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  1. Elasticsearch X-Pack
  2. Copyright 2009-2017 Elasticsearch
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  4. commons-math3 NOTICE
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  6. Apache Commons Math
  7. Copyright 2001-2016 The Apache Software Foundation
  8. This product includes software developed at
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  10. This product includes software developed for Orekit by
  11. CS Systèmes d'Information (http://www.c-s.fr/)
  12. Copyright 2010-2012 CS Systèmes d'Information
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  14. commons-math3 LICENSE
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  185. Apache Commons Math includes the following code provided to the ASF under the
  186. Apache License 2.0:
  187. - The inverse error function implementation in the Erf class is based on CUDA
  188. code developed by Mike Giles, Oxford-Man Institute of Quantitative Finance,
  189. and published in GPU Computing Gems, volume 2, 2010 (grant received on
  190. March 23th 2013)
  191. - The LinearConstraint, LinearObjectiveFunction, LinearOptimizer,
  192. RelationShip, SimplexSolver and SimplexTableau classes in package
  193. org.apache.commons.math3.optimization.linear include software developed by
  194. Benjamin McCann (http://www.benmccann.com) and distributed with
  195. the following copyright: Copyright 2009 Google Inc. (grant received on
  196. March 16th 2009)
  197. - The class "org.apache.commons.math3.exception.util.LocalizedFormatsTest" which
  198. is an adapted version of "OrekitMessagesTest" test class for the Orekit library
  199. - The "org.apache.commons.math3.analysis.interpolation.HermiteInterpolator"
  200. has been imported from the Orekit space flight dynamics library.
  201. ===============================================================================
  202. APACHE COMMONS MATH DERIVATIVE WORKS:
  203. The Apache commons-math library includes a number of subcomponents
  204. whose implementation is derived from original sources written
  205. in C or Fortran. License terms of the original sources
  206. are reproduced below.
  207. ===============================================================================
  208. For the lmder, lmpar and qrsolv Fortran routine from minpack and translated in
  209. the LevenbergMarquardtOptimizer class in package
  210. org.apache.commons.math3.optimization.general
  211. Original source copyright and license statement:
  212. Minpack Copyright Notice (1999) University of Chicago. All rights reserved
  213. Redistribution and use in source and binary forms, with or
  214. without modification, are permitted provided that the
  215. following conditions are met:
  216. 1. Redistributions of source code must retain the above
  217. copyright notice, this list of conditions and the following
  218. disclaimer.
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  220. copyright notice, this list of conditions and the following
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  226. "This product includes software developed by the
  227. University of Chicago, as Operator of Argonne National
  228. Laboratory.
  229. Alternately, this acknowledgment may appear in the software
  230. itself, if and wherever such third-party acknowledgments
  231. normally appear.
  232. 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS"
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  234. UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND
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  253. EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE
  254. POSSIBILITY OF SUCH LOSS OR DAMAGES.
  255. ===============================================================================
  256. Copyright and license statement for the odex Fortran routine developed by
  257. E. Hairer and G. Wanner and translated in GraggBulirschStoerIntegrator class
  258. in package org.apache.commons.math3.ode.nonstiff:
  259. Copyright (c) 2004, Ernst Hairer
  260. Redistribution and use in source and binary forms, with or without
  261. modification, are permitted provided that the following conditions are
  262. met:
  263. - Redistributions of source code must retain the above copyright
  264. notice, this list of conditions and the following disclaimer.
  265. - Redistributions in binary form must reproduce the above copyright
  266. notice, this list of conditions and the following disclaimer in the
  267. documentation and/or other materials provided with the distribution.
  268. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS
  269. IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
  270. TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A
  271. PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR
  272. CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
  273. EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
  274. PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
  275. PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
  276. LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
  277. NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  278. SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  279. ===============================================================================
  280. Copyright and license statement for the original Mersenne twister C
  281. routines translated in MersenneTwister class in package
  282. org.apache.commons.math3.random:
  283. Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
  284. All rights reserved.
  285. Redistribution and use in source and binary forms, with or without
  286. modification, are permitted provided that the following conditions
  287. are met:
  288. 1. Redistributions of source code must retain the above copyright
  289. notice, this list of conditions and the following disclaimer.
  290. 2. Redistributions in binary form must reproduce the above copyright
  291. notice, this list of conditions and the following disclaimer in the
  292. documentation and/or other materials provided with the distribution.
  293. 3. The names of its contributors may not be used to endorse or promote
  294. products derived from this software without specific prior written
  295. permission.
  296. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
  297. "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
  298. LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
  299. A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
  300. CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
  301. EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
  302. PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
  303. PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
  304. LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
  305. NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  306. SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  307. ===============================================================================
  308. The initial code for shuffling an array (originally in class
  309. "org.apache.commons.math3.random.RandomDataGenerator", now replaced by
  310. a method in class "org.apache.commons.math3.util.MathArrays") was
  311. inspired from the algorithm description provided in
  312. "Algorithms", by Ian Craw and John Pulham (University of Aberdeen 1999).
  313. The textbook (containing a proof that the shuffle is uniformly random) is
  314. available here:
  315. http://citeseerx.ist.psu.edu/viewdoc/download;?doi=10.1.1.173.1898&rep=rep1&type=pdf
  316. ===============================================================================
  317. License statement for the direction numbers in the resource files for Sobol sequences.
  318. -----------------------------------------------------------------------------
  319. Licence pertaining to sobol.cc and the accompanying sets of direction numbers
  320. -----------------------------------------------------------------------------
  321. Copyright (c) 2008, Frances Y. Kuo and Stephen Joe
  322. All rights reserved.
  323. Redistribution and use in source and binary forms, with or without
  324. modification, are permitted provided that the following conditions are met:
  325. * Redistributions of source code must retain the above copyright
  326. notice, this list of conditions and the following disclaimer.
  327. * Redistributions in binary form must reproduce the above copyright
  328. notice, this list of conditions and the following disclaimer in the
  329. documentation and/or other materials provided with the distribution.
  330. * Neither the names of the copyright holders nor the names of the
  331. University of New South Wales and the University of Waikato
  332. and its contributors may be used to endorse or promote products derived
  333. from this software without specific prior written permission.
  334. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
  335. EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
  336. WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
  337. DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY
  338. DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
  339. (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  340. LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
  341. ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  342. (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  343. SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  344. ===============================================================================
  345. The initial commit of package "org.apache.commons.math3.ml.neuralnet" is
  346. an adapted version of code developed in the context of the Data Processing
  347. and Analysis Consortium (DPAC) of the "Gaia" project of the European Space
  348. Agency (ESA).
  349. ===============================================================================
  350. The initial commit of the class "org.apache.commons.math3.special.BesselJ" is
  351. an adapted version of code translated from the netlib Fortran program, rjbesl
  352. http://www.netlib.org/specfun/rjbesl by R.J. Cody at Argonne National
  353. Laboratory (USA). There is no license or copyright statement included with the
  354. original Fortran sources.
  355. ===============================================================================
  356. The BracketFinder (package org.apache.commons.math3.optimization.univariate)
  357. and PowellOptimizer (package org.apache.commons.math3.optimization.general)
  358. classes are based on the Python code in module "optimize.py" (version 0.5)
  359. developed by Travis E. Oliphant for the SciPy library (http://www.scipy.org/)
  360. Copyright © 2003-2009 SciPy Developers.
  361. SciPy license
  362. Copyright © 2001, 2002 Enthought, Inc.
  363. All rights reserved.
  364. Copyright © 2003-2013 SciPy Developers.
  365. All rights reserved.
  366. Redistribution and use in source and binary forms, with or without
  367. modification, are permitted provided that the following conditions are met:
  368. * Redistributions of source code must retain the above copyright
  369. notice, this list of conditions and the following disclaimer.
  370. * Redistributions in binary form must reproduce the above copyright
  371. notice, this list of conditions and the following disclaimer in the
  372. documentation and/or other materials provided with the distribution.
  373. * Neither the name of Enthought nor the names of the SciPy Developers may
  374. be used to endorse or promote products derived from this software without
  375. specific prior written permission.
  376. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS “AS IS” AND ANY
  377. EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
  378. WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
  379. DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
  380. DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
  381. (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  382. LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
  383. ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
  384. (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
  385. SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
  386. ===============================================================================