        """Time of exit from the critical section"""
+
+    def run(self):
+        time.sleep(self.__init_sleep_time)
+        self.__rw_lock.writer_acquire()
+        self.entry_time = time.time()
+        time.sleep(self.__sleep_time)
+        self.__buffer.append(self.__to_write)
+        self.exit_time = time.time()
+        self.__rw_lock.writer_release()
+
+
+class Reader(threading.Thread):
+    def __init__(self, buffer_, rw_lock, init_sleep_time, sleep_time):
+        """
+        @param buffer_: common buffer shared by the readers and writers
+        @type buffer_: list
+        @type rw_lock: L{RWLock}
+        @param init_sleep_time: sleep time before doing any action
+        @type init_sleep_time: C{float}
+        @param sleep_time: sleep time while in critical section
+        @type sleep_time: C{float}
+        """
+        threading.Thread.__init__(self)
+        self.__buffer = buffer_
+        self.__rw_lock = rw_lock
+        self.__init_sleep_time = init_sleep_time
+        self.__sleep_time = sleep_time
+        self.buffer_read = None
+        """a copy of a the buffer read while in critical section"""
+        self.entry_time = None
+        """Time of entry to the critical section"""
+        self.exit_time = None
+        """Time of exit from the critical section"""
+
+    def run(self):
+        time.sleep(self.__init_sleep_time)
+        self.__rw_lock.reader_acquire()
+        self.entry_time = time.time()
+        time.sleep(self.__sleep_time)
+        self.buffer_read = copy.deepcopy(self.__buffer)
+        self.exit_time = time.time()
+        self.__rw_lock.reader_release()
+
+
+class RWLockTestCase(unittest.TestCase):
+    def test_readers_nonexclusive_access(self):
+        (buffer_, rw_lock, threads) = self.__init_variables()
+
+        threads.append(Reader(buffer_, rw_lock, 0, 0))
+        threads.append(Writer(buffer_, rw_lock, 0.2, 0.4, 1))
+        threads.append(Reader(buffer_, rw_lock, 0.3, 0.3))
+        threads.append(Reader(buffer_, rw_lock, 0.5, 0))
+
+        self.__start_and_join_threads(threads)
+
+        ## The third reader should enter after the second one but it should
+        ## exit before the second one exits 
+        ## (i.e. the readers should be in the critical section 
+        ## at the same time)
+
+        self.assertEqual([], threads[0].buffer_read)
+        self.assertEqual([1], threads[2].buffer_read)
+        self.assertEqual([1], threads[3].buffer_read)
+        self.assert_(threads[1].exit_time <= threads[2].entry_time)
+        self.assert_(threads[2].entry_time <= threads[3].entry_time)
+        self.assert_(threads[3].exit_time < threads[2].exit_time)
+
+    def test_writers_exclusive_access(self):
+        (buffer_, rw_lock, threads) = self.__init_variables()
+
+        threads.append(Writer(buffer_, rw_lock, 0, 0.4, 1))
+        threads.append(Writer(buffer_, rw_lock, 0.1, 0, 2))
+        threads.append(Reader(buffer_, rw_lock, 0.2, 0))
+
+        self.__start_and_join_threads(threads)
+
+        ## The second writer should wait for the first one to exit
+
+        self.assertEqual([1, 2], threads[2].buffer_read)
+        self.assert_(threads[0].exit_time <= threads[1].entry_time)
+        self.assert_(threads[1].exit_time <= threads[2].exit_time)
+
+    def test_writer_priority(self):
+        (buffer_, rw_lock, threads) = self.__init_variables()
+
+        threads.append(Writer(buffer_, rw_lock, 0, 0, 1))
+        threads.append(Reader(buffer_, rw_lock, 0.1, 0.4))
+        threads.append(Writer(buffer_, rw_lock, 0.2, 0, 2))
+        threads.append(Reader(buffer_, rw_lock, 0.3, 0))
+        threads.append(Reader(buffer_, rw_lock, 0.3, 0))
+
+        self.__start_and_join_threads(threads)
+
+        ## The second writer should go before the second and the third reader
+
+        self.assertEqual([1], threads[1].buffer_read)
+        self.assertEqual([1, 2], threads[3].buffer_read)
+        self.assertEqual([1, 2], threads[4].buffer_read)
+        self.assert_(threads[0].exit_time < threads[1].entry_time)
+        self.assert_(threads[1].exit_time <= threads[2].entry_time)
+        self.assert_(threads[2].exit_time <= threads[3].entry_time)
+        self.assert_(threads[2].exit_time <= threads[4].entry_time)
+
+    def test_many_writers_priority(self):
+        (buffer_, rw_lock, threads) = self.__init_variables()
+
+        threads.append(Writer(buffer_, rw_lock, 0, 0, 1))
+        threads.append(Reader(buffer_, rw_lock, 0.1, 0.6))
+        threads.append(Writer(buffer_, rw_lock, 0.2, 0.1, 2))
+        threads.append(Reader(buffer_, rw_lock, 0.3, 0))
+        threads.append(Reader(buffer_, rw_lock, 0.4, 0))
+        threads.append(Writer(buffer_, rw_lock, 0.5, 0.1, 3))
+
+        self.__start_and_join_threads(threads)
+
+        ## The two last writers should go first -- after the first reader and
+        ## before the second and the third reader
+
+        self.assertEqual([1], threads[1].buffer_read)
+        self.assertEqual([1, 2, 3], threads[3].buffer_read)
+        self.assertEqual([1, 2, 3], threads[4].buffer_read)
+        self.assert_(threads[0].exit_time < threads[1].entry_time)
+        self.assert_(threads[1].exit_time <= threads[2].entry_time)
+        self.assert_(threads[1].exit_time <= threads[5].entry_time)
+        self.assert_(threads[2].exit_time <= threads[3].entry_time)
+        self.assert_(threads[2].exit_time <= threads[4].entry_time)
+        self.assert_(threads[5].exit_time <= threads[3].entry_time)
+        self.assert_(threads[5].exit_time <= threads[4].entry_time)
+
+    @staticmethod
+    def __init_variables():
+        buffer_ = []
+        rw_lock = RWLock()
+        threads = []
+        return (buffer_, rw_lock, threads)
+
+    @staticmethod
+    def __start_and_join_threads(threads):
+        for t in threads:
+            t.start()
+        for t in threads:
+            t.join()
diff --git a/third_party/python/ecdsa/ecdsa/util.py b/third_party/python/ecdsa/ecdsa/util.py
new file mode 100644
index 0000000000..5f1c7500b6
--- /dev/null
+++ b/third_party/python/ecdsa/ecdsa/util.py
@@ -0,0 +1,401 @@
+from __future__ import division
+
+import os
+import math
+import binascii
+import sys
+from hashlib import sha256
+from six import PY3, int2byte, b, next
+from . import der
+from ._compat import normalise_bytes
+
+# RFC5480:
+#   The "unrestricted" algorithm identifier is:
+#     id-ecPublicKey OBJECT IDENTIFIER ::= {
+#       iso(1) member-body(2) us(840) ansi-X9-62(10045) keyType(2) 1 }
+
+oid_ecPublicKey = (1, 2, 840, 10045, 2, 1)
+encoded_oid_ecPublicKey = der.encode_oid(*oid_ecPublicKey)
+
+if sys.version > '3':
+    def entropy_to_bits(ent_256):
+        """Convert a bytestring to string of 0's and 1's"""
+        return bin(int.from_bytes(ent_256, 'big'))[2:].zfill(len(ent_256)*8)
+else:
+    def entropy_to_bits(ent_256):
+        """Convert a bytestring to string of 0's and 1's"""
+        return ''.join(bin(ord(x))[2:].zfill(8) for x in ent_256)
+
+
+if sys.version < '2.7':
+    # Can't add a method to a built-in type so we are stuck with this
+    def bit_length(x):
+        return len(bin(x)) - 2
+else:
+    def bit_length(x):
+        return x.bit_length() or 1
+
+
+def orderlen(order):
+    return (1+len("%x" % order))//2  # bytes
+
+
+def randrange(order, entropy=None):
+    """Return a random integer k such that 1 <= k < order, uniformly
+    distributed across that range. Worst case should be a mean of 2 loops at
+    (2**k)+2.
+
+    Note that this function is not declared to be forwards-compatible: we may
+    change the behavior in future releases. The entropy= argument (which
+    should get a callable that behaves like os.urandom) can be used to
+    achieve stability within a given release (for repeatable unit tests), but
+    should not be used as a long-term-compatible key generation algorithm.
+    """
+    assert order > 1
+    if entropy is None:
+        entropy = os.urandom
+    upper_2 = bit_length(order-2)
+    upper_256 = upper_2//8 + 1
+    while True:  # I don't think this needs a counter with bit-wise randrange
+        ent_256 = entropy(upper_256)
+        ent_2 = entropy_to_bits(ent_256)
+        rand_num = int(ent_2[:upper_2], base=2) + 1
+        if 0 < rand_num < order:
+            return rand_num
+
+
+class PRNG:
+    # this returns a callable which, when invoked with an integer N, will
+    # return N pseudorandom bytes. Note: this is a short-term PRNG, meant
+    # primarily for the needs of randrange_from_seed__trytryagain(), which
+    # only needs to run it a few times per seed. It does not provide
+    # protection against state compromise (forward security).
+    def __init__(self, seed):
+        self.generator = self.block_generator(seed)
+
+    def __call__(self, numbytes):
+        a = [next(self.generator) for i in range(numbytes)]
+
+        if PY3:
+            return bytes(a)
+        else:
+            return "".join(a)
+
+    def block_generator(self, seed):
+        counter = 0
+        while True:
+            for byte in sha256(("prng-%d-%s" % (counter, seed)).encode()).digest():
+                yield byte
+            counter += 1
+
+
+def randrange_from_seed__overshoot_modulo(seed, order):
+    # hash the data, then turn the digest into a number in [1,order).
+    #
+    # We use David-Sarah Hopwood's suggestion: turn it into a number that's
+    # sufficiently larger than the group order, then modulo it down to fit.
+    # This should give adequate (but not perfect) uniformity, and simple
+    # code. There are other choices: try-try-again is the main one.
+    base = PRNG(seed)(2 * orderlen(order))
+    number = (int(binascii.hexlify(base), 16) % (order - 1)) + 1
+    assert 1 <= number < order, (1, number, order)
+    return number
+
+
+def lsb_of_ones(numbits):
+    return (1 << numbits) - 1
+
+
+def bits_and_bytes(order):
+    bits = int(math.log(order - 1, 2) + 1)
+    bytes = bits // 8
+    extrabits = bits % 8
+    return bits, bytes, extrabits
+
+
+# the following randrange_from_seed__METHOD() functions take an
+# arbitrarily-sized secret seed and turn it into a number that obeys the same
+# range limits as randrange() above. They are meant for deriving consistent
+# signing keys from a secret rather than generating them randomly, for
+# example a protocol in which three signing keys are derived from a master
+# secret. You should use a uniformly-distributed unguessable seed with about
+# curve.baselen bytes of entropy. To use one, do this:
+#   seed = os.urandom(curve.baselen) # or other starting point
+#   secexp = ecdsa.util.randrange_from_seed__trytryagain(sed, curve.order)
+#   sk = SigningKey.from_secret_exponent(secexp, curve)
+
+def randrange_from_seed__truncate_bytes(seed, order, hashmod=sha256):
+    # hash the seed, then turn the digest into a number in [1,order), but
+    # don't worry about trying to uniformly fill the range. This will lose,
+    # on average, four bits of entropy.
+    bits, _bytes, extrabits = bits_and_bytes(order)
+    if extrabits:
+        _bytes += 1
+    base = hashmod(seed).digest()[:_bytes]
+    base = "\x00" * (_bytes - len(base)) + base
+    number = 1 + int(binascii.hexlify(base), 16)
+    assert 1 <= number < order
+    return number
+
+
+def randrange_from_seed__truncate_bits(seed, order, hashmod=sha256):
+    # like string_to_randrange_truncate_bytes, but only lose an average of
+    # half a bit
+    bits = int(math.log(order - 1, 2) + 1)
+    maxbytes = (bits + 7) // 8
+    base = hashmod(seed).digest()[:maxbytes]
+    base = "\x00" * (maxbytes - len(base)) + base
+    topbits = 8 * maxbytes - bits
+    if topbits:
+        base = int2byte(ord(base[0]) & lsb_of_ones(topbits)) + base[1:]
+    number = 1 + int(binascii.hexlify(base), 16)
+    assert 1 <= number < order
+    return number
+
+
+def randrange_from_seed__trytryagain(seed, order):
+    # figure out exactly how many bits we need (rounded up to the nearest
+    # bit), so we can reduce the chance of looping to less than 0.5 . This is
+    # specified to feed from a byte-oriented PRNG, and discards the
+    # high-order bits of the first byte as necessary to get the right number
+    # of bits. The average number of loops will range from 1.0 (when
+    # order=2**k-1) to 2.0 (when order=2**k+1).
+    assert order > 1
+    bits, bytes, extrabits = bits_and_bytes(order)
+    generate = PRNG(seed)
+    while True:
+        extrabyte = b("")
+        if extrabits:
+            extrabyte = int2byte(ord(generate(1)) & lsb_of_ones(extrabits))
+        guess = string_to_number(extrabyte + generate(bytes)) + 1
+        if 1 <= guess < order:
+            return guess
+
+
+def number_to_string(num, order):
+    l = orderlen(order)
+    fmt_str = "%0" + str(2 * l) + "x"
+    string = binascii.unhexlify((fmt_str % num).encode())
+    assert len(string) == l, (len(string), l)
+    return string
+
+
+def number_to_string_crop(num, order):
+    l = orderlen(order)
+    fmt_str = "%0" + str(2 * l) + "x"
+    string = binascii.unhexlify((fmt_str % num).encode())
+    return string[:l]
+
+
+def string_to_number(string):
+    return int(binascii.hexlify(string), 16)
+
+
+def string_to_number_fixedlen(string, order):
+    l = orderlen(order)
+    assert len(string) == l, (len(string), l)
+    return int(binascii.hexlify(string), 16)
+
+
+# these methods are useful for the sigencode= argument to SK.sign() and the
+# sigdecode= argument to VK.verify(), and control how the signature is packed
+# or unpacked.
+
+def sigencode_strings(r, s, order):
+    r_str = number_to_string(r, order)
+    s_str = number_to_string(s, order)
+    return (r_str, s_str)
+
+
+def sigencode_string(r, s, order):
+    """
+    Encode the signature to raw format (:term:`raw encoding`)
+
+    It's expected that this function will be used as a `sigencode=` parameter
+    in :func:`ecdsa.keys.SigningKey.sign` method.
+
+    :param int r: first parameter of the signature
+    :param int s: second parameter of the signature
+    :param int order: the order of the curve over which the signature was
+        computed
+
+    :return: raw encoding of ECDSA signature
+    :rtype: bytes
+    """
+    # for any given curve, the size of the signature numbers is
+    # fixed, so just use simple concatenation
+    r_str, s_str = sigencode_strings(r, s, order)
+    return r_str + s_str
+
+
+def sigencode_der(r, s, order):
+    """
+    Encode the signature into the ECDSA-Sig-Value structure using :term:`DER`.
+
+    Encodes the signature to the following :term:`ASN.1` structure::
+
+        Ecdsa-Sig-Value ::= SEQUENCE {
+            r       INTEGER,
+            s       INTEGER
+        }
+
+    It's expected that this function will be used as a `sigencode=` parameter
+    in :func:`ecdsa.keys.SigningKey.sign` method.
+
+    :param int r: first parameter of the signature
+    :param int s: second parameter of the signature
+    :param int order: the order of the curve over which the signature was
+        computed
+
+    :return: DER encoding of ECDSA signature
+    :rtype: bytes
+    """
+    return der.encode_sequence(der.encode_integer(r), der.encode_integer(s))
+
+
+# canonical versions of sigencode methods
+# these enforce low S values, by negating the value (modulo the order) if above order/2
+# see CECKey::Sign() https://github.com/bitcoin/bitcoin/blob/master/src/key.cpp#L214
+def sigencode_strings_canonize(r, s, order):
+    if s > order / 2:
+        s = order - s
+    return sigencode_strings(r, s, order)
+
+
+def sigencode_string_canonize(r, s, order):
+    if s > order / 2:
+        s = order - s
+    return sigencode_string(r, s, order)
+
+
+def sigencode_der_canonize(r, s, order):
+    if s > order / 2:
+        s = order - s
+    return sigencode_der(r, s, order)
+
+
+class MalformedSignature(Exception):
+    """
+    Raised by decoding functions when the signature is malformed.
+
+    Malformed in this context means that the relevant strings or integers
+    do not match what a signature over provided curve would create. Either
+    because the byte strings have incorrect lengths or because the encoded
+    values are too large.
+    """
+
+    pass
+
+
+def sigdecode_string(signature, order):
+    """
+    Decoder for :term:`raw encoding`  of ECDSA signatures.
+
+    raw encoding is a simple concatenation of the two integers that comprise
+    the signature, with each encoded using the same amount of bytes depending
+    on curve size/order.
+
+    It's expected that this function will be used as the `sigdecode=`
+    parameter to the :func:`ecdsa.keys.VerifyingKey.verify` method.
+
+    :param signature: encoded signature
+    :type signature: bytes like object
+    :param order: order of the curve over which the signature was computed
+    :type order: int
+
+    :raises MalformedSignature: when the encoding of the signature is invalid
+
+    :return: tuple with decoded 'r' and 's' values of signature
+    :rtype: tuple of ints
+    """
+    signature = normalise_bytes(signature)
+    l = orderlen(order)
+    if not len(signature) == 2 * l:
+        raise MalformedSignature(
+            "Invalid length of signature, expected {0} bytes long, "
+            "provided string is {1} bytes long"
+            .format(2 * l, len(signature)))
+    r = string_to_number_fixedlen(signature[:l], order)
+    s = string_to_number_fixedlen(signature[l:], order)
+    return r, s
+
+
+def sigdecode_strings(rs_strings, order):
+    """
+    Decode the signature from two strings.
+
+    First string needs to be a big endian encoding of 'r', second needs to
+    be a big endian encoding of the 's' parameter of an ECDSA signature.
+
+    It's expected that this function will be used as the `sigdecode=`
+    parameter to the :func:`ecdsa.keys.VerifyingKey.verify` method.
+
+    :param list rs_strings: list of two bytes-like objects, each encoding one
+        parameter of signature
+    :param int order: order of the curve over which the signature was computed
+
+    :raises MalformedSignature: when the encoding of the signature is invalid
+
+    :return: tuple with decoded 'r' and 's' values of signature
+    :rtype: tuple of ints
+    """
+    if not len(rs_strings) == 2:
+        raise MalformedSignature(
+            "Invalid number of strings provided: {0}, expected 2"
+            .format(len(rs_strings)))
+    (r_str, s_str) = rs_strings
+    r_str = normalise_bytes(r_str)
+    s_str = normalise_bytes(s_str)
+    l = orderlen(order)
+    if not len(r_str) == l:
+        raise MalformedSignature(
+            "Invalid length of first string ('r' parameter), "
+            "expected {0} bytes long, provided string is {1} bytes long"
+            .format(l, len(r_str)))
+    if not len(s_str) == l:
+        raise MalformedSignature(
+            "Invalid length of second string ('s' parameter), "
+            "expected {0} bytes long, provided string is {1} bytes long"
+            .format(l, len(s_str)))
+    r = string_to_number_fixedlen(r_str, order)
+    s = string_to_number_fixedlen(s_str, order)
+    return r, s
+
+
+def sigdecode_der(sig_der, order):
+    """
+    Decoder for DER format of ECDSA signatures.
+
+    DER format of signature is one that uses the :term:`ASN.1` :term:`DER`
+    rules to encode it as a sequence of two integers::
+
+        Ecdsa-Sig-Value ::= SEQUENCE {
+            r       INTEGER,
+            s       INTEGER
+        }
+
+    It's expected that this function will be used as as the `sigdecode=`
+    parameter to the :func:`ecdsa.keys.VerifyingKey.verify` method.
+
+    :param sig_der: encoded signature
+    :type sig_der: bytes like object
+    :param order: order of the curve over which the signature was computed
+    :type order: int
+
+    :raises UnexpectedDER: when the encoding of signature is invalid
+
+    :return: tuple with decoded 'r' and 's' values of signature
+    :rtype: tuple of ints
+    """
+    sig_der = normalise_bytes(sig_der)
+    # return der.encode_sequence(der.encode_integer(r), der.encode_integer(s))
+    rs_strings, empty = der.remove_sequence(sig_der)
+    if empty != b"":
+        raise der.UnexpectedDER("trailing junk after DER sig: %s" %
+                                binascii.hexlify(empty))
+    r, rest = der.remove_integer(rs_strings)
+    s, empty = der.remove_integer(rest)
+    if empty != b"":
+        raise der.UnexpectedDER("trailing junk after DER numbers: %s" %
+                                binascii.hexlify(empty))
+    return r, s