PoseKit source-built MediaPipe: conservative third-party notices Nested notices may describe code not linked into the framework. ===== FP16/LICENSE ===== The MIT License (MIT) Copyright (c) 2017 Facebook Inc. Copyright (c) 2017 Georgia Institute of Technology Copyright 2019 Google LLC 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. ===== FXdiv/LICENSE ===== The MIT License (MIT) Copyright (c) 2017 Facebook Inc. Copyright (c) 2016-2017 Marat Dukhan 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. ===== KleidiAI/LICENSES/Apache-2.0.txt ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== KleidiAI/LICENSES/BSD-3-Clause.txt ===== Copyright (c) . Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== XNNPACK/LICENSE ===== BSD License For XNNPACK software Copyright (c) Facebook, Inc. and its affiliates. All rights reserved. Copyright 2019 Google LLC Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name Facebook nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== com_github_glog_glog_no_gflags/COPYING ===== Copyright (c) 2008, Google Inc. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. A function gettimeofday in utilities.cc is based on http://www.google.com/codesearch/p?hl=en#dR3YEbitojA/COPYING&q=GetSystemTimeAsFileTime%20license:bsd The license of this code is: Copyright (c) 2003-2008, Jouni Malinen and contributors All Rights Reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. Neither the name(s) of the above-listed copyright holder(s) nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== com_google_absl/LICENSE ===== Apache License Version 2.0, January 2004 https://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at https://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== com_google_audio_tools/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. Create Short LinkX ===== com_google_protobuf/LICENSE ===== Copyright 2008 Google Inc. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. Code generated by the Protocol Buffer compiler is owned by the owner of the input file used when generating it. This code is not standalone and requires a support library to be linked with it. This support library is itself covered by the above license. ===== com_google_protobuf/third_party/lunit/LICENSE ===== Lunit License ------------- Lunit is written by Michael Roth and is licensed under the terms of the MIT license reproduced below. ======================================================================== Copyright (c) 2004-2010 Michael Roth 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. ======================================================================== ===== com_google_protobuf/third_party/utf8_range/LICENSE ===== MIT License Copyright (c) 2019 Yibo Cai Copyright 2022 Google LLC 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. ===== com_google_sentencepiece/sentencepiece/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== com_google_sentencepiece/sentencepiece/third_party/absl/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== com_google_sentencepiece/sentencepiece/third_party/darts_clone/LICENSE ===== Copyright (c) 2008-2011, Susumu Yata All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: - Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. - Neither the name of the nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== com_google_sentencepiece/sentencepiece/third_party/esaxx/LICENSE ===== This is the esaxx copyright. Copyright (c) 2010 Daisuke Okanohara All Rights Reserved. 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. ===== com_google_sentencepiece/sentencepiece/third_party/protobuf-lite/LICENSE ===== Copyright 2008 Google Inc. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. Code generated by the Protocol Buffer compiler is owned by the owner of the input file used when generating it. This code is not standalone and requires a support library to be linked with it. This support library is itself covered by the above license. ===== com_googlesource_code_re2/LICENSE ===== // Copyright (c) 2009 The RE2 Authors. All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== com_googlesource_code_re2/python/LICENSE ===== // Copyright (c) 2009 The RE2 Authors. All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Google Inc. nor the names of its // contributors may be used to endorse or promote products derived from // this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== com_googlesource_code_re2/re2/fuzzing/compiler-rt/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. --- LLVM Exceptions to the Apache 2.0 License ---- As an exception, if, as a result of your compiling your source code, portions of this Software are embedded into an Object form of such source code, you may redistribute such embedded portions in such Object form without complying with the conditions of Sections 4(a), 4(b) and 4(d) of the License. In addition, if you combine or link compiled forms of this Software with software that is licensed under the GPLv2 ("Combined Software") and if a court of competent jurisdiction determines that the patent provision (Section 3), the indemnity provision (Section 9) or other Section of the License conflicts with the conditions of the GPLv2, you may retroactively and prospectively choose to deem waived or otherwise exclude such Section(s) of the License, but only in their entirety and only with respect to the Combined Software. ===== cpuinfo/LICENSE ===== Copyright (c) 2019 Google LLC Copyright (c) 2017-2018 Facebook Inc. Copyright (C) 2012-2017 Georgia Institute of Technology Copyright (C) 2010-2012 Marat Dukhan All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== cpuinfo/deps/clog/LICENSE ===== Copyright (C) 2018 Marat Dukhan Copyright (c) 2017-2018 Facebook Inc. Copyright (c) 2017 Georgia Institute of Technology All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== darts_clone/COPYING.md ===== # The BSD 2-clause license Copyright (c) 2008-2014, Susumu Yata All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== eigen/COPYING.APACHE ===== /* Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. */ ===== eigen/COPYING.BSD ===== /* Copyright (c) 2011, Intel Corporation. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Intel Corporation nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ ===== eigen/COPYING.MINPACK ===== Minpack Copyright Notice (1999) University of Chicago. All rights reserved Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. The end-user documentation included with the redistribution, if any, must include the following acknowledgment: "This product includes software developed by the University of Chicago, as Operator of Argonne National Laboratory. Alternately, this acknowledgment may appear in the software itself, if and wherever such third-party acknowledgments normally appear. 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS" WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4) DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL BE CORRECTED. 5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT, INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE, EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE POSSIBILITY OF SUCH LOSS OR DAMAGES. ===== eigen/COPYING.MPL2 ===== Mozilla Public License Version 2.0 ================================== 1. Definitions -------------- 1.1. "Contributor" means each individual or legal entity that creates, contributes to the creation of, or owns Covered Software. 1.2. "Contributor Version" means the combination of the Contributions of others (if any) used by a Contributor and that particular Contributor's Contribution. 1.3. "Contribution" means Covered Software of a particular Contributor. 1.4. "Covered Software" means Source Code Form to which the initial Contributor has attached the notice in Exhibit A, the Executable Form of such Source Code Form, and Modifications of such Source Code Form, in each case including portions thereof. 1.5. "Incompatible With Secondary Licenses" means (a) that the initial Contributor has attached the notice described in Exhibit B to the Covered Software; or (b) that the Covered Software was made available under the terms of version 1.1 or earlier of the License, but not also under the terms of a Secondary License. 1.6. "Executable Form" means any form of the work other than Source Code Form. 1.7. "Larger Work" means a work that combines Covered Software with other material, in a separate file or files, that is not Covered Software. 1.8. "License" means this document. 1.9. "Licensable" means having the right to grant, to the maximum extent possible, whether at the time of the initial grant or subsequently, any and all of the rights conveyed by this License. 1.10. "Modifications" means any of the following: (a) any file in Source Code Form that results from an addition to, deletion from, or modification of the contents of Covered Software; or (b) any new file in Source Code Form that contains any Covered Software. 1.11. "Patent Claims" of a Contributor means any patent claim(s), including without limitation, method, process, and apparatus claims, in any patent Licensable by such Contributor that would be infringed, but for the grant of the License, by the making, using, selling, offering for sale, having made, import, or transfer of either its Contributions or its Contributor Version. 1.12. "Secondary License" means either the GNU General Public License, Version 2.0, the GNU Lesser General Public License, Version 2.1, the GNU Affero General Public License, Version 3.0, or any later versions of those licenses. 1.13. "Source Code Form" means the form of the work preferred for making modifications. 1.14. "You" (or "Your") means an individual or a legal entity exercising rights under this License. For legal entities, "You" includes any entity that controls, is controlled by, or is under common control with You. For purposes of this definition, "control" means (a) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (b) ownership of more than fifty percent (50%) of the outstanding shares or beneficial ownership of such entity. 2. License Grants and Conditions -------------------------------- 2.1. Grants Each Contributor hereby grants You a world-wide, royalty-free, non-exclusive license: (a) under intellectual property rights (other than patent or trademark) Licensable by such Contributor to use, reproduce, make available, modify, display, perform, distribute, and otherwise exploit its Contributions, either on an unmodified basis, with Modifications, or as part of a Larger Work; and (b) under Patent Claims of such Contributor to make, use, sell, offer for sale, have made, import, and otherwise transfer either its Contributions or its Contributor Version. 2.2. Effective Date The licenses granted in Section 2.1 with respect to any Contribution become effective for each Contribution on the date the Contributor first distributes such Contribution. 2.3. Limitations on Grant Scope The licenses granted in this Section 2 are the only rights granted under this License. No additional rights or licenses will be implied from the distribution or licensing of Covered Software under this License. Notwithstanding Section 2.1(b) above, no patent license is granted by a Contributor: (a) for any code that a Contributor has removed from Covered Software; or (b) for infringements caused by: (i) Your and any other third party's modifications of Covered Software, or (ii) the combination of its Contributions with other software (except as part of its Contributor Version); or (c) under Patent Claims infringed by Covered Software in the absence of its Contributions. This License does not grant any rights in the trademarks, service marks, or logos of any Contributor (except as may be necessary to comply with the notice requirements in Section 3.4). 2.4. Subsequent Licenses No Contributor makes additional grants as a result of Your choice to distribute the Covered Software under a subsequent version of this License (see Section 10.2) or under the terms of a Secondary License (if permitted under the terms of Section 3.3). 2.5. Representation Each Contributor represents that the Contributor believes its Contributions are its original creation(s) or it has sufficient rights to grant the rights to its Contributions conveyed by this License. 2.6. Fair Use This License is not intended to limit any rights You have under applicable copyright doctrines of fair use, fair dealing, or other equivalents. 2.7. Conditions Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted in Section 2.1. 3. Responsibilities ------------------- 3.1. Distribution of Source Form All distribution of Covered Software in Source Code Form, including any Modifications that You create or to which You contribute, must be under the terms of this License. You must inform recipients that the Source Code Form of the Covered Software is governed by the terms of this License, and how they can obtain a copy of this License. You may not attempt to alter or restrict the recipients' rights in the Source Code Form. 3.2. Distribution of Executable Form If You distribute Covered Software in Executable Form then: (a) such Covered Software must also be made available in Source Code Form, as described in Section 3.1, and You must inform recipients of the Executable Form how they can obtain a copy of such Source Code Form by reasonable means in a timely manner, at a charge no more than the cost of distribution to the recipient; and (b) You may distribute such Executable Form under the terms of this License, or sublicense it under different terms, provided that the license for the Executable Form does not attempt to limit or alter the recipients' rights in the Source Code Form under this License. 3.3. Distribution of a Larger Work You may create and distribute a Larger Work under terms of Your choice, provided that You also comply with the requirements of this License for the Covered Software. If the Larger Work is a combination of Covered Software with a work governed by one or more Secondary Licenses, and the Covered Software is not Incompatible With Secondary Licenses, this License permits You to additionally distribute such Covered Software under the terms of such Secondary License(s), so that the recipient of the Larger Work may, at their option, further distribute the Covered Software under the terms of either this License or such Secondary License(s). 3.4. Notices You may not remove or alter the substance of any license notices (including copyright notices, patent notices, disclaimers of warranty, or limitations of liability) contained within the Source Code Form of the Covered Software, except that You may alter any license notices to the extent required to remedy known factual inaccuracies. 3.5. Application of Additional Terms You may choose to offer, and to charge a fee for, warranty, support, indemnity or liability obligations to one or more recipients of Covered Software. However, You may do so only on Your own behalf, and not on behalf of any Contributor. You must make it absolutely clear that any such warranty, support, indemnity, or liability obligation is offered by You alone, and You hereby agree to indemnify every Contributor for any liability incurred by such Contributor as a result of warranty, support, indemnity or liability terms You offer. You may include additional disclaimers of warranty and limitations of liability specific to any jurisdiction. 4. Inability to Comply Due to Statute or Regulation --------------------------------------------------- If it is impossible for You to comply with any of the terms of this License with respect to some or all of the Covered Software due to statute, judicial order, or regulation then You must: (a) comply with the terms of this License to the maximum extent possible; and (b) describe the limitations and the code they affect. Such description must be placed in a text file included with all distributions of the Covered Software under this License. Except to the extent prohibited by statute or regulation, such description must be sufficiently detailed for a recipient of ordinary skill to be able to understand it. 5. Termination -------------- 5.1. The rights granted under this License will terminate automatically if You fail to comply with any of its terms. However, if You become compliant, then the rights granted under this License from a particular Contributor are reinstated (a) provisionally, unless and until such Contributor explicitly and finally terminates Your grants, and (b) on an ongoing basis, if such Contributor fails to notify You of the non-compliance by some reasonable means prior to 60 days after You have come back into compliance. Moreover, Your grants from a particular Contributor are reinstated on an ongoing basis if such Contributor notifies You of the non-compliance by some reasonable means, this is the first time You have received notice of non-compliance with this License from such Contributor, and You become compliant prior to 30 days after Your receipt of the notice. 5.2. If You initiate litigation against any entity by asserting a patent infringement claim (excluding declaratory judgment actions, counter-claims, and cross-claims) alleging that a Contributor Version directly or indirectly infringes any patent, then the rights granted to You by any and all Contributors for the Covered Software under Section 2.1 of this License shall terminate. 5.3. In the event of termination under Sections 5.1 or 5.2 above, all end user license agreements (excluding distributors and resellers) which have been validly granted by You or Your distributors under this License prior to termination shall survive termination. ************************************************************************ * * * 6. Disclaimer of Warranty * * ------------------------- * * * * Covered Software is provided under this License on an "as is" * * basis, without warranty of any kind, either expressed, implied, or * * statutory, including, without limitation, warranties that the * * Covered Software is free of defects, merchantable, fit for a * * particular purpose or non-infringing. The entire risk as to the * * quality and performance of the Covered Software is with You. * * Should any Covered Software prove defective in any respect, You * * (not any Contributor) assume the cost of any necessary servicing, * * repair, or correction. This disclaimer of warranty constitutes an * * essential part of this License. No use of any Covered Software is * * authorized under this License except under this disclaimer. * * * ************************************************************************ ************************************************************************ * * * 7. Limitation of Liability * * -------------------------- * * * * Under no circumstances and under no legal theory, whether tort * * (including negligence), contract, or otherwise, shall any * * Contributor, or anyone who distributes Covered Software as * * permitted above, be liable to You for any direct, indirect, * * special, incidental, or consequential damages of any character * * including, without limitation, damages for lost profits, loss of * * goodwill, work stoppage, computer failure or malfunction, or any * * and all other commercial damages or losses, even if such party * * shall have been informed of the possibility of such damages. This * * limitation of liability shall not apply to liability for death or * * personal injury resulting from such party's negligence to the * * extent applicable law prohibits such limitation. Some * * jurisdictions do not allow the exclusion or limitation of * * incidental or consequential damages, so this exclusion and * * limitation may not apply to You. * * * ************************************************************************ 8. Litigation ------------- Any litigation relating to this License may be brought only in the courts of a jurisdiction where the defendant maintains its principal place of business and such litigation shall be governed by laws of that jurisdiction, without reference to its conflict-of-law provisions. Nothing in this Section shall prevent a party's ability to bring cross-claims or counter-claims. 9. Miscellaneous ---------------- This License represents the complete agreement concerning the subject matter hereof. If any provision of this License is held to be unenforceable, such provision shall be reformed only to the extent necessary to make it enforceable. Any law or regulation which provides that the language of a contract shall be construed against the drafter shall not be used to construe this License against a Contributor. 10. Versions of the License --------------------------- 10.1. New Versions Mozilla Foundation is the license steward. Except as provided in Section 10.3, no one other than the license steward has the right to modify or publish new versions of this License. Each version will be given a distinguishing version number. 10.2. Effect of New Versions You may distribute the Covered Software under the terms of the version of the License under which You originally received the Covered Software, or under the terms of any subsequent version published by the license steward. 10.3. Modified Versions If you create software not governed by this License, and you want to create a new license for such software, you may create and use a modified version of this License if you rename the license and remove any references to the name of the license steward (except to note that such modified license differs from this License). 10.4. Distributing Source Code Form that is Incompatible With Secondary Licenses If You choose to distribute Source Code Form that is Incompatible With Secondary Licenses under the terms of this version of the License, the notice described in Exhibit B of this License must be attached. Exhibit A - Source Code Form License Notice ------------------------------------------- This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at https://mozilla.org/MPL/2.0/. If it is not possible or desirable to put the notice in a particular file, then You may include the notice in a location (such as a LICENSE file in a relevant directory) where a recipient would be likely to look for such a notice. You may add additional accurate notices of copyright ownership. Exhibit B - "Incompatible With Secondary Licenses" Notice --------------------------------------------------------- This Source Code Form is "Incompatible With Secondary Licenses", as defined by the Mozilla Public License, v. 2.0. ===== eigen/COPYING.README ===== Eigen is primarily MPL2 licensed. See COPYING.MPL2 and these links: http://www.mozilla.org/MPL/2.0/ http://www.mozilla.org/MPL/2.0/FAQ.html Some files contain third-party code under BSD or other MPL2-compatible licenses, whence the other COPYING.* files here. ===== eigen/LICENSE ===== Mozilla Public License Version 2.0 ================================== 1. Definitions -------------- 1.1. "Contributor" means each individual or legal entity that creates, contributes to the creation of, or owns Covered Software. 1.2. "Contributor Version" means the combination of the Contributions of others (if any) used by a Contributor and that particular Contributor's Contribution. 1.3. "Contribution" means Covered Software of a particular Contributor. 1.4. "Covered Software" means Source Code Form to which the initial Contributor has attached the notice in Exhibit A, the Executable Form of such Source Code Form, and Modifications of such Source Code Form, in each case including portions thereof. 1.5. "Incompatible With Secondary Licenses" means (a) that the initial Contributor has attached the notice described in Exhibit B to the Covered Software; or (b) that the Covered Software was made available under the terms of version 1.1 or earlier of the License, but not also under the terms of a Secondary License. 1.6. "Executable Form" means any form of the work other than Source Code Form. 1.7. "Larger Work" means a work that combines Covered Software with other material, in a separate file or files, that is not Covered Software. 1.8. "License" means this document. 1.9. "Licensable" means having the right to grant, to the maximum extent possible, whether at the time of the initial grant or subsequently, any and all of the rights conveyed by this License. 1.10. "Modifications" means any of the following: (a) any file in Source Code Form that results from an addition to, deletion from, or modification of the contents of Covered Software; or (b) any new file in Source Code Form that contains any Covered Software. 1.11. "Patent Claims" of a Contributor means any patent claim(s), including without limitation, method, process, and apparatus claims, in any patent Licensable by such Contributor that would be infringed, but for the grant of the License, by the making, using, selling, offering for sale, having made, import, or transfer of either its Contributions or its Contributor Version. 1.12. "Secondary License" means either the GNU General Public License, Version 2.0, the GNU Lesser General Public License, Version 2.1, the GNU Affero General Public License, Version 3.0, or any later versions of those licenses. 1.13. "Source Code Form" means the form of the work preferred for making modifications. 1.14. "You" (or "Your") means an individual or a legal entity exercising rights under this License. For legal entities, "You" includes any entity that controls, is controlled by, or is under common control with You. For purposes of this definition, "control" means (a) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (b) ownership of more than fifty percent (50%) of the outstanding shares or beneficial ownership of such entity. 2. License Grants and Conditions -------------------------------- 2.1. Grants Each Contributor hereby grants You a world-wide, royalty-free, non-exclusive license: (a) under intellectual property rights (other than patent or trademark) Licensable by such Contributor to use, reproduce, make available, modify, display, perform, distribute, and otherwise exploit its Contributions, either on an unmodified basis, with Modifications, or as part of a Larger Work; and (b) under Patent Claims of such Contributor to make, use, sell, offer for sale, have made, import, and otherwise transfer either its Contributions or its Contributor Version. 2.2. Effective Date The licenses granted in Section 2.1 with respect to any Contribution become effective for each Contribution on the date the Contributor first distributes such Contribution. 2.3. Limitations on Grant Scope The licenses granted in this Section 2 are the only rights granted under this License. No additional rights or licenses will be implied from the distribution or licensing of Covered Software under this License. Notwithstanding Section 2.1(b) above, no patent license is granted by a Contributor: (a) for any code that a Contributor has removed from Covered Software; or (b) for infringements caused by: (i) Your and any other third party's modifications of Covered Software, or (ii) the combination of its Contributions with other software (except as part of its Contributor Version); or (c) under Patent Claims infringed by Covered Software in the absence of its Contributions. This License does not grant any rights in the trademarks, service marks, or logos of any Contributor (except as may be necessary to comply with the notice requirements in Section 3.4). 2.4. Subsequent Licenses No Contributor makes additional grants as a result of Your choice to distribute the Covered Software under a subsequent version of this License (see Section 10.2) or under the terms of a Secondary License (if permitted under the terms of Section 3.3). 2.5. Representation Each Contributor represents that the Contributor believes its Contributions are its original creation(s) or it has sufficient rights to grant the rights to its Contributions conveyed by this License. 2.6. Fair Use This License is not intended to limit any rights You have under applicable copyright doctrines of fair use, fair dealing, or other equivalents. 2.7. Conditions Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted in Section 2.1. 3. Responsibilities ------------------- 3.1. Distribution of Source Form All distribution of Covered Software in Source Code Form, including any Modifications that You create or to which You contribute, must be under the terms of this License. You must inform recipients that the Source Code Form of the Covered Software is governed by the terms of this License, and how they can obtain a copy of this License. You may not attempt to alter or restrict the recipients' rights in the Source Code Form. 3.2. Distribution of Executable Form If You distribute Covered Software in Executable Form then: (a) such Covered Software must also be made available in Source Code Form, as described in Section 3.1, and You must inform recipients of the Executable Form how they can obtain a copy of such Source Code Form by reasonable means in a timely manner, at a charge no more than the cost of distribution to the recipient; and (b) You may distribute such Executable Form under the terms of this License, or sublicense it under different terms, provided that the license for the Executable Form does not attempt to limit or alter the recipients' rights in the Source Code Form under this License. 3.3. Distribution of a Larger Work You may create and distribute a Larger Work under terms of Your choice, provided that You also comply with the requirements of this License for the Covered Software. If the Larger Work is a combination of Covered Software with a work governed by one or more Secondary Licenses, and the Covered Software is not Incompatible With Secondary Licenses, this License permits You to additionally distribute such Covered Software under the terms of such Secondary License(s), so that the recipient of the Larger Work may, at their option, further distribute the Covered Software under the terms of either this License or such Secondary License(s). 3.4. Notices You may not remove or alter the substance of any license notices (including copyright notices, patent notices, disclaimers of warranty, or limitations of liability) contained within the Source Code Form of the Covered Software, except that You may alter any license notices to the extent required to remedy known factual inaccuracies. 3.5. Application of Additional Terms You may choose to offer, and to charge a fee for, warranty, support, indemnity or liability obligations to one or more recipients of Covered Software. However, You may do so only on Your own behalf, and not on behalf of any Contributor. You must make it absolutely clear that any such warranty, support, indemnity, or liability obligation is offered by You alone, and You hereby agree to indemnify every Contributor for any liability incurred by such Contributor as a result of warranty, support, indemnity or liability terms You offer. You may include additional disclaimers of warranty and limitations of liability specific to any jurisdiction. 4. Inability to Comply Due to Statute or Regulation --------------------------------------------------- If it is impossible for You to comply with any of the terms of this License with respect to some or all of the Covered Software due to statute, judicial order, or regulation then You must: (a) comply with the terms of this License to the maximum extent possible; and (b) describe the limitations and the code they affect. Such description must be placed in a text file included with all distributions of the Covered Software under this License. Except to the extent prohibited by statute or regulation, such description must be sufficiently detailed for a recipient of ordinary skill to be able to understand it. 5. Termination -------------- 5.1. The rights granted under this License will terminate automatically if You fail to comply with any of its terms. However, if You become compliant, then the rights granted under this License from a particular Contributor are reinstated (a) provisionally, unless and until such Contributor explicitly and finally terminates Your grants, and (b) on an ongoing basis, if such Contributor fails to notify You of the non-compliance by some reasonable means prior to 60 days after You have come back into compliance. Moreover, Your grants from a particular Contributor are reinstated on an ongoing basis if such Contributor notifies You of the non-compliance by some reasonable means, this is the first time You have received notice of non-compliance with this License from such Contributor, and You become compliant prior to 30 days after Your receipt of the notice. 5.2. If You initiate litigation against any entity by asserting a patent infringement claim (excluding declaratory judgment actions, counter-claims, and cross-claims) alleging that a Contributor Version directly or indirectly infringes any patent, then the rights granted to You by any and all Contributors for the Covered Software under Section 2.1 of this License shall terminate. 5.3. In the event of termination under Sections 5.1 or 5.2 above, all end user license agreements (excluding distributors and resellers) which have been validly granted by You or Your distributors under this License prior to termination shall survive termination. ************************************************************************ * * * 6. Disclaimer of Warranty * * ------------------------- * * * * Covered Software is provided under this License on an "as is" * * basis, without warranty of any kind, either expressed, implied, or * * statutory, including, without limitation, warranties that the * * Covered Software is free of defects, merchantable, fit for a * * particular purpose or non-infringing. The entire risk as to the * * quality and performance of the Covered Software is with You. * * Should any Covered Software prove defective in any respect, You * * (not any Contributor) assume the cost of any necessary servicing, * * repair, or correction. This disclaimer of warranty constitutes an * * essential part of this License. No use of any Covered Software is * * authorized under this License except under this disclaimer. * * * ************************************************************************ ************************************************************************ * * * 7. Limitation of Liability * * -------------------------- * * * * Under no circumstances and under no legal theory, whether tort * * (including negligence), contract, or otherwise, shall any * * Contributor, or anyone who distributes Covered Software as * * permitted above, be liable to You for any direct, indirect, * * special, incidental, or consequential damages of any character * * including, without limitation, damages for lost profits, loss of * * goodwill, work stoppage, computer failure or malfunction, or any * * and all other commercial damages or losses, even if such party * * shall have been informed of the possibility of such damages. This * * limitation of liability shall not apply to liability for death or * * personal injury resulting from such party's negligence to the * * extent applicable law prohibits such limitation. Some * * jurisdictions do not allow the exclusion or limitation of * * incidental or consequential damages, so this exclusion and * * limitation may not apply to You. * * * ************************************************************************ 8. Litigation ------------- Any litigation relating to this License may be brought only in the courts of a jurisdiction where the defendant maintains its principal place of business and such litigation shall be governed by laws of that jurisdiction, without reference to its conflict-of-law provisions. Nothing in this Section shall prevent a party's ability to bring cross-claims or counter-claims. 9. Miscellaneous ---------------- This License represents the complete agreement concerning the subject matter hereof. If any provision of this License is held to be unenforceable, such provision shall be reformed only to the extent necessary to make it enforceable. Any law or regulation which provides that the language of a contract shall be construed against the drafter shall not be used to construe this License against a Contributor. 10. Versions of the License --------------------------- 10.1. New Versions Mozilla Foundation is the license steward. Except as provided in Section 10.3, no one other than the license steward has the right to modify or publish new versions of this License. Each version will be given a distinguishing version number. 10.2. Effect of New Versions You may distribute the Covered Software under the terms of the version of the License under which You originally received the Covered Software, or under the terms of any subsequent version published by the license steward. 10.3. Modified Versions If you create software not governed by this License, and you want to create a new license for such software, you may create and use a modified version of this License if you rename the license and remove any references to the name of the license steward (except to note that such modified license differs from this License). 10.4. Distributing Source Code Form that is Incompatible With Secondary Licenses If You choose to distribute Source Code Form that is Incompatible With Secondary Licenses under the terms of this version of the License, the notice described in Exhibit B of this License must be attached. Exhibit A - Source Code Form License Notice ------------------------------------------- This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at http://mozilla.org/MPL/2.0/. If it is not possible or desirable to put the notice in a particular file, then You may include the notice in a location (such as a LICENSE file in a relevant directory) where a recipient would be likely to look for such a notice. You may add additional accurate notices of copyright ownership. Exhibit B - "Incompatible With Secondary Licenses" Notice --------------------------------------------------------- This Source Code Form is "Incompatible With Secondary Licenses", as defined by the Mozilla Public License, v. 2.0. ===== eigen/bench/btl/COPYING ===== GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Library General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the software, or if you modify it. For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must show them these terms so they know their rights. We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you legal permission to copy, distribute and/or modify the software. Also, for each author's protection and ours, we want to make certain that everyone understands that there is no warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.) These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it. Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you; rather, the intent is to exercise the right to control the distribution of derivative or collective works based on the Program. In addition, mere aggregation of another work not based on the Program with the Program (or with a work based on the Program) on a volume of a storage or distribution medium does not bring the other work under the scope of this License. 3. You may copy and distribute the Program (or a work based on it, under Section 2) in object code or executable form under the terms of Sections 1 and 2 above provided that you also do one of the following: a) Accompany it with the complete corresponding machine-readable source code, which must be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, b) Accompany it with a written offer, valid for at least three years, to give any third party, for a charge no more than your cost of physically performing source distribution, a complete machine-readable copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, c) Accompany it with the information you received as to the offer to distribute corresponding source code. (This alternative is allowed only for noncommercial distribution and only if you received the program in object code or executable form with such an offer, in accord with Subsection b above.) The source code for a work means the preferred form of the work for making modifications to it. For an executable work, complete source code means all the source code for all modules it contains, plus any associated interface definition files, plus the scripts used to control compilation and installation of the executable. However, as a special exception, the source code distributed need not include anything that is normally distributed (in either source or binary form) with the major components (compiler, kernel, and so on) of the operating system on which the executable runs, unless that component itself accompanies the executable. If distribution of executable or object code is made by offering access to copy from a designated place, then offering equivalent access to copy the source code from the same place counts as distribution of the source code, even though third parties are not compelled to copy the source along with the object code. 4. You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance. 5. You are not required to accept this License, since you have not signed it. However, nothing else grants you permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if you do not accept this License. Therefore, by modifying or distributing the Program (or any work based on the Program), you indicate your acceptance of this License to do so, and all its terms and conditions for copying, distributing or modifying the Program or works based on it. 6. Each time you redistribute the Program (or any work based on the Program), the recipient automatically receives a license from the original licensor to copy, distribute or modify the Program subject to these terms and conditions. You may not impose any further restrictions on the recipients' exercise of the rights granted herein. You are not responsible for enforcing compliance by third parties to this License. 7. If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise) that contradict the conditions of this License, they do not excuse you from the conditions of this License. If you cannot distribute so as to satisfy simultaneously your obligations under this License and any other pertinent obligations, then as a consequence you may not distribute the Program at all. For example, if a patent license would not permit royalty-free redistribution of the Program by all those who receive copies directly or indirectly through you, then the only way you could satisfy both it and this License would be to refrain entirely from distribution of the Program. If any portion of this section is held invalid or unenforceable under any particular circumstance, the balance of the section is intended to apply and the section as a whole is intended to apply in other circumstances. It is not the purpose of this section to induce you to infringe any patents or other property right claims or to contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free software distribution system, which is implemented by public license practices. Many people have made generous contributions to the wide range of software distributed through that system in reliance on consistent application of that system; it is up to the author/donor to decide if he or she is willing to distribute software through any other system and a licensee cannot impose that choice. This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License. 8. If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 9. The Free Software Foundation may publish revised and/or new versions of the General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS How to Apply These Terms to Your New Programs If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms. To do so, attach the following notices to the program. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License. ===== eigen_archive/COPYING.APACHE ===== /* Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. */ ===== eigen_archive/COPYING.BSD ===== /* Copyright (c) 2011, Intel Corporation. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Intel Corporation nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ ===== eigen_archive/COPYING.MINPACK ===== Minpack Copyright Notice (1999) University of Chicago. All rights reserved Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. The end-user documentation included with the redistribution, if any, must include the following acknowledgment: "This product includes software developed by the University of Chicago, as Operator of Argonne National Laboratory. Alternately, this acknowledgment may appear in the software itself, if and wherever such third-party acknowledgments normally appear. 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS" WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4) DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL BE CORRECTED. 5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT, INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE, EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE POSSIBILITY OF SUCH LOSS OR DAMAGES. ===== eigen_archive/COPYING.MPL2 ===== Mozilla Public License Version 2.0 ================================== 1. Definitions -------------- 1.1. "Contributor" means each individual or legal entity that creates, contributes to the creation of, or owns Covered Software. 1.2. "Contributor Version" means the combination of the Contributions of others (if any) used by a Contributor and that particular Contributor's Contribution. 1.3. "Contribution" means Covered Software of a particular Contributor. 1.4. "Covered Software" means Source Code Form to which the initial Contributor has attached the notice in Exhibit A, the Executable Form of such Source Code Form, and Modifications of such Source Code Form, in each case including portions thereof. 1.5. "Incompatible With Secondary Licenses" means (a) that the initial Contributor has attached the notice described in Exhibit B to the Covered Software; or (b) that the Covered Software was made available under the terms of version 1.1 or earlier of the License, but not also under the terms of a Secondary License. 1.6. "Executable Form" means any form of the work other than Source Code Form. 1.7. "Larger Work" means a work that combines Covered Software with other material, in a separate file or files, that is not Covered Software. 1.8. "License" means this document. 1.9. "Licensable" means having the right to grant, to the maximum extent possible, whether at the time of the initial grant or subsequently, any and all of the rights conveyed by this License. 1.10. "Modifications" means any of the following: (a) any file in Source Code Form that results from an addition to, deletion from, or modification of the contents of Covered Software; or (b) any new file in Source Code Form that contains any Covered Software. 1.11. "Patent Claims" of a Contributor means any patent claim(s), including without limitation, method, process, and apparatus claims, in any patent Licensable by such Contributor that would be infringed, but for the grant of the License, by the making, using, selling, offering for sale, having made, import, or transfer of either its Contributions or its Contributor Version. 1.12. "Secondary License" means either the GNU General Public License, Version 2.0, the GNU Lesser General Public License, Version 2.1, the GNU Affero General Public License, Version 3.0, or any later versions of those licenses. 1.13. "Source Code Form" means the form of the work preferred for making modifications. 1.14. "You" (or "Your") means an individual or a legal entity exercising rights under this License. For legal entities, "You" includes any entity that controls, is controlled by, or is under common control with You. For purposes of this definition, "control" means (a) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (b) ownership of more than fifty percent (50%) of the outstanding shares or beneficial ownership of such entity. 2. License Grants and Conditions -------------------------------- 2.1. Grants Each Contributor hereby grants You a world-wide, royalty-free, non-exclusive license: (a) under intellectual property rights (other than patent or trademark) Licensable by such Contributor to use, reproduce, make available, modify, display, perform, distribute, and otherwise exploit its Contributions, either on an unmodified basis, with Modifications, or as part of a Larger Work; and (b) under Patent Claims of such Contributor to make, use, sell, offer for sale, have made, import, and otherwise transfer either its Contributions or its Contributor Version. 2.2. Effective Date The licenses granted in Section 2.1 with respect to any Contribution become effective for each Contribution on the date the Contributor first distributes such Contribution. 2.3. Limitations on Grant Scope The licenses granted in this Section 2 are the only rights granted under this License. No additional rights or licenses will be implied from the distribution or licensing of Covered Software under this License. Notwithstanding Section 2.1(b) above, no patent license is granted by a Contributor: (a) for any code that a Contributor has removed from Covered Software; or (b) for infringements caused by: (i) Your and any other third party's modifications of Covered Software, or (ii) the combination of its Contributions with other software (except as part of its Contributor Version); or (c) under Patent Claims infringed by Covered Software in the absence of its Contributions. This License does not grant any rights in the trademarks, service marks, or logos of any Contributor (except as may be necessary to comply with the notice requirements in Section 3.4). 2.4. Subsequent Licenses No Contributor makes additional grants as a result of Your choice to distribute the Covered Software under a subsequent version of this License (see Section 10.2) or under the terms of a Secondary License (if permitted under the terms of Section 3.3). 2.5. Representation Each Contributor represents that the Contributor believes its Contributions are its original creation(s) or it has sufficient rights to grant the rights to its Contributions conveyed by this License. 2.6. Fair Use This License is not intended to limit any rights You have under applicable copyright doctrines of fair use, fair dealing, or other equivalents. 2.7. Conditions Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted in Section 2.1. 3. Responsibilities ------------------- 3.1. Distribution of Source Form All distribution of Covered Software in Source Code Form, including any Modifications that You create or to which You contribute, must be under the terms of this License. You must inform recipients that the Source Code Form of the Covered Software is governed by the terms of this License, and how they can obtain a copy of this License. You may not attempt to alter or restrict the recipients' rights in the Source Code Form. 3.2. Distribution of Executable Form If You distribute Covered Software in Executable Form then: (a) such Covered Software must also be made available in Source Code Form, as described in Section 3.1, and You must inform recipients of the Executable Form how they can obtain a copy of such Source Code Form by reasonable means in a timely manner, at a charge no more than the cost of distribution to the recipient; and (b) You may distribute such Executable Form under the terms of this License, or sublicense it under different terms, provided that the license for the Executable Form does not attempt to limit or alter the recipients' rights in the Source Code Form under this License. 3.3. Distribution of a Larger Work You may create and distribute a Larger Work under terms of Your choice, provided that You also comply with the requirements of this License for the Covered Software. If the Larger Work is a combination of Covered Software with a work governed by one or more Secondary Licenses, and the Covered Software is not Incompatible With Secondary Licenses, this License permits You to additionally distribute such Covered Software under the terms of such Secondary License(s), so that the recipient of the Larger Work may, at their option, further distribute the Covered Software under the terms of either this License or such Secondary License(s). 3.4. Notices You may not remove or alter the substance of any license notices (including copyright notices, patent notices, disclaimers of warranty, or limitations of liability) contained within the Source Code Form of the Covered Software, except that You may alter any license notices to the extent required to remedy known factual inaccuracies. 3.5. Application of Additional Terms You may choose to offer, and to charge a fee for, warranty, support, indemnity or liability obligations to one or more recipients of Covered Software. However, You may do so only on Your own behalf, and not on behalf of any Contributor. You must make it absolutely clear that any such warranty, support, indemnity, or liability obligation is offered by You alone, and You hereby agree to indemnify every Contributor for any liability incurred by such Contributor as a result of warranty, support, indemnity or liability terms You offer. You may include additional disclaimers of warranty and limitations of liability specific to any jurisdiction. 4. Inability to Comply Due to Statute or Regulation --------------------------------------------------- If it is impossible for You to comply with any of the terms of this License with respect to some or all of the Covered Software due to statute, judicial order, or regulation then You must: (a) comply with the terms of this License to the maximum extent possible; and (b) describe the limitations and the code they affect. Such description must be placed in a text file included with all distributions of the Covered Software under this License. Except to the extent prohibited by statute or regulation, such description must be sufficiently detailed for a recipient of ordinary skill to be able to understand it. 5. Termination -------------- 5.1. The rights granted under this License will terminate automatically if You fail to comply with any of its terms. However, if You become compliant, then the rights granted under this License from a particular Contributor are reinstated (a) provisionally, unless and until such Contributor explicitly and finally terminates Your grants, and (b) on an ongoing basis, if such Contributor fails to notify You of the non-compliance by some reasonable means prior to 60 days after You have come back into compliance. Moreover, Your grants from a particular Contributor are reinstated on an ongoing basis if such Contributor notifies You of the non-compliance by some reasonable means, this is the first time You have received notice of non-compliance with this License from such Contributor, and You become compliant prior to 30 days after Your receipt of the notice. 5.2. If You initiate litigation against any entity by asserting a patent infringement claim (excluding declaratory judgment actions, counter-claims, and cross-claims) alleging that a Contributor Version directly or indirectly infringes any patent, then the rights granted to You by any and all Contributors for the Covered Software under Section 2.1 of this License shall terminate. 5.3. In the event of termination under Sections 5.1 or 5.2 above, all end user license agreements (excluding distributors and resellers) which have been validly granted by You or Your distributors under this License prior to termination shall survive termination. ************************************************************************ * * * 6. Disclaimer of Warranty * * ------------------------- * * * * Covered Software is provided under this License on an "as is" * * basis, without warranty of any kind, either expressed, implied, or * * statutory, including, without limitation, warranties that the * * Covered Software is free of defects, merchantable, fit for a * * particular purpose or non-infringing. The entire risk as to the * * quality and performance of the Covered Software is with You. * * Should any Covered Software prove defective in any respect, You * * (not any Contributor) assume the cost of any necessary servicing, * * repair, or correction. This disclaimer of warranty constitutes an * * essential part of this License. No use of any Covered Software is * * authorized under this License except under this disclaimer. * * * ************************************************************************ ************************************************************************ * * * 7. Limitation of Liability * * -------------------------- * * * * Under no circumstances and under no legal theory, whether tort * * (including negligence), contract, or otherwise, shall any * * Contributor, or anyone who distributes Covered Software as * * permitted above, be liable to You for any direct, indirect, * * special, incidental, or consequential damages of any character * * including, without limitation, damages for lost profits, loss of * * goodwill, work stoppage, computer failure or malfunction, or any * * and all other commercial damages or losses, even if such party * * shall have been informed of the possibility of such damages. This * * limitation of liability shall not apply to liability for death or * * personal injury resulting from such party's negligence to the * * extent applicable law prohibits such limitation. Some * * jurisdictions do not allow the exclusion or limitation of * * incidental or consequential damages, so this exclusion and * * limitation may not apply to You. * * * ************************************************************************ 8. Litigation ------------- Any litigation relating to this License may be brought only in the courts of a jurisdiction where the defendant maintains its principal place of business and such litigation shall be governed by laws of that jurisdiction, without reference to its conflict-of-law provisions. Nothing in this Section shall prevent a party's ability to bring cross-claims or counter-claims. 9. Miscellaneous ---------------- This License represents the complete agreement concerning the subject matter hereof. If any provision of this License is held to be unenforceable, such provision shall be reformed only to the extent necessary to make it enforceable. Any law or regulation which provides that the language of a contract shall be construed against the drafter shall not be used to construe this License against a Contributor. 10. Versions of the License --------------------------- 10.1. New Versions Mozilla Foundation is the license steward. Except as provided in Section 10.3, no one other than the license steward has the right to modify or publish new versions of this License. Each version will be given a distinguishing version number. 10.2. Effect of New Versions You may distribute the Covered Software under the terms of the version of the License under which You originally received the Covered Software, or under the terms of any subsequent version published by the license steward. 10.3. Modified Versions If you create software not governed by this License, and you want to create a new license for such software, you may create and use a modified version of this License if you rename the license and remove any references to the name of the license steward (except to note that such modified license differs from this License). 10.4. Distributing Source Code Form that is Incompatible With Secondary Licenses If You choose to distribute Source Code Form that is Incompatible With Secondary Licenses under the terms of this version of the License, the notice described in Exhibit B of this License must be attached. Exhibit A - Source Code Form License Notice ------------------------------------------- This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at https://mozilla.org/MPL/2.0/. If it is not possible or desirable to put the notice in a particular file, then You may include the notice in a location (such as a LICENSE file in a relevant directory) where a recipient would be likely to look for such a notice. You may add additional accurate notices of copyright ownership. Exhibit B - "Incompatible With Secondary Licenses" Notice --------------------------------------------------------- This Source Code Form is "Incompatible With Secondary Licenses", as defined by the Mozilla Public License, v. 2.0. ===== eigen_archive/COPYING.README ===== Eigen is primarily MPL2 licensed. See COPYING.MPL2 and these links: http://www.mozilla.org/MPL/2.0/ http://www.mozilla.org/MPL/2.0/FAQ.html Some files contain third-party code under BSD or other MPL2-compatible licenses, whence the other COPYING.* files here. ===== eigen_archive/LICENSE ===== Mozilla Public License Version 2.0 ================================== 1. Definitions -------------- 1.1. "Contributor" means each individual or legal entity that creates, contributes to the creation of, or owns Covered Software. 1.2. "Contributor Version" means the combination of the Contributions of others (if any) used by a Contributor and that particular Contributor's Contribution. 1.3. "Contribution" means Covered Software of a particular Contributor. 1.4. "Covered Software" means Source Code Form to which the initial Contributor has attached the notice in Exhibit A, the Executable Form of such Source Code Form, and Modifications of such Source Code Form, in each case including portions thereof. 1.5. "Incompatible With Secondary Licenses" means (a) that the initial Contributor has attached the notice described in Exhibit B to the Covered Software; or (b) that the Covered Software was made available under the terms of version 1.1 or earlier of the License, but not also under the terms of a Secondary License. 1.6. "Executable Form" means any form of the work other than Source Code Form. 1.7. "Larger Work" means a work that combines Covered Software with other material, in a separate file or files, that is not Covered Software. 1.8. "License" means this document. 1.9. "Licensable" means having the right to grant, to the maximum extent possible, whether at the time of the initial grant or subsequently, any and all of the rights conveyed by this License. 1.10. "Modifications" means any of the following: (a) any file in Source Code Form that results from an addition to, deletion from, or modification of the contents of Covered Software; or (b) any new file in Source Code Form that contains any Covered Software. 1.11. "Patent Claims" of a Contributor means any patent claim(s), including without limitation, method, process, and apparatus claims, in any patent Licensable by such Contributor that would be infringed, but for the grant of the License, by the making, using, selling, offering for sale, having made, import, or transfer of either its Contributions or its Contributor Version. 1.12. "Secondary License" means either the GNU General Public License, Version 2.0, the GNU Lesser General Public License, Version 2.1, the GNU Affero General Public License, Version 3.0, or any later versions of those licenses. 1.13. "Source Code Form" means the form of the work preferred for making modifications. 1.14. "You" (or "Your") means an individual or a legal entity exercising rights under this License. For legal entities, "You" includes any entity that controls, is controlled by, or is under common control with You. For purposes of this definition, "control" means (a) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (b) ownership of more than fifty percent (50%) of the outstanding shares or beneficial ownership of such entity. 2. License Grants and Conditions -------------------------------- 2.1. Grants Each Contributor hereby grants You a world-wide, royalty-free, non-exclusive license: (a) under intellectual property rights (other than patent or trademark) Licensable by such Contributor to use, reproduce, make available, modify, display, perform, distribute, and otherwise exploit its Contributions, either on an unmodified basis, with Modifications, or as part of a Larger Work; and (b) under Patent Claims of such Contributor to make, use, sell, offer for sale, have made, import, and otherwise transfer either its Contributions or its Contributor Version. 2.2. Effective Date The licenses granted in Section 2.1 with respect to any Contribution become effective for each Contribution on the date the Contributor first distributes such Contribution. 2.3. Limitations on Grant Scope The licenses granted in this Section 2 are the only rights granted under this License. No additional rights or licenses will be implied from the distribution or licensing of Covered Software under this License. Notwithstanding Section 2.1(b) above, no patent license is granted by a Contributor: (a) for any code that a Contributor has removed from Covered Software; or (b) for infringements caused by: (i) Your and any other third party's modifications of Covered Software, or (ii) the combination of its Contributions with other software (except as part of its Contributor Version); or (c) under Patent Claims infringed by Covered Software in the absence of its Contributions. This License does not grant any rights in the trademarks, service marks, or logos of any Contributor (except as may be necessary to comply with the notice requirements in Section 3.4). 2.4. Subsequent Licenses No Contributor makes additional grants as a result of Your choice to distribute the Covered Software under a subsequent version of this License (see Section 10.2) or under the terms of a Secondary License (if permitted under the terms of Section 3.3). 2.5. Representation Each Contributor represents that the Contributor believes its Contributions are its original creation(s) or it has sufficient rights to grant the rights to its Contributions conveyed by this License. 2.6. Fair Use This License is not intended to limit any rights You have under applicable copyright doctrines of fair use, fair dealing, or other equivalents. 2.7. Conditions Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted in Section 2.1. 3. Responsibilities ------------------- 3.1. Distribution of Source Form All distribution of Covered Software in Source Code Form, including any Modifications that You create or to which You contribute, must be under the terms of this License. You must inform recipients that the Source Code Form of the Covered Software is governed by the terms of this License, and how they can obtain a copy of this License. You may not attempt to alter or restrict the recipients' rights in the Source Code Form. 3.2. Distribution of Executable Form If You distribute Covered Software in Executable Form then: (a) such Covered Software must also be made available in Source Code Form, as described in Section 3.1, and You must inform recipients of the Executable Form how they can obtain a copy of such Source Code Form by reasonable means in a timely manner, at a charge no more than the cost of distribution to the recipient; and (b) You may distribute such Executable Form under the terms of this License, or sublicense it under different terms, provided that the license for the Executable Form does not attempt to limit or alter the recipients' rights in the Source Code Form under this License. 3.3. Distribution of a Larger Work You may create and distribute a Larger Work under terms of Your choice, provided that You also comply with the requirements of this License for the Covered Software. If the Larger Work is a combination of Covered Software with a work governed by one or more Secondary Licenses, and the Covered Software is not Incompatible With Secondary Licenses, this License permits You to additionally distribute such Covered Software under the terms of such Secondary License(s), so that the recipient of the Larger Work may, at their option, further distribute the Covered Software under the terms of either this License or such Secondary License(s). 3.4. Notices You may not remove or alter the substance of any license notices (including copyright notices, patent notices, disclaimers of warranty, or limitations of liability) contained within the Source Code Form of the Covered Software, except that You may alter any license notices to the extent required to remedy known factual inaccuracies. 3.5. Application of Additional Terms You may choose to offer, and to charge a fee for, warranty, support, indemnity or liability obligations to one or more recipients of Covered Software. However, You may do so only on Your own behalf, and not on behalf of any Contributor. You must make it absolutely clear that any such warranty, support, indemnity, or liability obligation is offered by You alone, and You hereby agree to indemnify every Contributor for any liability incurred by such Contributor as a result of warranty, support, indemnity or liability terms You offer. You may include additional disclaimers of warranty and limitations of liability specific to any jurisdiction. 4. Inability to Comply Due to Statute or Regulation --------------------------------------------------- If it is impossible for You to comply with any of the terms of this License with respect to some or all of the Covered Software due to statute, judicial order, or regulation then You must: (a) comply with the terms of this License to the maximum extent possible; and (b) describe the limitations and the code they affect. Such description must be placed in a text file included with all distributions of the Covered Software under this License. Except to the extent prohibited by statute or regulation, such description must be sufficiently detailed for a recipient of ordinary skill to be able to understand it. 5. Termination -------------- 5.1. The rights granted under this License will terminate automatically if You fail to comply with any of its terms. However, if You become compliant, then the rights granted under this License from a particular Contributor are reinstated (a) provisionally, unless and until such Contributor explicitly and finally terminates Your grants, and (b) on an ongoing basis, if such Contributor fails to notify You of the non-compliance by some reasonable means prior to 60 days after You have come back into compliance. Moreover, Your grants from a particular Contributor are reinstated on an ongoing basis if such Contributor notifies You of the non-compliance by some reasonable means, this is the first time You have received notice of non-compliance with this License from such Contributor, and You become compliant prior to 30 days after Your receipt of the notice. 5.2. If You initiate litigation against any entity by asserting a patent infringement claim (excluding declaratory judgment actions, counter-claims, and cross-claims) alleging that a Contributor Version directly or indirectly infringes any patent, then the rights granted to You by any and all Contributors for the Covered Software under Section 2.1 of this License shall terminate. 5.3. In the event of termination under Sections 5.1 or 5.2 above, all end user license agreements (excluding distributors and resellers) which have been validly granted by You or Your distributors under this License prior to termination shall survive termination. ************************************************************************ * * * 6. Disclaimer of Warranty * * ------------------------- * * * * Covered Software is provided under this License on an "as is" * * basis, without warranty of any kind, either expressed, implied, or * * statutory, including, without limitation, warranties that the * * Covered Software is free of defects, merchantable, fit for a * * particular purpose or non-infringing. The entire risk as to the * * quality and performance of the Covered Software is with You. * * Should any Covered Software prove defective in any respect, You * * (not any Contributor) assume the cost of any necessary servicing, * * repair, or correction. This disclaimer of warranty constitutes an * * essential part of this License. No use of any Covered Software is * * authorized under this License except under this disclaimer. * * * ************************************************************************ ************************************************************************ * * * 7. Limitation of Liability * * -------------------------- * * * * Under no circumstances and under no legal theory, whether tort * * (including negligence), contract, or otherwise, shall any * * Contributor, or anyone who distributes Covered Software as * * permitted above, be liable to You for any direct, indirect, * * special, incidental, or consequential damages of any character * * including, without limitation, damages for lost profits, loss of * * goodwill, work stoppage, computer failure or malfunction, or any * * and all other commercial damages or losses, even if such party * * shall have been informed of the possibility of such damages. This * * limitation of liability shall not apply to liability for death or * * personal injury resulting from such party's negligence to the * * extent applicable law prohibits such limitation. Some * * jurisdictions do not allow the exclusion or limitation of * * incidental or consequential damages, so this exclusion and * * limitation may not apply to You. * * * ************************************************************************ 8. Litigation ------------- Any litigation relating to this License may be brought only in the courts of a jurisdiction where the defendant maintains its principal place of business and such litigation shall be governed by laws of that jurisdiction, without reference to its conflict-of-law provisions. Nothing in this Section shall prevent a party's ability to bring cross-claims or counter-claims. 9. Miscellaneous ---------------- This License represents the complete agreement concerning the subject matter hereof. If any provision of this License is held to be unenforceable, such provision shall be reformed only to the extent necessary to make it enforceable. Any law or regulation which provides that the language of a contract shall be construed against the drafter shall not be used to construe this License against a Contributor. 10. Versions of the License --------------------------- 10.1. New Versions Mozilla Foundation is the license steward. Except as provided in Section 10.3, no one other than the license steward has the right to modify or publish new versions of this License. Each version will be given a distinguishing version number. 10.2. Effect of New Versions You may distribute the Covered Software under the terms of the version of the License under which You originally received the Covered Software, or under the terms of any subsequent version published by the license steward. 10.3. Modified Versions If you create software not governed by this License, and you want to create a new license for such software, you may create and use a modified version of this License if you rename the license and remove any references to the name of the license steward (except to note that such modified license differs from this License). 10.4. Distributing Source Code Form that is Incompatible With Secondary Licenses If You choose to distribute Source Code Form that is Incompatible With Secondary Licenses under the terms of this version of the License, the notice described in Exhibit B of this License must be attached. Exhibit A - Source Code Form License Notice ------------------------------------------- This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at http://mozilla.org/MPL/2.0/. If it is not possible or desirable to put the notice in a particular file, then You may include the notice in a location (such as a LICENSE file in a relevant directory) where a recipient would be likely to look for such a notice. You may add additional accurate notices of copyright ownership. Exhibit B - "Incompatible With Secondary Licenses" Notice --------------------------------------------------------- This Source Code Form is "Incompatible With Secondary Licenses", as defined by the Mozilla Public License, v. 2.0. ===== eigen_archive/bench/btl/COPYING ===== GNU GENERAL PUBLIC LICENSE Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Library General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the software, or if you modify it. For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must show them these terms so they know their rights. We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you legal permission to copy, distribute and/or modify the software. Also, for each author's protection and ours, we want to make certain that everyone understands that there is no warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. GNU GENERAL PUBLIC LICENSE TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.) These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it. Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you; rather, the intent is to exercise the right to control the distribution of derivative or collective works based on the Program. In addition, mere aggregation of another work not based on the Program with the Program (or with a work based on the Program) on a volume of a storage or distribution medium does not bring the other work under the scope of this License. 3. You may copy and distribute the Program (or a work based on it, under Section 2) in object code or executable form under the terms of Sections 1 and 2 above provided that you also do one of the following: a) Accompany it with the complete corresponding machine-readable source code, which must be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, b) Accompany it with a written offer, valid for at least three years, to give any third party, for a charge no more than your cost of physically performing source distribution, a complete machine-readable copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, c) Accompany it with the information you received as to the offer to distribute corresponding source code. (This alternative is allowed only for noncommercial distribution and only if you received the program in object code or executable form with such an offer, in accord with Subsection b above.) The source code for a work means the preferred form of the work for making modifications to it. For an executable work, complete source code means all the source code for all modules it contains, plus any associated interface definition files, plus the scripts used to control compilation and installation of the executable. However, as a special exception, the source code distributed need not include anything that is normally distributed (in either source or binary form) with the major components (compiler, kernel, and so on) of the operating system on which the executable runs, unless that component itself accompanies the executable. If distribution of executable or object code is made by offering access to copy from a designated place, then offering equivalent access to copy the source code from the same place counts as distribution of the source code, even though third parties are not compelled to copy the source along with the object code. 4. You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance. 5. You are not required to accept this License, since you have not signed it. However, nothing else grants you permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if you do not accept this License. Therefore, by modifying or distributing the Program (or any work based on the Program), you indicate your acceptance of this License to do so, and all its terms and conditions for copying, distributing or modifying the Program or works based on it. 6. Each time you redistribute the Program (or any work based on the Program), the recipient automatically receives a license from the original licensor to copy, distribute or modify the Program subject to these terms and conditions. You may not impose any further restrictions on the recipients' exercise of the rights granted herein. You are not responsible for enforcing compliance by third parties to this License. 7. If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise) that contradict the conditions of this License, they do not excuse you from the conditions of this License. If you cannot distribute so as to satisfy simultaneously your obligations under this License and any other pertinent obligations, then as a consequence you may not distribute the Program at all. For example, if a patent license would not permit royalty-free redistribution of the Program by all those who receive copies directly or indirectly through you, then the only way you could satisfy both it and this License would be to refrain entirely from distribution of the Program. If any portion of this section is held invalid or unenforceable under any particular circumstance, the balance of the section is intended to apply and the section as a whole is intended to apply in other circumstances. It is not the purpose of this section to induce you to infringe any patents or other property right claims or to contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free software distribution system, which is implemented by public license practices. Many people have made generous contributions to the wide range of software distributed through that system in reliance on consistent application of that system; it is up to the author/donor to decide if he or she is willing to distribute software through any other system and a licensee cannot impose that choice. This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License. 8. If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 9. The Free Software Foundation may publish revised and/or new versions of the General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS How to Apply These Terms to Your New Programs If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms. To do so, attach the following notices to the program. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. , 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License. ===== farmhash_archive/COPYING ===== // Copyright (c) 2014 Google, Inc. // // 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. ===== fft2d/readme.txt ===== General Purpose FFT (Fast Fourier/Cosine/Sine Transform) Package Description: A package to calculate Discrete Fourier/Cosine/Sine Transforms of 1-dimensional sequences of length 2^N. Files: fft4g.c : FFT Package in C - Fast Version I (radix 4,2) fft4g.f : FFT Package in Fortran - Fast Version I (radix 4,2) fft4g_h.c : FFT Package in C - Simple Version I (radix 4,2) fft8g.c : FFT Package in C - Fast Version II (radix 8,4,2) fft8g.f : FFT Package in Fortran - Fast Version II (radix 8,4,2) fft8g_h.c : FFT Package in C - Simple Version II (radix 8,4,2) fftsg.c : FFT Package in C - Fast Version III (Split-Radix) fftsg.f : FFT Package in Fortran - Fast Version III (Split-Radix) fftsg_h.c : FFT Package in C - Simple Version III (Split-Radix) readme.txt : Readme File sample1/ : Test Directory Makefile : for gcc, cc Makefile.f77: for Fortran testxg.c : Test Program for "fft*g.c" testxg.f : Test Program for "fft*g.f" testxg_h.c : Test Program for "fft*g_h.c" sample2/ : Benchmark Directory Makefile : for gcc, cc Makefile.pth: POSIX Thread version pi_fft.c : PI(= 3.1415926535897932384626...) Calculation Program for a Benchmark Test for "fft*g.c" Difference of the Files: C and Fortran versions are equal and the same routines are in each version. "fft4g*.*" are optimized for most machines. "fft8g*.*" are fast on the UltraSPARC. "fftsg*.*" are optimized for the machines that have the multi-level (L1,L2,etc) cache. The simple versions "fft*g_h.c" use no work area, but the fast versions "fft*g.*" use work areas. The fast versions "fft*g.*" have the same specification. Routines in the Package: cdft: Complex Discrete Fourier Transform rdft: Real Discrete Fourier Transform ddct: Discrete Cosine Transform ddst: Discrete Sine Transform dfct: Cosine Transform of RDFT (Real Symmetric DFT) dfst: Sine Transform of RDFT (Real Anti-symmetric DFT) Usage: Please refer to the comments in the "fft**.*" file which you want to use. Brief explanations are in the block comments of each package. The examples are also given in the test programs. Method: -------- cdft -------- fft4g*.*, fft8g*.*: A method of in-place, radix 2^M, Sande-Tukey (decimation in frequency). Index of the butterfly loop is in bit reverse order to keep continuous memory access. fftsg*.*: A method of in-place, Split-Radix, recursive fast algorithm. -------- rdft -------- A method with a following butterfly operation appended to "cdft". In forward transform : A[k] = sum_j=0^n-1 a[j]*W(n)^(j*k), 0<=k<=n/2, W(n) = exp(2*pi*i/n), this routine makes an array x[] : x[j] = a[2*j] + i*a[2*j+1], 0<=j ICU License - moved to LICENSE

The ICU license is now in plain text format, see LICENSE. Update links and software appropriately.

© 2016 and later: Unicode, Inc. and others. License & terms of use: http://www.unicode.org/copyright.html © 1995-2016 International Business Machines Corporation and others ===== icu/icu4j/main/shared/licenses/LICENSE ===== COPYRIGHT AND PERMISSION NOTICE (ICU 58 and later) Copyright © 1991-2020 Unicode, Inc. All rights reserved. Distributed under the Terms of Use in https://www.unicode.org/copyright.html. Permission is hereby granted, free of charge, to any person obtaining a copy of the Unicode data files and any associated documentation (the "Data Files") or Unicode software and any associated documentation (the "Software") to deal in the Data Files or Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Data Files or Software, and to permit persons to whom the Data Files or Software are furnished to do so, provided that either (a) this copyright and permission notice appear with all copies of the Data Files or Software, or (b) this copyright and permission notice appear in associated Documentation. THE DATA FILES AND SOFTWARE ARE 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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THE DATA FILES OR SOFTWARE. Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in these Data Files or Software without prior written authorization of the copyright holder. --------------------- Third-Party Software Licenses This section contains third-party software notices and/or additional terms for licensed third-party software components included within ICU libraries. 1. ICU License - ICU 1.8.1 to ICU 57.1 COPYRIGHT AND PERMISSION NOTICE Copyright (c) 1995-2016 International Business Machines Corporation and others All rights reserved. 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, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice(s) and this permission notice appear in all copies of the Software and that both the above copyright notice(s) and this permission notice appear in supporting documentation. 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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder. All trademarks and registered trademarks mentioned herein are the property of their respective owners. 2. Chinese/Japanese Word Break Dictionary Data (cjdict.txt) # The Google Chrome software developed by Google is licensed under # the BSD license. Other software included in this distribution is # provided under other licenses, as set forth below. # # The BSD License # http://opensource.org/licenses/bsd-license.php # Copyright (C) 2006-2008, Google Inc. # # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # # Redistributions of source code must retain the above copyright notice, # this list of conditions and the following disclaimer. # Redistributions in binary form must reproduce the above # copyright notice, this list of conditions and the following # disclaimer in the documentation and/or other materials provided with # the distribution. # Neither the name of Google Inc. nor the names of its # contributors may be used to endorse or promote products derived from # this software without specific prior written permission. # # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND # CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, # INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF # MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE # LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR # CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF # SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR # BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF # LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING # NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS # SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. # # # The word list in cjdict.txt are generated by combining three word lists # listed below with further processing for compound word breaking. The # frequency is generated with an iterative training against Google web # corpora. # # * Libtabe (Chinese) # - https://sourceforge.net/project/?group_id=1519 # - Its license terms and conditions are shown below. # # * IPADIC (Japanese) # - http://chasen.aist-nara.ac.jp/chasen/distribution.html # - Its license terms and conditions are shown below. # # ---------COPYING.libtabe ---- BEGIN-------------------- # # /* # * Copyright (c) 1999 TaBE Project. # * Copyright (c) 1999 Pai-Hsiang Hsiao. # * All rights reserved. # * # * Redistribution and use in source and binary forms, with or without # * modification, are permitted provided that the following conditions # * are met: # * # * . Redistributions of source code must retain the above copyright # * notice, this list of conditions and the following disclaimer. # * . Redistributions in binary form must reproduce the above copyright # * notice, this list of conditions and the following disclaimer in # * the documentation and/or other materials provided with the # * distribution. # * . Neither the name of the TaBE Project nor the names of its # * contributors may be used to endorse or promote products derived # * from this software without specific prior written permission. # * # * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # * REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, # * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # * OF THE POSSIBILITY OF SUCH DAMAGE. # */ # # /* # * Copyright (c) 1999 Computer Systems and Communication Lab, # * Institute of Information Science, Academia # * Sinica. All rights reserved. # * # * Redistribution and use in source and binary forms, with or without # * modification, are permitted provided that the following conditions # * are met: # * # * . Redistributions of source code must retain the above copyright # * notice, this list of conditions and the following disclaimer. # * . Redistributions in binary form must reproduce the above copyright # * notice, this list of conditions and the following disclaimer in # * the documentation and/or other materials provided with the # * distribution. # * . Neither the name of the Computer Systems and Communication Lab # * nor the names of its contributors may be used to endorse or # * promote products derived from this software without specific # * prior written permission. # * # * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # * REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, # * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # * OF THE POSSIBILITY OF SUCH DAMAGE. # */ # # Copyright 1996 Chih-Hao Tsai @ Beckman Institute, # University of Illinois # c-tsai4@uiuc.edu http://casper.beckman.uiuc.edu/~c-tsai4 # # ---------------COPYING.libtabe-----END-------------------------------- # # # ---------------COPYING.ipadic-----BEGIN------------------------------- # # Copyright 2000, 2001, 2002, 2003 Nara Institute of Science # and Technology. All Rights Reserved. # # Use, reproduction, and distribution of this software is permitted. # Any copy of this software, whether in its original form or modified, # must include both the above copyright notice and the following # paragraphs. # # Nara Institute of Science and Technology (NAIST), # the copyright holders, disclaims all warranties with regard to this # software, including all implied warranties of merchantability and # fitness, in no event shall NAIST be liable for # any special, indirect or consequential damages or any damages # whatsoever resulting from loss of use, data or profits, whether in an # action of contract, negligence or other tortuous action, arising out # of or in connection with the use or performance of this software. # # A large portion of the dictionary entries # originate from ICOT Free Software. The following conditions for ICOT # Free Software applies to the current dictionary as well. # # Each User may also freely distribute the Program, whether in its # original form or modified, to any third party or parties, PROVIDED # that the provisions of Section 3 ("NO WARRANTY") will ALWAYS appear # on, or be attached to, the Program, which is distributed substantially # in the same form as set out herein and that such intended # distribution, if actually made, will neither violate or otherwise # contravene any of the laws and regulations of the countries having # jurisdiction over the User or the intended distribution itself. # # NO WARRANTY # # The program was produced on an experimental basis in the course of the # research and development conducted during the project and is provided # to users as so produced on an experimental basis. Accordingly, the # program is provided without any warranty whatsoever, whether express, # implied, statutory or otherwise. The term "warranty" used herein # includes, but is not limited to, any warranty of the quality, # performance, merchantability and fitness for a particular purpose of # the program and the nonexistence of any infringement or violation of # any right of any third party. # # Each user of the program will agree and understand, and be deemed to # have agreed and understood, that there is no warranty whatsoever for # the program and, accordingly, the entire risk arising from or # otherwise connected with the program is assumed by the user. # # Therefore, neither ICOT, the copyright holder, or any other # organization that participated in or was otherwise related to the # development of the program and their respective officials, directors, # officers and other employees shall be held liable for any and all # damages, including, without limitation, general, special, incidental # and consequential damages, arising out of or otherwise in connection # with the use or inability to use the program or any product, material # or result produced or otherwise obtained by using the program, # regardless of whether they have been advised of, or otherwise had # knowledge of, the possibility of such damages at any time during the # project or thereafter. Each user will be deemed to have agreed to the # foregoing by his or her commencement of use of the program. The term # "use" as used herein includes, but is not limited to, the use, # modification, copying and distribution of the program and the # production of secondary products from the program. # # In the case where the program, whether in its original form or # modified, was distributed or delivered to or received by a user from # any person, organization or entity other than ICOT, unless it makes or # grants independently of ICOT any specific warranty to the user in # writing, such person, organization or entity, will also be exempted # from and not be held liable to the user for any such damages as noted # above as far as the program is concerned. # # ---------------COPYING.ipadic-----END---------------------------------- 3. Lao Word Break Dictionary Data (laodict.txt) # Copyright (c) 2013 International Business Machines Corporation # and others. All Rights Reserved. # # Project: https://github.com/veer66/lao-dictionary # Dictionary: https://github.com/veer66/lao-dictionary/blob/master/Lao-Dictionary.txt # License: https://github.com/veer66/lao-dictionary/blob/master/Lao-Dictionary-LICENSE.txt # (copied below) # # This file is derived from the above dictionary, with slight # modifications. # ---------------------------------------------------------------------- # Copyright (C) 2013 Brian Eugene Wilson, Robert Martin Campbell. # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, # are permitted provided that the following conditions are met: # # # Redistributions of source code must retain the above copyright notice, this # list of conditions and the following disclaimer. Redistributions in # binary form must reproduce the above copyright notice, this list of # conditions and the following disclaimer in the documentation and/or # other materials provided with the distribution. # # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, # INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # OF THE POSSIBILITY OF SUCH DAMAGE. # -------------------------------------------------------------------------- 4. Burmese Word Break Dictionary Data (burmesedict.txt) # Copyright (c) 2014 International Business Machines Corporation # and others. All Rights Reserved. # # This list is part of a project hosted at: # github.com/kanyawtech/myanmar-karen-word-lists # # -------------------------------------------------------------------------- # Copyright (c) 2013, LeRoy Benjamin Sharon # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions # are met: Redistributions of source code must retain the above # copyright notice, this list of conditions and the following # disclaimer. Redistributions in binary form must reproduce the # above copyright notice, this list of conditions and the following # disclaimer in the documentation and/or other materials provided # with the distribution. # # Neither the name Myanmar Karen Word Lists, nor the names of its # contributors may be used to endorse or promote products derived # from this software without specific prior written permission. # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND # CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, # INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF # MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS # BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, # EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED # TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, # DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON # ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR # TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF # THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF # SUCH DAMAGE. # -------------------------------------------------------------------------- 5. Time Zone Database ICU uses the public domain data and code derived from Time Zone Database for its time zone support. The ownership of the TZ database is explained in BCP 175: Procedure for Maintaining the Time Zone Database section 7. # 7. Database Ownership # # The TZ database itself is not an IETF Contribution or an IETF # document. Rather it is a pre-existing and regularly updated work # that is in the public domain, and is intended to remain in the # public domain. Therefore, BCPs 78 [RFC5378] and 79 [RFC3979] do # not apply to the TZ Database or contributions that individuals make # to it. Should any claims be made and substantiated against the TZ # Database, the organization that is providing the IANA # Considerations defined in this RFC, under the memorandum of # understanding with the IETF, currently ICANN, may act in accordance # with all competent court orders. No ownership claims will be made # by ICANN or the IETF Trust on the database or the code. Any person # making a contribution to the database or code waives all rights to # future claims in that contribution or in the TZ Database. 6. Google double-conversion Copyright 2006-2011, the V8 project authors. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== icu/icu4j/main/shared/licenses/license.html ===== ICU License - moved to LICENSE

The ICU license is now in plain text format, see LICENSE. Update links and software appropriately.

© 2016 and later: Unicode, Inc. and others. License & terms of use: http://www.unicode.org/copyright.html ===== icu/tools/unicodetools/license.html ===== ICU4J license - ICU4J 1.3.1 and later

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All trademarks and registered trademarks mentioned herein are the property of their respective owners. ===== icu/vendor/double-conversion/upstream/COPYING ===== Copyright 2006-2011, the V8 project authors. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Google Inc. nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== icu/vendor/double-conversion/upstream/LICENSE ===== Copyright 2006-2011, the V8 project authors. All rights reserved. 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For example, if a patent license would not permit royalty-free redistribution of the Library by all those who receive copies directly or indirectly through you, then the only way you could satisfy both it and this License would be to refrain entirely from distribution of the Library. If any portion of this section is held invalid or unenforceable under any particular circumstance, the balance of the section is intended to apply, and the section as a whole is intended to apply in other circumstances. It is not the purpose of this section to induce you to infringe any patents or other property right claims or to contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free software distribution system which is implemented by public license practices. Many people have made generous contributions to the wide range of software distributed through that system in reliance on consistent application of that system; it is up to the author/donor to decide if he or she is willing to distribute software through any other system and a licensee cannot impose that choice. This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License. 12. If the distribution and/or use of the Library is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Library under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 13. The Free Software Foundation may publish revised and/or new versions of the Lesser General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Library specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Library does not specify a license version number, you may choose any version ever published by the Free Software Foundation. 14. If you wish to incorporate parts of the Library into other free programs whose distribution conditions are incompatible with these, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 15. BECAUSE THE LIBRARY IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE LIBRARY, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE LIBRARY "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE LIBRARY IS WITH YOU. SHOULD THE LIBRARY PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 16. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE LIBRARY AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE LIBRARY (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE LIBRARY TO OPERATE WITH ANY OTHER SOFTWARE), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS How to Apply These Terms to Your New Libraries If you develop a new library, and you want it to be of the greatest possible use to the public, we recommend making it free software that everyone can redistribute and change. You can do so by permitting redistribution under these terms (or, alternatively, under the terms of the ordinary General Public License). To apply these terms, attach the following notices to the library. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. Copyright (C) This library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. This library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with this library; if not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA Also add information on how to contact you by electronic and paper mail. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the library, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the library `Frob' (a library for tweaking knobs) written by James Random Hacker. , 1 April 1990 Ty Coon, President of Vice That's all there is to it! ===== ios_opencv_source/opencv-4.5.3/3rdparty/include/opencl/LICENSE.txt ===== Copyright (c) 2008-2015 The Khronos Group Inc. Permission is hereby granted, free of charge, to any person obtaining a copy of this software and/or associated documentation files (the "Materials"), to deal in the Materials without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Materials, and to permit persons to whom the Materials are 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 Materials. MODIFICATIONS TO THIS FILE MAY MEAN IT NO LONGER ACCURATELY REFLECTS KHRONOS STANDARDS. THE UNMODIFIED, NORMATIVE VERSIONS OF KHRONOS SPECIFICATIONS AND HEADER INFORMATION ARE LOCATED AT https://www.khronos.org/registry/ THE MATERIALS ARE 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 MATERIALS OR THE USE OR OTHER DEALINGS IN THE MATERIALS. ===== ios_opencv_source/opencv-4.5.3/3rdparty/ittnotify/src/ittnotify/LICENSE.BSD ===== Copyright (c) 2011, Intel Corporation All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: • Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. • Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. • Neither the name of the Intel Corporation nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. ===== ios_opencv_source/opencv-4.5.3/3rdparty/ittnotify/src/ittnotify/LICENSE.GPL ===== The GNU General Public License (GPL) Version 2, June 1991 Copyright (C) 1989, 1991 Free Software Foundation, Inc. 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Everyone is permitted to copy and distribute verbatim copies of this license document, but changing it is not allowed. Preamble The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users. This General Public License applies to most of the Free Software Foundation's software and to any other program whose authors commit to using it. (Some other Free Software Foundation software is covered by the GNU Library General Public License instead.) You can apply it to your programs, too. When we speak of free software, we are referring to freedom, not price. Our General Public Licenses are designed to make sure that you have the freedom to distribute copies of free software (and charge for this service if you wish), that you receive source code or can get it if you want it, that you can change the software or use pieces of it in new free programs; and that you know you can do these things. To protect your rights, we need to make restrictions that forbid anyone to deny you these rights or to ask you to surrender the rights. These restrictions translate to certain responsibilities for you if you distribute copies of the software, or if you modify it. For example, if you distribute copies of such a program, whether gratis or for a fee, you must give the recipients all the rights that you have. You must make sure that they, too, receive or can get the source code. And you must show them these terms so they know their rights. We protect your rights with two steps: (1) copyright the software, and (2) offer you this license which gives you legal permission to copy, distribute and/or modify the software. Also, for each author's protection and ours, we want to make certain that everyone understands that there is no warranty for this free software. If the software is modified by someone else and passed on, we want its recipients to know that what they have is not the original, so that any problems introduced by others will not reflect on the original authors' reputations. Finally, any free program is threatened constantly by software patents. We wish to avoid the danger that redistributors of a free program will individually obtain patent licenses, in effect making the program proprietary. To prevent this, we have made it clear that any patent must be licensed for everyone's free use or not licensed at all. The precise terms and conditions for copying, distribution and modification follow. TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION 0. This License applies to any program or other work which contains a notice placed by the copyright holder saying it may be distributed under the terms of this General Public License. The "Program", below, refers to any such program or work, and a "work based on the Program" means either the Program or any derivative work under copyright law: that is to say, a work containing the Program or a portion of it, either verbatim or with modifications and/or translated into another language. (Hereinafter, translation is included without limitation in the term "modification".) Each licensee is addressed as "you". Activities other than copying, distribution and modification are not covered by this License; they are outside its scope. The act of running the Program is not restricted, and the output from the Program is covered only if its contents constitute a work based on the Program (independent of having been made by running the Program). Whether that is true depends on what the Program does. 1. You may copy and distribute verbatim copies of the Program's source code as you receive it, in any medium, provided that you conspicuously and appropriately publish on each copy an appropriate copyright notice and disclaimer of warranty; keep intact all the notices that refer to this License and to the absence of any warranty; and give any other recipients of the Program a copy of this License along with the Program. You may charge a fee for the physical act of transferring a copy, and you may at your option offer warranty protection in exchange for a fee. 2. You may modify your copy or copies of the Program or any portion of it, thus forming a work based on the Program, and copy and distribute such modifications or work under the terms of Section 1 above, provided that you also meet all of these conditions: a) You must cause the modified files to carry prominent notices stating that you changed the files and the date of any change. b) You must cause any work that you distribute or publish, that in whole or in part contains or is derived from the Program or any part thereof, to be licensed as a whole at no charge to all third parties under the terms of this License. c) If the modified program normally reads commands interactively when run, you must cause it, when started running for such interactive use in the most ordinary way, to print or display an announcement including an appropriate copyright notice and a notice that there is no warranty (or else, saying that you provide a warranty) and that users may redistribute the program under these conditions, and telling the user how to view a copy of this License. (Exception: if the Program itself is interactive but does not normally print such an announcement, your work based on the Program is not required to print an announcement.) These requirements apply to the modified work as a whole. If identifiable sections of that work are not derived from the Program, and can be reasonably considered independent and separate works in themselves, then this License, and its terms, do not apply to those sections when you distribute them as separate works. But when you distribute the same sections as part of a whole which is a work based on the Program, the distribution of the whole must be on the terms of this License, whose permissions for other licensees extend to the entire whole, and thus to each and every part regardless of who wrote it. Thus, it is not the intent of this section to claim rights or contest your rights to work written entirely by you; rather, the intent is to exercise the right to control the distribution of derivative or collective works based on the Program. In addition, mere aggregation of another work not based on the Program with the Program (or with a work based on the Program) on a volume of a storage or distribution medium does not bring the other work under the scope of this License. 3. You may copy and distribute the Program (or a work based on it, under Section 2) in object code or executable form under the terms of Sections 1 and 2 above provided that you also do one of the following: a) Accompany it with the complete corresponding machine-readable source code, which must be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, b) Accompany it with a written offer, valid for at least three years, to give any third party, for a charge no more than your cost of physically performing source distribution, a complete machine-readable copy of the corresponding source code, to be distributed under the terms of Sections 1 and 2 above on a medium customarily used for software interchange; or, c) Accompany it with the information you received as to the offer to distribute corresponding source code. (This alternative is allowed only for noncommercial distribution and only if you received the program in object code or executable form with such an offer, in accord with Subsection b above.) The source code for a work means the preferred form of the work for making modifications to it. For an executable work, complete source code means all the source code for all modules it contains, plus any associated interface definition files, plus the scripts used to control compilation and installation of the executable. However, as a special exception, the source code distributed need not include anything that is normally distributed (in either source or binary form) with the major components (compiler, kernel, and so on) of the operating system on which the executable runs, unless that component itself accompanies the executable. If distribution of executable or object code is made by offering access to copy from a designated place, then offering equivalent access to copy the source code from the same place counts as distribution of the source code, even though third parties are not compelled to copy the source along with the object code. 4. You may not copy, modify, sublicense, or distribute the Program except as expressly provided under this License. Any attempt otherwise to copy, modify, sublicense or distribute the Program is void, and will automatically terminate your rights under this License. However, parties who have received copies, or rights, from you under this License will not have their licenses terminated so long as such parties remain in full compliance. 5. You are not required to accept this License, since you have not signed it. However, nothing else grants you permission to modify or distribute the Program or its derivative works. These actions are prohibited by law if you do not accept this License. Therefore, by modifying or distributing the Program (or any work based on the Program), you indicate your acceptance of this License to do so, and all its terms and conditions for copying, distributing or modifying the Program or works based on it. 6. Each time you redistribute the Program (or any work based on the Program), the recipient automatically receives a license from the original licensor to copy, distribute or modify the Program subject to these terms and conditions. You may not impose any further restrictions on the recipients' exercise of the rights granted herein. You are not responsible for enforcing compliance by third parties to this License. 7. If, as a consequence of a court judgment or allegation of patent infringement or for any other reason (not limited to patent issues), conditions are imposed on you (whether by court order, agreement or otherwise) that contradict the conditions of this License, they do not excuse you from the conditions of this License. If you cannot distribute so as to satisfy simultaneously your obligations under this License and any other pertinent obligations, then as a consequence you may not distribute the Program at all. For example, if a patent license would not permit royalty-free redistribution of the Program by all those who receive copies directly or indirectly through you, then the only way you could satisfy both it and this License would be to refrain entirely from distribution of the Program. If any portion of this section is held invalid or unenforceable under any particular circumstance, the balance of the section is intended to apply and the section as a whole is intended to apply in other circumstances. It is not the purpose of this section to induce you to infringe any patents or other property right claims or to contest validity of any such claims; this section has the sole purpose of protecting the integrity of the free software distribution system, which is implemented by public license practices. Many people have made generous contributions to the wide range of software distributed through that system in reliance on consistent application of that system; it is up to the author/donor to decide if he or she is willing to distribute software through any other system and a licensee cannot impose that choice. This section is intended to make thoroughly clear what is believed to be a consequence of the rest of this License. 8. If the distribution and/or use of the Program is restricted in certain countries either by patents or by copyrighted interfaces, the original copyright holder who places the Program under this License may add an explicit geographical distribution limitation excluding those countries, so that distribution is permitted only in or among countries not thus excluded. In such case, this License incorporates the limitation as if written in the body of this License. 9. The Free Software Foundation may publish revised and/or new versions of the General Public License from time to time. Such new versions will be similar in spirit to the present version, but may differ in detail to address new problems or concerns. Each version is given a distinguishing version number. If the Program specifies a version number of this License which applies to it and "any later version", you have the option of following the terms and conditions either of that version or of any later version published by the Free Software Foundation. If the Program does not specify a version number of this License, you may choose any version ever published by the Free Software Foundation. 10. If you wish to incorporate parts of the Program into other free programs whose distribution conditions are different, write to the author to ask for permission. For software which is copyrighted by the Free Software Foundation, write to the Free Software Foundation; we sometimes make exceptions for this. Our decision will be guided by the two goals of preserving the free status of all derivatives of our free software and of promoting the sharing and reuse of software generally. NO WARRANTY 11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES. END OF TERMS AND CONDITIONS How to Apply These Terms to Your New Programs If you develop a new program, and you want it to be of the greatest possible use to the public, the best way to achieve this is to make it free software which everyone can redistribute and change under these terms. To do so, attach the following notices to the program. It is safest to attach them to the start of each source file to most effectively convey the exclusion of warranty; and each file should have at least the "copyright" line and a pointer to where the full notice is found. One line to give the program's name and a brief idea of what it does. Copyright (C) This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA Also add information on how to contact you by electronic and paper mail. If the program is interactive, make it output a short notice like this when it starts in an interactive mode: Gnomovision version 69, Copyright (C) year name of author Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'. This is free software, and you are welcome to redistribute it under certain conditions; type `show c' for details. The hypothetical commands `show w' and `show c' should show the appropriate parts of the General Public License. Of course, the commands you use may be called something other than `show w' and `show c'; they could even be mouse-clicks or menu items--whatever suits your program. You should also get your employer (if you work as a programmer) or your school, if any, to sign a "copyright disclaimer" for the program, if necessary. Here is a sample; alter the names: Yoyodyne, Inc., hereby disclaims all copyright interest in the program `Gnomovision' (which makes passes at compilers) written by James Hacker. signature of Ty Coon, 1 April 1989 Ty Coon, President of Vice This General Public License does not permit incorporating your program into proprietary programs. If your program is a subroutine library, you may consider it more useful to permit linking proprietary applications with the library. If this is what you want to do, use the GNU Library General Public License instead of this License. ===== ios_opencv_source/opencv-4.5.3/3rdparty/libjasper/LICENSE ===== JasPer License Version 2.0 Copyright (c) 2001-2006 Michael David Adams Copyright (c) 1999-2000 Image Power, Inc. Copyright (c) 1999-2000 The University of British Columbia All rights reserved. Permission is hereby granted, free of charge, to any person (the "User") 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, 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: 1. The above copyright notices and this permission notice (which includes the disclaimer below) shall be included in all copies or substantial portions of the Software. 2. The name of a copyright holder shall not be used to endorse or promote products derived from the Software without specific prior written permission. THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS "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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY. EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES, AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH, PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES. ===== ios_opencv_source/opencv-4.5.3/3rdparty/libjasper/copyright ===== This package was debianized by Christopher L Cheney on Fri, 22 Aug 2003 01:33:34 -0500. The current maintainer is Roland Stigge It was downloaded from http://www.ece.uvic.ca/~mdadams/jasper/ Upstream Author: Michael Adams License: JasPer License Version 2.0 Copyright (c) 1999-2000 Image Power, Inc. Copyright (c) 1999-2000 The University of British Columbia Copyright (c) 2001-2003 Michael David Adams All rights reserved. Permission is hereby granted, free of charge, to any person (the "User") 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, 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: 1. The above copyright notices and this permission notice (which includes the disclaimer below) shall be included in all copies or substantial portions of the Software. 2. The name of a copyright holder shall not be used to endorse or promote products derived from the Software without specific prior written permission. THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS "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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY. EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES, AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH, PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES. ===== ios_opencv_source/opencv-4.5.3/3rdparty/libjpeg-turbo/LICENSE.md ===== libjpeg-turbo Licenses ====================== libjpeg-turbo is covered by three compatible BSD-style open source licenses: - The IJG (Independent JPEG Group) License, which is listed in [README.ijg](README.ijg) This license applies to the libjpeg API library and associated programs (any code inherited from libjpeg, and any modifications to that code.) - The Modified (3-clause) BSD License, which is listed below This license covers the TurboJPEG API library and associated programs, as well as the build system. - The [zlib License](https://opensource.org/licenses/Zlib) This license is a subset of the other two, and it covers the libjpeg-turbo SIMD extensions. Complying with the libjpeg-turbo Licenses ========================================= This section provides a roll-up of the libjpeg-turbo licensing terms, to the best of our understanding. 1. If you are distributing a modified version of the libjpeg-turbo source, then: 1. You cannot alter or remove any existing copyright or license notices from the source. **Origin** - Clause 1 of the IJG License - Clause 1 of the Modified BSD License - Clauses 1 and 3 of the zlib License 2. You must add your own copyright notice to the header of each source file you modified, so others can tell that you modified that file (if there is not an existing copyright header in that file, then you can simply add a notice stating that you modified the file.) **Origin** - Clause 1 of the IJG License - Clause 2 of the zlib License 3. You must include the IJG README file, and you must not alter any of the copyright or license text in that file. **Origin** - Clause 1 of the IJG License 2. If you are distributing only libjpeg-turbo binaries without the source, or if you are distributing an application that statically links with libjpeg-turbo, then: 1. Your product documentation must include a message stating: This software is based in part on the work of the Independent JPEG Group. **Origin** - Clause 2 of the IJG license 2. If your binary distribution includes or uses the TurboJPEG API, then your product documentation must include the text of the Modified BSD License (see below.) **Origin** - Clause 2 of the Modified BSD License 3. You cannot use the name of the IJG or The libjpeg-turbo Project or the contributors thereof in advertising, publicity, etc. **Origin** - IJG License - Clause 3 of the Modified BSD License 4. The IJG and The libjpeg-turbo Project do not warrant libjpeg-turbo to be free of defects, nor do we accept any liability for undesirable consequences resulting from your use of the software. **Origin** - IJG License - Modified BSD License - zlib License The Modified (3-clause) BSD License =================================== Copyright (C)2009-2021 D. R. Commander. All Rights Reserved.
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Thus, it was desirable to choose a license that granted us the same protections for new code that were granted to the IJG for code derived from their software. ===== ios_opencv_source/opencv-4.5.3/3rdparty/libpng/LICENSE ===== COPYRIGHT NOTICE, DISCLAIMER, and LICENSE ========================================= PNG Reference Library License version 2 --------------------------------------- * Copyright (c) 1995-2019 The PNG Reference Library Authors. * Copyright (c) 2018-2019 Cosmin Truta. * Copyright (c) 2000-2002, 2004, 2006-2018 Glenn Randers-Pehrson. * Copyright (c) 1996-1997 Andreas Dilger. * Copyright (c) 1995-1996 Guy Eric Schalnat, Group 42, Inc. The software is supplied "as is", without warranty of any kind, express or implied, including, without limitation, the warranties of merchantability, fitness for a particular purpose, title, and non-infringement. 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PNG Reference Library License version 1 (for libpng 0.5 through 1.6.35) ----------------------------------------------------------------------- libpng versions 1.0.7, July 1, 2000, through 1.6.35, July 15, 2018 are Copyright (c) 2000-2002, 2004, 2006-2018 Glenn Randers-Pehrson, are derived from libpng-1.0.6, and are distributed according to the same disclaimer and license as libpng-1.0.6 with the following individuals added to the list of Contributing Authors: Simon-Pierre Cadieux Eric S. Raymond Mans Rullgard Cosmin Truta Gilles Vollant James Yu Mandar Sahastrabuddhe Google Inc. Vadim Barkov and with the following additions to the disclaimer: There is no warranty against interference with your enjoyment of the library or against infringement. There is no warranty that our efforts or the library will fulfill any of your particular purposes or needs. This library is provided with all faults, and the entire risk of satisfactory quality, performance, accuracy, and effort is with the user. 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You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. =========================================================================== For files under tasks/cc/text/language_detector/custom_ops/utils/utf/ =========================================================================== /* * The authors of this software are Rob Pike and Ken Thompson. * Copyright (c) 2002 by Lucent Technologies. * Permission to use, copy, modify, and distribute this software for any * purpose without fee is hereby granted, provided that this entire notice * is included in all copies of any software which is or includes a copy * or modification of this software and in all copies of the supporting * documentation for such software. * THIS SOFTWARE IS BEING PROVIDED "AS IS", WITHOUT ANY EXPRESS OR IMPLIED * WARRANTY. IN PARTICULAR, NEITHER THE AUTHORS NOR LUCENT TECHNOLOGIES MAKE ANY * REPRESENTATION OR WARRANTY OF ANY KIND CONCERNING THE MERCHANTABILITY * OF THIS SOFTWARE OR ITS FITNESS FOR ANY PARTICULAR PURPOSE. */ ===== org_tensorflow/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. 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"Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ## Some of TensorFlow's code is derived from Caffe, which is subject to the following copyright notice: COPYRIGHT All contributions by the University of California: Copyright (c) 2014, The Regents of the University of California (Regents) All rights reserved. All other contributions: Copyright (c) 2014, the respective contributors All rights reserved. Caffe uses a shared copyright model: each contributor holds copyright over their contributions to Caffe. The project versioning records all such contribution and copyright details. If a contributor wants to further mark their specific copyright on a particular contribution, they should indicate their copyright solely in the commit message of the change when it is committed. LICENSE Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. CONTRIBUTION AGREEMENT By contributing to the BVLC/caffe repository through pull-request, comment, or otherwise, the contributor releases their content to the license and copyright terms herein. ===== org_tensorflow/tensorflow/lite/tools/pip_package/debian/copyright ===== Format: http://www.debian.org/doc/packaging-manuals/copyright-format/1.0/ Upstream-Name: python3-tflite-runtime Source: https://www.tensorflow.org/ Files: * Copyright: Copyright 2019 Google, LLC License: Apache-2.0 ===== org_tensorflow/third_party/fft2d/LICENSE ===== Copyright(C) 1997,2001 Takuya OOURA (email: ooura@kurims.kyoto-u.ac.jp). You may use, copy, modify this code for any purpose and without fee. You may distribute this ORIGINAL package. ===== org_tensorflow/third_party/icu/data/LICENSE ===== COPYRIGHT AND PERMISSION NOTICE (ICU 58 and later) Copyright © 1991-2018 Unicode, Inc. All rights reserved. Distributed under the Terms of Use in http://www.unicode.org/copyright.html. Permission is hereby granted, free of charge, to any person obtaining a copy of the Unicode data files and any associated documentation (the "Data Files") or Unicode software and any associated documentation (the "Software") to deal in the Data Files or Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Data Files or Software, and to permit persons to whom the Data Files or Software are furnished to do so, provided that either (a) this copyright and permission notice appear with all copies of the Data Files or Software, or (b) this copyright and permission notice appear in associated Documentation. THE DATA FILES AND SOFTWARE ARE 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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THE DATA FILES OR SOFTWARE. Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in these Data Files or Software without prior written authorization of the copyright holder. --------------------- Third-Party Software Licenses This section contains third-party software notices and/or additional terms for licensed third-party software components included within ICU libraries. 1. ICU License - ICU 1.8.1 to ICU 57.1 COPYRIGHT AND PERMISSION NOTICE Copyright (c) 1995-2016 International Business Machines Corporation and others All rights reserved. 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, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice(s) and this permission notice appear in all copies of the Software and that both the above copyright notice(s) and this permission notice appear in supporting documentation. 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 OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. Except as contained in this notice, the name of a copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder. All trademarks and registered trademarks mentioned herein are the property of their respective owners. 2. Chinese/Japanese Word Break Dictionary Data (cjdict.txt) # The Google Chrome software developed by Google is licensed under # the BSD license. Other software included in this distribution is # provided under other licenses, as set forth below. # # The BSD License # http://opensource.org/licenses/bsd-license.php # Copyright (C) 2006-2008, Google Inc. # # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions are met: # # Redistributions of source code must retain the above copyright notice, # this list of conditions and the following disclaimer. # Redistributions in binary form must reproduce the above # copyright notice, this list of conditions and the following # disclaimer in the documentation and/or other materials provided with # the distribution. # Neither the name of Google Inc. nor the names of its # contributors may be used to endorse or promote products derived from # this software without specific prior written permission. # # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND # CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, # INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF # MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE # LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR # CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF # SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR # BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF # LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING # NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS # SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. # # # The word list in cjdict.txt are generated by combining three word lists # listed below with further processing for compound word breaking. The # frequency is generated with an iterative training against Google web # corpora. # # * Libtabe (Chinese) # - https://sourceforge.net/project/?group_id=1519 # - Its license terms and conditions are shown below. # # * IPADIC (Japanese) # - http://chasen.aist-nara.ac.jp/chasen/distribution.html # - Its license terms and conditions are shown below. # # ---------COPYING.libtabe ---- BEGIN-------------------- # # /* # * Copyright (c) 1999 TaBE Project. # * Copyright (c) 1999 Pai-Hsiang Hsiao. # * All rights reserved. # * # * Redistribution and use in source and binary forms, with or without # * modification, are permitted provided that the following conditions # * are met: # * # * . Redistributions of source code must retain the above copyright # * notice, this list of conditions and the following disclaimer. # * . Redistributions in binary form must reproduce the above copyright # * notice, this list of conditions and the following disclaimer in # * the documentation and/or other materials provided with the # * distribution. # * . Neither the name of the TaBE Project nor the names of its # * contributors may be used to endorse or promote products derived # * from this software without specific prior written permission. # * # * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # * REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, # * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # * OF THE POSSIBILITY OF SUCH DAMAGE. # */ # # /* # * Copyright (c) 1999 Computer Systems and Communication Lab, # * Institute of Information Science, Academia # * Sinica. All rights reserved. # * # * Redistribution and use in source and binary forms, with or without # * modification, are permitted provided that the following conditions # * are met: # * # * . Redistributions of source code must retain the above copyright # * notice, this list of conditions and the following disclaimer. # * . Redistributions in binary form must reproduce the above copyright # * notice, this list of conditions and the following disclaimer in # * the documentation and/or other materials provided with the # * distribution. # * . Neither the name of the Computer Systems and Communication Lab # * nor the names of its contributors may be used to endorse or # * promote products derived from this software without specific # * prior written permission. # * # * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # * REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, # * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # * (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # * SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # * OF THE POSSIBILITY OF SUCH DAMAGE. # */ # # Copyright 1996 Chih-Hao Tsai @ Beckman Institute, # University of Illinois # c-tsai4@uiuc.edu http://casper.beckman.uiuc.edu/~c-tsai4 # # ---------------COPYING.libtabe-----END-------------------------------- # # # ---------------COPYING.ipadic-----BEGIN------------------------------- # # Copyright 2000, 2001, 2002, 2003 Nara Institute of Science # and Technology. All Rights Reserved. # # Use, reproduction, and distribution of this software is permitted. # Any copy of this software, whether in its original form or modified, # must include both the above copyright notice and the following # paragraphs. # # Nara Institute of Science and Technology (NAIST), # the copyright holders, disclaims all warranties with regard to this # software, including all implied warranties of merchantability and # fitness, in no event shall NAIST be liable for # any special, indirect or consequential damages or any damages # whatsoever resulting from loss of use, data or profits, whether in an # action of contract, negligence or other tortuous action, arising out # of or in connection with the use or performance of this software. # # A large portion of the dictionary entries # originate from ICOT Free Software. The following conditions for ICOT # Free Software applies to the current dictionary as well. # # Each User may also freely distribute the Program, whether in its # original form or modified, to any third party or parties, PROVIDED # that the provisions of Section 3 ("NO WARRANTY") will ALWAYS appear # on, or be attached to, the Program, which is distributed substantially # in the same form as set out herein and that such intended # distribution, if actually made, will neither violate or otherwise # contravene any of the laws and regulations of the countries having # jurisdiction over the User or the intended distribution itself. # # NO WARRANTY # # The program was produced on an experimental basis in the course of the # research and development conducted during the project and is provided # to users as so produced on an experimental basis. Accordingly, the # program is provided without any warranty whatsoever, whether express, # implied, statutory or otherwise. The term "warranty" used herein # includes, but is not limited to, any warranty of the quality, # performance, merchantability and fitness for a particular purpose of # the program and the nonexistence of any infringement or violation of # any right of any third party. # # Each user of the program will agree and understand, and be deemed to # have agreed and understood, that there is no warranty whatsoever for # the program and, accordingly, the entire risk arising from or # otherwise connected with the program is assumed by the user. # # Therefore, neither ICOT, the copyright holder, or any other # organization that participated in or was otherwise related to the # development of the program and their respective officials, directors, # officers and other employees shall be held liable for any and all # damages, including, without limitation, general, special, incidental # and consequential damages, arising out of or otherwise in connection # with the use or inability to use the program or any product, material # or result produced or otherwise obtained by using the program, # regardless of whether they have been advised of, or otherwise had # knowledge of, the possibility of such damages at any time during the # project or thereafter. Each user will be deemed to have agreed to the # foregoing by his or her commencement of use of the program. The term # "use" as used herein includes, but is not limited to, the use, # modification, copying and distribution of the program and the # production of secondary products from the program. # # In the case where the program, whether in its original form or # modified, was distributed or delivered to or received by a user from # any person, organization or entity other than ICOT, unless it makes or # grants independently of ICOT any specific warranty to the user in # writing, such person, organization or entity, will also be exempted # from and not be held liable to the user for any such damages as noted # above as far as the program is concerned. # # ---------------COPYING.ipadic-----END---------------------------------- 3. Lao Word Break Dictionary Data (laodict.txt) # Copyright (c) 2013 International Business Machines Corporation # and others. All Rights Reserved. # # Project: http://code.google.com/p/lao-dictionary/ # Dictionary: http://lao-dictionary.googlecode.com/git/Lao-Dictionary.txt # License: http://lao-dictionary.googlecode.com/git/Lao-Dictionary-LICENSE.txt # (copied below) # # This file is derived from the above dictionary, with slight # modifications. # ---------------------------------------------------------------------- # Copyright (C) 2013 Brian Eugene Wilson, Robert Martin Campbell. # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, # are permitted provided that the following conditions are met: # # # Redistributions of source code must retain the above copyright notice, this # list of conditions and the following disclaimer. Redistributions in # binary form must reproduce the above copyright notice, this list of # conditions and the following disclaimer in the documentation and/or # other materials provided with the distribution. # # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS # "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT # LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS # FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE # COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, # INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES # (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR # SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # OF THE POSSIBILITY OF SUCH DAMAGE. # -------------------------------------------------------------------------- 4. Burmese Word Break Dictionary Data (burmesedict.txt) # Copyright (c) 2014 International Business Machines Corporation # and others. All Rights Reserved. # # This list is part of a project hosted at: # github.com/kanyawtech/myanmar-karen-word-lists # # -------------------------------------------------------------------------- # Copyright (c) 2013, LeRoy Benjamin Sharon # All rights reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions # are met: Redistributions of source code must retain the above # copyright notice, this list of conditions and the following # disclaimer. Redistributions in binary form must reproduce the # above copyright notice, this list of conditions and the following # disclaimer in the documentation and/or other materials provided # with the distribution. # # Neither the name Myanmar Karen Word Lists, nor the names of its # contributors may be used to endorse or promote products derived # from this software without specific prior written permission. # # THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND # CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, # INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF # MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE # DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS # BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, # EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED # TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, # DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON # ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR # TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF # THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF # SUCH DAMAGE. # -------------------------------------------------------------------------- 5. Time Zone Database ICU uses the public domain data and code derived from Time Zone Database for its time zone support. The ownership of the TZ database is explained in BCP 175: Procedure for Maintaining the Time Zone Database section 7. # 7. Database Ownership # # The TZ database itself is not an IETF Contribution or an IETF # document. 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While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. 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IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. The NumPy repository and source distributions bundle several libraries that are compatibly licensed. We list these here. Name: Numpydoc Files: doc/sphinxext/numpydoc/* License: 2-clause BSD For details, see doc/sphinxext/LICENSE.txt Name: scipy-sphinx-theme Files: doc/scipy-sphinx-theme/* License: 3-clause BSD, PSF and Apache 2.0 For details, see doc/scipy-sphinx-theme/LICENSE.txt Name: lapack-lite Files: numpy/linalg/lapack_lite/* License: 3-clause BSD For details, see numpy/linalg/lapack_lite/LICENSE.txt Name: tempita Files: tools/npy_tempita/* License: BSD derived For details, see tools/npy_tempita/license.txt Name: dragon4 Files: numpy/core/src/multiarray/dragon4.c License: One of a kind For license text, see numpy/core/src/multiarray/dragon4.c ===== org_tensorflow/third_party/xla/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. 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Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/third_party/eigen3/LICENSE ===== Eigen is primarily MPL2 licensed. See COPYING.MPL2 and these links: http://www.mozilla.org/MPL/2.0/ http://www.mozilla.org/MPL/2.0/FAQ.html Some files contain third-party code under BSD or LGPL licenses, whence the other COPYING.* files here. All the LGPL code is either LGPL 2.1-only, or LGPL 2.1-or-later. For this reason, the COPYING.LGPL file contains the LGPL 2.1 text. If you want to guarantee that the Eigen code that you are #including is licensed under the MPL2 and possibly more permissive licenses (like BSD), #define this preprocessor symbol: EIGEN_MPL2_ONLY For example, with most compilers, you could add this to your project CXXFLAGS: -DEIGEN_MPL2_ONLY This will cause a compilation error to be generated if you #include any code that is LGPL licensed. ---------------------------------------------------------------------- Following applies to: ./test/mapstaticmethods.cpp ./test/schur_real.cpp ./test/prec_inverse_4x4.cpp ./test/smallvectors.cpp ./test/redux.cpp ./test/special_numbers.cpp ./test/adjoint.cpp ./test/resize.cpp ./test/mixingtypes.cpp ./test/product_trmv.cpp ./test/sparse_solvers.cpp ./test/cholesky.cpp ./test/geo_quaternion.cpp ./test/miscmatrices.cpp ./test/stddeque.cpp ./test/integer_types.cpp ./test/product_large.cpp ./test/eigensolver_generic.cpp ./test/householder.cpp ./test/geo_orthomethods.cpp ./test/array_for_matrix.cpp ./test/sparseLM.cpp ./test/upperbidiagonalization.cpp ./test/nomalloc.cpp ./test/packetmath.cpp ./test/jacobisvd.cpp ./test/geo_transformations.cpp ./test/swap.cpp ./test/eigensolver_selfadjoint.cpp ./test/inverse.cpp ./test/product_selfadjoint.cpp ./test/product_trsolve.cpp ./test/product_extra.cpp ./test/sparse_solver.h ./test/mapstride.cpp ./test/mapped_matrix.cpp ./test/geo_eulerangles.cpp ./test/eigen2support.cpp ./test/denseLM.cpp ./test/stdvector.cpp ./test/nesting_ops.cpp ./test/sparse_permutations.cpp ./test/zerosized.cpp ./test/exceptions.cpp ./test/vectorwiseop.cpp ./test/cwiseop.cpp ./test/basicstuff.cpp ./test/product_trmm.cpp ./test/linearstructure.cpp ./test/sparse_product.cpp ./test/stdvector_overload.cpp ./test/stable_norm.cpp ./test/umeyama.cpp ./test/unalignedcount.cpp ./test/triangular.cpp ./test/product_mmtr.cpp ./test/sparse_basic.cpp ./test/sparse_vector.cpp ./test/meta.cpp ./test/real_qz.cpp ./test/ref.cpp ./test/eigensolver_complex.cpp ./test/cholmod_support.cpp ./test/conjugate_gradient.cpp ./test/sparse.h ./test/simplicial_cholesky.cpp ./test/bicgstab.cpp ./test/dynalloc.cpp ./test/product_notemporary.cpp ./test/geo_hyperplane.cpp ./test/lu.cpp ./test/qr.cpp ./test/hessenberg.cpp ./test/sizeof.cpp ./test/main.h ./test/selfadjoint.cpp ./test/permutationmatrices.cpp ./test/superlu_support.cpp ./test/qtvector.cpp ./test/geo_homogeneous.cpp ./test/determinant.cpp ./test/array_reverse.cpp ./test/unalignedassert.cpp ./test/stdlist.cpp ./test/product_symm.cpp ./test/corners.cpp ./test/dontalign.cpp ./test/visitor.cpp ./test/geo_alignedbox.cpp ./test/diagonalmatrices.cpp ./test/product_small.cpp ./test/eigensolver_generalized_real.cpp ./test/umfpack_support.cpp ./test/first_aligned.cpp ./test/qr_fullpivoting.cpp ./test/array_replicate.cpp ./test/geo_parametrizedline.cpp ./test/eigen2/eigen2_unalignedassert.cpp ./test/eigen2/eigen2_prec_inverse_4x4.cpp ./test/eigen2/eigen2_alignedbox.cpp ./test/eigen2/eigen2_sparse_product.cpp ./test/eigen2/eigen2_meta.cpp ./test/eigen2/eigen2_nomalloc.cpp ./test/eigen2/eigen2_visitor.cpp ./test/eigen2/eigen2_packetmath.cpp ./test/eigen2/eigen2_svd.cpp ./test/eigen2/eigen2_mixingtypes.cpp ./test/eigen2/eigen2_qr.cpp ./test/eigen2/eigen2_cwiseop.cpp ./test/eigen2/eigen2_geometry_with_eigen2_prefix.cpp ./test/eigen2/eigen2_smallvectors.cpp ./test/eigen2/eigen2_commainitializer.cpp ./test/eigen2/eigen2_sparse_solvers.cpp ./test/eigen2/eigen2_hyperplane.cpp ./test/eigen2/eigen2_eigensolver.cpp ./test/eigen2/eigen2_linearstructure.cpp ./test/eigen2/eigen2_sizeof.cpp ./test/eigen2/eigen2_parametrizedline.cpp ./test/eigen2/eigen2_lu.cpp ./test/eigen2/eigen2_adjoint.cpp ./test/eigen2/eigen2_geometry.cpp ./test/eigen2/eigen2_stdvector.cpp ./test/eigen2/eigen2_newstdvector.cpp ./test/eigen2/eigen2_submatrices.cpp ./test/eigen2/sparse.h ./test/eigen2/eigen2_swap.cpp ./test/eigen2/eigen2_triangular.cpp ./test/eigen2/eigen2_basicstuff.cpp ./test/eigen2/gsl_helper.h ./test/eigen2/eigen2_dynalloc.cpp ./test/eigen2/eigen2_array.cpp ./test/eigen2/eigen2_map.cpp ./test/eigen2/main.h ./test/eigen2/eigen2_miscmatrices.cpp ./test/eigen2/eigen2_product_large.cpp ./test/eigen2/eigen2_first_aligned.cpp ./test/eigen2/eigen2_cholesky.cpp ./test/eigen2/eigen2_determinant.cpp ./test/eigen2/eigen2_sum.cpp ./test/eigen2/eigen2_inverse.cpp ./test/eigen2/eigen2_regression.cpp ./test/eigen2/eigen2_product_small.cpp ./test/eigen2/eigen2_qtvector.cpp ./test/eigen2/eigen2_sparse_vector.cpp ./test/eigen2/product.h ./test/eigen2/eigen2_sparse_basic.cpp ./test/eigen2/eigen2_bug_132.cpp ./test/array.cpp ./test/product_syrk.cpp ./test/commainitializer.cpp ./test/conservative_resize.cpp ./test/qr_colpivoting.cpp ./test/nullary.cpp ./test/bandmatrix.cpp ./test/pastix_support.cpp ./test/product.h ./test/block.cpp ./test/vectorization_logic.cpp ./test/jacobi.cpp ./test/diagonal.cpp ./test/schur_complex.cpp ./test/sizeoverflow.cpp ./bench/BenchTimer.h ./bench/benchFFT.cpp ./bench/eig33.cpp ./bench/spbench/spbenchsolver.h ./bench/spbench/spbenchstyle.h ./lapack/complex_double.cpp ./lapack/cholesky.cpp ./lapack/lapack_common.h ./lapack/eigenvalues.cpp ./lapack/single.cpp ./lapack/lu.cpp ./lapack/complex_single.cpp ./lapack/double.cpp ./demos/mix_eigen_and_c/binary_library.cpp ./demos/mix_eigen_and_c/binary_library.h ./demos/mix_eigen_and_c/example.c ./demos/mandelbrot/mandelbrot.cpp ./demos/mandelbrot/mandelbrot.h ./demos/opengl/icosphere.cpp ./demos/opengl/icosphere.h ./demos/opengl/camera.cpp ./demos/opengl/quaternion_demo.h ./demos/opengl/camera.h ./demos/opengl/trackball.h ./demos/opengl/gpuhelper.h ./demos/opengl/trackball.cpp ./demos/opengl/gpuhelper.cpp ./demos/opengl/quaternion_demo.cpp ./debug/gdb/printers.py ./unsupported/test/minres.cpp ./unsupported/test/openglsupport.cpp ./unsupported/test/jacobisvd.cpp ./unsupported/test/dgmres.cpp ./unsupported/test/matrix_square_root.cpp ./unsupported/test/bdcsvd.cpp ./unsupported/test/matrix_exponential.cpp ./unsupported/test/forward_adolc.cpp ./unsupported/test/polynomialsolver.cpp ./unsupported/test/matrix_function.cpp ./unsupported/test/sparse_extra.cpp ./unsupported/test/matrix_functions.h ./unsupported/test/svd_common.h ./unsupported/test/FFTW.cpp ./unsupported/test/alignedvector3.cpp ./unsupported/test/autodiff.cpp ./unsupported/test/gmres.cpp ./unsupported/test/BVH.cpp ./unsupported/test/levenberg_marquardt.cpp ./unsupported/test/matrix_power.cpp ./unsupported/test/kronecker_product.cpp ./unsupported/test/splines.cpp ./unsupported/test/polynomialutils.cpp ./unsupported/bench/bench_svd.cpp ./unsupported/Eigen/IterativeSolvers ./unsupported/Eigen/src/IterativeSolvers/DGMRES.h ./unsupported/Eigen/src/IterativeSolvers/IncompleteLU.h ./unsupported/Eigen/src/IterativeSolvers/GMRES.h ./unsupported/Eigen/src/IterativeSolvers/IncompleteCholesky.h ./unsupported/Eigen/src/IterativeSolvers/Scaling.h ./unsupported/Eigen/src/IterativeSolvers/MINRES.h ./unsupported/Eigen/src/SparseExtra/RandomSetter.h ./unsupported/Eigen/src/SparseExtra/MatrixMarketIterator.h ./unsupported/Eigen/src/SparseExtra/DynamicSparseMatrix.h ./unsupported/Eigen/src/SparseExtra/MarketIO.h ./unsupported/Eigen/src/SparseExtra/BlockOfDynamicSparseMatrix.h ./unsupported/Eigen/src/KroneckerProduct/KroneckerTensorProduct.h ./unsupported/Eigen/src/NonLinearOptimization/LevenbergMarquardt.h ./unsupported/Eigen/src/NonLinearOptimization/HybridNonLinearSolver.h ./unsupported/Eigen/src/BVH/BVAlgorithms.h ./unsupported/Eigen/src/BVH/KdBVH.h ./unsupported/Eigen/src/AutoDiff/AutoDiffScalar.h ./unsupported/Eigen/src/AutoDiff/AutoDiffJacobian.h ./unsupported/Eigen/src/AutoDiff/AutoDiffVector.h ./unsupported/Eigen/src/Splines/Spline.h ./unsupported/Eigen/src/Splines/SplineFitting.h ./unsupported/Eigen/src/Splines/SplineFwd.h ./unsupported/Eigen/src/SVD/JacobiSVD.h ./unsupported/Eigen/src/SVD/BDCSVD.h ./unsupported/Eigen/src/SVD/SVDBase.h ./unsupported/Eigen/src/MatrixFunctions/MatrixFunction.h ./unsupported/Eigen/src/MatrixFunctions/MatrixSquareRoot.h ./unsupported/Eigen/src/MatrixFunctions/MatrixLogarithm.h ./unsupported/Eigen/src/MatrixFunctions/StemFunction.h ./unsupported/Eigen/src/MatrixFunctions/MatrixPower.h ./unsupported/Eigen/src/MatrixFunctions/MatrixExponential.h ./unsupported/Eigen/src/MatrixFunctions/MatrixFunctionAtomic.h ./unsupported/Eigen/src/MoreVectorization/MathFunctions.h ./unsupported/Eigen/src/LevenbergMarquardt/LevenbergMarquardt.h ./unsupported/Eigen/src/FFT/ei_fftw_impl.h ./unsupported/Eigen/src/FFT/ei_kissfft_impl.h ./unsupported/Eigen/src/Polynomials/PolynomialSolver.h ./unsupported/Eigen/src/Polynomials/Companion.h ./unsupported/Eigen/src/Polynomials/PolynomialUtils.h ./unsupported/Eigen/src/NumericalDiff/NumericalDiff.h ./unsupported/Eigen/src/Skyline/SkylineProduct.h ./unsupported/Eigen/src/Skyline/SkylineMatrixBase.h ./unsupported/Eigen/src/Skyline/SkylineStorage.h ./unsupported/Eigen/src/Skyline/SkylineUtil.h ./unsupported/Eigen/src/Skyline/SkylineInplaceLU.h ./unsupported/Eigen/src/Skyline/SkylineMatrix.h ./unsupported/Eigen/SparseExtra ./unsupported/Eigen/AdolcForward ./unsupported/Eigen/KroneckerProduct ./unsupported/Eigen/NonLinearOptimization ./unsupported/Eigen/BVH ./unsupported/Eigen/OpenGLSupport ./unsupported/Eigen/ArpackSupport ./unsupported/Eigen/AutoDiff ./unsupported/Eigen/Splines ./unsupported/Eigen/MPRealSupport ./unsupported/Eigen/MatrixFunctions ./unsupported/Eigen/MoreVectorization ./unsupported/Eigen/LevenbergMarquardt ./unsupported/Eigen/AlignedVector3 ./unsupported/Eigen/FFT ./unsupported/Eigen/Polynomials ./unsupported/Eigen/NumericalDiff ./unsupported/Eigen/Skyline ./COPYING.README ./COPYING.README ./LICENSE ./LICENSE ./LICENSE ./Eigen/Eigen2Support ./Eigen/src/Eigen2Support/VectorBlock.h ./Eigen/src/Eigen2Support/Cwise.h ./Eigen/src/Eigen2Support/Minor.h ./Eigen/src/Eigen2Support/Lazy.h ./Eigen/src/Eigen2Support/Memory.h ./Eigen/src/Eigen2Support/MathFunctions.h ./Eigen/src/Eigen2Support/Geometry/AlignedBox.h ./Eigen/src/Eigen2Support/Geometry/Hyperplane.h ./Eigen/src/Eigen2Support/Geometry/Quaternion.h ./Eigen/src/Eigen2Support/Geometry/Rotation2D.h ./Eigen/src/Eigen2Support/Geometry/ParametrizedLine.h ./Eigen/src/Eigen2Support/Geometry/RotationBase.h ./Eigen/src/Eigen2Support/Geometry/Translation.h ./Eigen/src/Eigen2Support/Geometry/Scaling.h ./Eigen/src/Eigen2Support/Geometry/AngleAxis.h ./Eigen/src/Eigen2Support/Geometry/Transform.h ./Eigen/src/Eigen2Support/TriangularSolver.h ./Eigen/src/Eigen2Support/LU.h ./Eigen/src/Eigen2Support/QR.h ./Eigen/src/Eigen2Support/SVD.h ./Eigen/src/Eigen2Support/Meta.h ./Eigen/src/Eigen2Support/Block.h ./Eigen/src/Eigen2Support/Macros.h ./Eigen/src/Eigen2Support/LeastSquares.h ./Eigen/src/Eigen2Support/CwiseOperators.h ./Eigen/src/Jacobi/Jacobi.h ./Eigen/src/misc/Kernel.h ./Eigen/src/misc/SparseSolve.h ./Eigen/src/misc/Solve.h ./Eigen/src/misc/Image.h ./Eigen/src/SparseCore/SparseColEtree.h ./Eigen/src/SparseCore/SparseTranspose.h ./Eigen/src/SparseCore/SparseUtil.h ./Eigen/src/SparseCore/SparseCwiseBinaryOp.h ./Eigen/src/SparseCore/SparseDiagonalProduct.h ./Eigen/src/SparseCore/SparseProduct.h ./Eigen/src/SparseCore/SparseDot.h ./Eigen/src/SparseCore/SparseCwiseUnaryOp.h ./Eigen/src/SparseCore/SparseSparseProductWithPruning.h ./Eigen/src/SparseCore/SparseBlock.h ./Eigen/src/SparseCore/SparseDenseProduct.h ./Eigen/src/SparseCore/CompressedStorage.h ./Eigen/src/SparseCore/SparseMatrixBase.h ./Eigen/src/SparseCore/MappedSparseMatrix.h ./Eigen/src/SparseCore/SparseTriangularView.h ./Eigen/src/SparseCore/SparseView.h ./Eigen/src/SparseCore/SparseFuzzy.h ./Eigen/src/SparseCore/TriangularSolver.h ./Eigen/src/SparseCore/SparseSelfAdjointView.h ./Eigen/src/SparseCore/SparseMatrix.h ./Eigen/src/SparseCore/SparseVector.h ./Eigen/src/SparseCore/AmbiVector.h ./Eigen/src/SparseCore/ConservativeSparseSparseProduct.h ./Eigen/src/SparseCore/SparseRedux.h ./Eigen/src/SparseCore/SparsePermutation.h ./Eigen/src/Eigenvalues/RealSchur.h ./Eigen/src/Eigenvalues/ComplexEigenSolver.h ./Eigen/src/Eigenvalues/GeneralizedEigenSolver.h ./Eigen/src/Eigenvalues/ComplexSchur.h ./Eigen/src/Eigenvalues/RealQZ.h ./Eigen/src/Eigenvalues/EigenSolver.h ./Eigen/src/Eigenvalues/HessenbergDecomposition.h ./Eigen/src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h ./Eigen/src/Eigenvalues/Tridiagonalization.h ./Eigen/src/Eigenvalues/SelfAdjointEigenSolver.h ./Eigen/src/Eigenvalues/MatrixBaseEigenvalues.h ./Eigen/src/SuperLUSupport/SuperLUSupport.h ./Eigen/src/StlSupport/StdDeque.h ./Eigen/src/StlSupport/StdVector.h ./Eigen/src/StlSupport/StdList.h ./Eigen/src/StlSupport/details.h ./Eigen/src/SparseQR/SparseQR.h ./Eigen/src/LU/Inverse.h ./Eigen/src/LU/arch/Inverse_SSE.h ./Eigen/src/LU/Determinant.h ./Eigen/src/LU/PartialPivLU.h ./Eigen/src/LU/FullPivLU.h ./Eigen/src/UmfPackSupport/UmfPackSupport.h ./Eigen/src/OrderingMethods/Ordering.h ./Eigen/src/OrderingMethods/Eigen_Colamd.h ./Eigen/src/QR/HouseholderQR.h ./Eigen/src/QR/ColPivHouseholderQR.h ./Eigen/src/QR/FullPivHouseholderQR.h ./Eigen/src/SVD/JacobiSVD.h ./Eigen/src/SVD/UpperBidiagonalization.h ./Eigen/src/Geometry/OrthoMethods.h ./Eigen/src/Geometry/AlignedBox.h ./Eigen/src/Geometry/Hyperplane.h ./Eigen/src/Geometry/Quaternion.h ./Eigen/src/Geometry/EulerAngles.h ./Eigen/src/Geometry/Rotation2D.h ./Eigen/src/Geometry/ParametrizedLine.h ./Eigen/src/Geometry/RotationBase.h ./Eigen/src/Geometry/arch/Geometry_SSE.h ./Eigen/src/Geometry/Umeyama.h ./Eigen/src/Geometry/Homogeneous.h ./Eigen/src/Geometry/Translation.h ./Eigen/src/Geometry/Scaling.h ./Eigen/src/Geometry/AngleAxis.h ./Eigen/src/Geometry/Transform.h ./Eigen/src/plugins/BlockMethods.h ./Eigen/src/plugins/CommonCwiseUnaryOps.h ./Eigen/src/plugins/CommonCwiseBinaryOps.h ./Eigen/src/plugins/MatrixCwiseUnaryOps.h ./Eigen/src/plugins/MatrixCwiseBinaryOps.h ./Eigen/src/Householder/Householder.h ./Eigen/src/Householder/HouseholderSequence.h ./Eigen/src/Householder/BlockHouseholder.h ./Eigen/src/Core/VectorBlock.h ./Eigen/src/Core/Matrix.h ./Eigen/src/Core/Ref.h ./Eigen/src/Core/SelfAdjointView.h ./Eigen/src/Core/MathFunctions.h ./Eigen/src/Core/GlobalFunctions.h ./Eigen/src/Core/MapBase.h ./Eigen/src/Core/EigenBase.h ./Eigen/src/Core/GenericPacketMath.h ./Eigen/src/Core/NestByValue.h ./Eigen/src/Core/CwiseUnaryOp.h ./Eigen/src/Core/SolveTriangular.h ./Eigen/src/Core/Fuzzy.h ./Eigen/src/Core/Visitor.h ./Eigen/src/Core/Map.h ./Eigen/src/Core/NoAlias.h ./Eigen/src/Core/Diagonal.h ./Eigen/src/Core/StableNorm.h ./Eigen/src/Core/CoreIterators.h ./Eigen/src/Core/products/Parallelizer.h ./Eigen/src/Core/products/SelfadjointMatrixVector.h ./Eigen/src/Core/products/GeneralMatrixMatrixTriangular.h ./Eigen/src/Core/products/TriangularSolverMatrix.h ./Eigen/src/Core/products/GeneralMatrixMatrix.h ./Eigen/src/Core/products/SelfadjointProduct.h ./Eigen/src/Core/products/CoeffBasedProduct.h ./Eigen/src/Core/products/TriangularMatrixVector.h ./Eigen/src/Core/products/SelfadjointMatrixMatrix.h ./Eigen/src/Core/products/TriangularSolverVector.h ./Eigen/src/Core/products/SelfadjointRank2Update.h ./Eigen/src/Core/products/GeneralBlockPanelKernel.h ./Eigen/src/Core/products/GeneralMatrixVector.h ./Eigen/src/Core/products/TriangularMatrixMatrix.h ./Eigen/src/Core/Reverse.h ./Eigen/src/Core/BooleanRedux.h ./Eigen/src/Core/Replicate.h ./Eigen/src/Core/arch/AltiVec/PacketMath.h ./Eigen/src/Core/arch/AltiVec/Complex.h ./Eigen/src/Core/arch/SSE/PacketMath.h ./Eigen/src/Core/arch/SSE/Complex.h ./Eigen/src/Core/arch/SSE/MathFunctions.h ./Eigen/src/Core/arch/NEON/PacketMath.h ./Eigen/src/Core/arch/NEON/Complex.h ./Eigen/src/Core/arch/Default/Settings.h ./Eigen/src/Core/CwiseUnaryView.h ./Eigen/src/Core/Array.h ./Eigen/src/Core/ArrayWrapper.h ./Eigen/src/Core/Swap.h ./Eigen/src/Core/Transpositions.h ./Eigen/src/Core/Random.h ./Eigen/src/Core/IO.h ./Eigen/src/Core/SelfCwiseBinaryOp.h ./Eigen/src/Core/VectorwiseOp.h ./Eigen/src/Core/Select.h ./Eigen/src/Core/ArrayBase.h ./Eigen/src/Core/DenseCoeffsBase.h ./Eigen/src/Core/DiagonalProduct.h ./Eigen/src/Core/Assign.h ./Eigen/src/Core/Redux.h ./Eigen/src/Core/ForceAlignedAccess.h ./Eigen/src/Core/BandMatrix.h ./Eigen/src/Core/PlainObjectBase.h ./Eigen/src/Core/DenseBase.h ./Eigen/src/Core/Flagged.h ./Eigen/src/Core/CwiseBinaryOp.h ./Eigen/src/Core/ProductBase.h ./Eigen/src/Core/TriangularMatrix.h ./Eigen/src/Core/Transpose.h ./Eigen/src/Core/DiagonalMatrix.h ./Eigen/src/Core/Dot.h ./Eigen/src/Core/Functors.h ./Eigen/src/Core/PermutationMatrix.h ./Eigen/src/Core/NumTraits.h ./Eigen/src/Core/MatrixBase.h ./Eigen/src/Core/DenseStorage.h ./Eigen/src/Core/util/Memory.h ./Eigen/src/Core/util/StaticAssert.h ./Eigen/src/Core/util/BlasUtil.h ./Eigen/src/Core/util/MatrixMapper.h ./Eigen/src/Core/util/XprHelper.h ./Eigen/src/Core/util/ForwardDeclarations.h ./Eigen/src/Core/util/Meta.h ./Eigen/src/Core/util/Macros.h ./Eigen/src/Core/util/Constants.h ./Eigen/src/Core/CwiseNullaryOp.h ./Eigen/src/Core/Block.h ./Eigen/src/Core/GeneralProduct.h ./Eigen/src/Core/CommaInitializer.h ./Eigen/src/Core/ReturnByValue.h ./Eigen/src/Core/Stride.h ./Eigen/src/SPQRSupport/SuiteSparseQRSupport.h ./Eigen/src/SparseLU/SparseLU_column_dfs.h ./Eigen/src/SparseLU/SparseLU_panel_dfs.h ./Eigen/src/SparseLU/SparseLU_relax_snode.h ./Eigen/src/SparseLU/SparseLU_panel_bmod.h ./Eigen/src/SparseLU/SparseLU_SupernodalMatrix.h ./Eigen/src/SparseLU/SparseLU_Utils.h ./Eigen/src/SparseLU/SparseLU_gemm_kernel.h ./Eigen/src/SparseLU/SparseLU_kernel_bmod.h ./Eigen/src/SparseLU/SparseLU_pivotL.h ./Eigen/src/SparseLU/SparseLU_Memory.h ./Eigen/src/SparseLU/SparseLU_heap_relax_snode.h ./Eigen/src/SparseLU/SparseLUImpl.h ./Eigen/src/SparseLU/SparseLU_copy_to_ucol.h ./Eigen/src/SparseLU/SparseLU_Structs.h ./Eigen/src/SparseLU/SparseLU.h ./Eigen/src/SparseLU/SparseLU_column_bmod.h ./Eigen/src/SparseLU/SparseLU_pruneL.h ./Eigen/src/IterativeLinearSolvers/IncompleteLUT.h ./Eigen/src/IterativeLinearSolvers/BasicPreconditioners.h ./Eigen/src/IterativeLinearSolvers/IterativeSolverBase.h ./Eigen/src/IterativeLinearSolvers/ConjugateGradient.h ./Eigen/src/IterativeLinearSolvers/BiCGSTAB.h ./Eigen/src/SparseCholesky/SimplicialCholesky.h ./Eigen/src/Cholesky/LDLT.h ./Eigen/src/Cholesky/LLT.h ./Eigen/src/CholmodSupport/CholmodSupport.h ./Eigen/src/PaStiXSupport/PaStiXSupport.h ./Eigen/src/MetisSupport/MetisSupport.h ./Eigen/StdVector ./Eigen/Core ./Eigen/OrderingMethods ./Eigen/SparseLU ./Eigen/StdList ./Eigen/StdDeque ./Eigen/SparseCholesky ./Eigen/SparseCore ./scripts/relicense.py ./scripts/relicense.py ./blas/BandTriangularSolver.h ./blas/PackedTriangularMatrixVector.h ./blas/complex_double.cpp ./blas/level2_real_impl.h ./blas/level1_cplx_impl.h ./blas/level1_impl.h ./blas/level1_real_impl.h ./blas/level3_impl.h ./blas/single.cpp ./blas/level2_cplx_impl.h ./blas/PackedSelfadjointProduct.h ./blas/Rank2Update.h ./blas/complex_single.cpp ./blas/PackedTriangularSolverVector.h ./blas/double.cpp ./blas/common.h ./blas/level2_impl.h ./blas/GeneralRank1Update.h Mozilla Public License Version 2.0 ================================== 1. Definitions -------------- 1.1. "Contributor" means each individual or legal entity that creates, contributes to the creation of, or owns Covered Software. 1.2. "Contributor Version" means the combination of the Contributions of others (if any) used by a Contributor and that particular Contributor's Contribution. 1.3. "Contribution" means Covered Software of a particular Contributor. 1.4. "Covered Software" means Source Code Form to which the initial Contributor has attached the notice in Exhibit A, the Executable Form of such Source Code Form, and Modifications of such Source Code Form, in each case including portions thereof. 1.5. "Incompatible With Secondary Licenses" means (a) that the initial Contributor has attached the notice described in Exhibit B to the Covered Software; or (b) that the Covered Software was made available under the terms of version 1.1 or earlier of the License, but not also under the terms of a Secondary License. 1.6. "Executable Form" means any form of the work other than Source Code Form. 1.7. "Larger Work" means a work that combines Covered Software with other material, in a separate file or files, that is not Covered Software. 1.8. "License" means this document. 1.9. "Licensable" means having the right to grant, to the maximum extent possible, whether at the time of the initial grant or subsequently, any and all of the rights conveyed by this License. 1.10. "Modifications" means any of the following: (a) any file in Source Code Form that results from an addition to, deletion from, or modification of the contents of Covered Software; or (b) any new file in Source Code Form that contains any Covered Software. 1.11. "Patent Claims" of a Contributor means any patent claim(s), including without limitation, method, process, and apparatus claims, in any patent Licensable by such Contributor that would be infringed, but for the grant of the License, by the making, using, selling, offering for sale, having made, import, or transfer of either its Contributions or its Contributor Version. 1.12. "Secondary License" means either the GNU General Public License, Version 2.0, the GNU Lesser General Public License, Version 2.1, the GNU Affero General Public License, Version 3.0, or any later versions of those licenses. 1.13. "Source Code Form" means the form of the work preferred for making modifications. 1.14. "You" (or "Your") means an individual or a legal entity exercising rights under this License. For legal entities, "You" includes any entity that controls, is controlled by, or is under common control with You. For purposes of this definition, "control" means (a) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (b) ownership of more than fifty percent (50%) of the outstanding shares or beneficial ownership of such entity. 2. License Grants and Conditions -------------------------------- 2.1. Grants Each Contributor hereby grants You a world-wide, royalty-free, non-exclusive license: (a) under intellectual property rights (other than patent or trademark) Licensable by such Contributor to use, reproduce, make available, modify, display, perform, distribute, and otherwise exploit its Contributions, either on an unmodified basis, with Modifications, or as part of a Larger Work; and (b) under Patent Claims of such Contributor to make, use, sell, offer for sale, have made, import, and otherwise transfer either its Contributions or its Contributor Version. 2.2. Effective Date The licenses granted in Section 2.1 with respect to any Contribution become effective for each Contribution on the date the Contributor first distributes such Contribution. 2.3. Limitations on Grant Scope The licenses granted in this Section 2 are the only rights granted under this License. No additional rights or licenses will be implied from the distribution or licensing of Covered Software under this License. Notwithstanding Section 2.1(b) above, no patent license is granted by a Contributor: (a) for any code that a Contributor has removed from Covered Software; or (b) for infringements caused by: (i) Your and any other third party's modifications of Covered Software, or (ii) the combination of its Contributions with other software (except as part of its Contributor Version); or (c) under Patent Claims infringed by Covered Software in the absence of its Contributions. This License does not grant any rights in the trademarks, service marks, or logos of any Contributor (except as may be necessary to comply with the notice requirements in Section 3.4). 2.4. Subsequent Licenses No Contributor makes additional grants as a result of Your choice to distribute the Covered Software under a subsequent version of this License (see Section 10.2) or under the terms of a Secondary License (if permitted under the terms of Section 3.3). 2.5. Representation Each Contributor represents that the Contributor believes its Contributions are its original creation(s) or it has sufficient rights to grant the rights to its Contributions conveyed by this License. 2.6. Fair Use This License is not intended to limit any rights You have under applicable copyright doctrines of fair use, fair dealing, or other equivalents. 2.7. Conditions Sections 3.1, 3.2, 3.3, and 3.4 are conditions of the licenses granted in Section 2.1. 3. Responsibilities ------------------- 3.1. Distribution of Source Form All distribution of Covered Software in Source Code Form, including any Modifications that You create or to which You contribute, must be under the terms of this License. You must inform recipients that the Source Code Form of the Covered Software is governed by the terms of this License, and how they can obtain a copy of this License. You may not attempt to alter or restrict the recipients' rights in the Source Code Form. 3.2. Distribution of Executable Form If You distribute Covered Software in Executable Form then: (a) such Covered Software must also be made available in Source Code Form, as described in Section 3.1, and You must inform recipients of the Executable Form how they can obtain a copy of such Source Code Form by reasonable means in a timely manner, at a charge no more than the cost of distribution to the recipient; and (b) You may distribute such Executable Form under the terms of this License, or sublicense it under different terms, provided that the license for the Executable Form does not attempt to limit or alter the recipients' rights in the Source Code Form under this License. 3.3. Distribution of a Larger Work You may create and distribute a Larger Work under terms of Your choice, provided that You also comply with the requirements of this License for the Covered Software. If the Larger Work is a combination of Covered Software with a work governed by one or more Secondary Licenses, and the Covered Software is not Incompatible With Secondary Licenses, this License permits You to additionally distribute such Covered Software under the terms of such Secondary License(s), so that the recipient of the Larger Work may, at their option, further distribute the Covered Software under the terms of either this License or such Secondary License(s). 3.4. Notices You may not remove or alter the substance of any license notices (including copyright notices, patent notices, disclaimers of warranty, or limitations of liability) contained within the Source Code Form of the Covered Software, except that You may alter any license notices to the extent required to remedy known factual inaccuracies. 3.5. Application of Additional Terms You may choose to offer, and to charge a fee for, warranty, support, indemnity or liability obligations to one or more recipients of Covered Software. However, You may do so only on Your own behalf, and not on behalf of any Contributor. You must make it absolutely clear that any such warranty, support, indemnity, or liability obligation is offered by You alone, and You hereby agree to indemnify every Contributor for any liability incurred by such Contributor as a result of warranty, support, indemnity or liability terms You offer. You may include additional disclaimers of warranty and limitations of liability specific to any jurisdiction. 4. Inability to Comply Due to Statute or Regulation --------------------------------------------------- If it is impossible for You to comply with any of the terms of this License with respect to some or all of the Covered Software due to statute, judicial order, or regulation then You must: (a) comply with the terms of this License to the maximum extent possible; and (b) describe the limitations and the code they affect. Such description must be placed in a text file included with all distributions of the Covered Software under this License. Except to the extent prohibited by statute or regulation, such description must be sufficiently detailed for a recipient of ordinary skill to be able to understand it. 5. Termination -------------- 5.1. The rights granted under this License will terminate automatically if You fail to comply with any of its terms. However, if You become compliant, then the rights granted under this License from a particular Contributor are reinstated (a) provisionally, unless and until such Contributor explicitly and finally terminates Your grants, and (b) on an ongoing basis, if such Contributor fails to notify You of the non-compliance by some reasonable means prior to 60 days after You have come back into compliance. Moreover, Your grants from a particular Contributor are reinstated on an ongoing basis if such Contributor notifies You of the non-compliance by some reasonable means, this is the first time You have received notice of non-compliance with this License from such Contributor, and You become compliant prior to 30 days after Your receipt of the notice. 5.2. If You initiate litigation against any entity by asserting a patent infringement claim (excluding declaratory judgment actions, counter-claims, and cross-claims) alleging that a Contributor Version directly or indirectly infringes any patent, then the rights granted to You by any and all Contributors for the Covered Software under Section 2.1 of this License shall terminate. 5.3. In the event of termination under Sections 5.1 or 5.2 above, all end user license agreements (excluding distributors and resellers) which have been validly granted by You or Your distributors under this License prior to termination shall survive termination. ************************************************************************ * * * 6. Disclaimer of Warranty * * ------------------------- * * * * Covered Software is provided under this License on an "as is" * * basis, without warranty of any kind, either expressed, implied, or * * statutory, including, without limitation, warranties that the * * Covered Software is free of defects, merchantable, fit for a * * particular purpose or non-infringing. The entire risk as to the * * quality and performance of the Covered Software is with You. * * Should any Covered Software prove defective in any respect, You * * (not any Contributor) assume the cost of any necessary servicing, * * repair, or correction. This disclaimer of warranty constitutes an * * essential part of this License. No use of any Covered Software is * * authorized under this License except under this disclaimer. * * * ************************************************************************ ************************************************************************ * * * 7. Limitation of Liability * * -------------------------- * * * * Under no circumstances and under no legal theory, whether tort * * (including negligence), contract, or otherwise, shall any * * Contributor, or anyone who distributes Covered Software as * * permitted above, be liable to You for any direct, indirect, * * special, incidental, or consequential damages of any character * * including, without limitation, damages for lost profits, loss of * * goodwill, work stoppage, computer failure or malfunction, or any * * and all other commercial damages or losses, even if such party * * shall have been informed of the possibility of such damages. This * * limitation of liability shall not apply to liability for death or * * personal injury resulting from such party's negligence to the * * extent applicable law prohibits such limitation. Some * * jurisdictions do not allow the exclusion or limitation of * * incidental or consequential damages, so this exclusion and * * limitation may not apply to You. * * * ************************************************************************ 8. Litigation ------------- Any litigation relating to this License may be brought only in the courts of a jurisdiction where the defendant maintains its principal place of business and such litigation shall be governed by laws of that jurisdiction, without reference to its conflict-of-law provisions. Nothing in this Section shall prevent a party's ability to bring cross-claims or counter-claims. 9. Miscellaneous ---------------- This License represents the complete agreement concerning the subject matter hereof. If any provision of this License is held to be unenforceable, such provision shall be reformed only to the extent necessary to make it enforceable. Any law or regulation which provides that the language of a contract shall be construed against the drafter shall not be used to construe this License against a Contributor. 10. Versions of the License --------------------------- 10.1. New Versions Mozilla Foundation is the license steward. Except as provided in Section 10.3, no one other than the license steward has the right to modify or publish new versions of this License. Each version will be given a distinguishing version number. 10.2. Effect of New Versions You may distribute the Covered Software under the terms of the version of the License under which You originally received the Covered Software, or under the terms of any subsequent version published by the license steward. 10.3. Modified Versions If you create software not governed by this License, and you want to create a new license for such software, you may create and use a modified version of this License if you rename the license and remove any references to the name of the license steward (except to note that such modified license differs from this License). 10.4. Distributing Source Code Form that is Incompatible With Secondary Licenses If You choose to distribute Source Code Form that is Incompatible With Secondary Licenses under the terms of this version of the License, the notice described in Exhibit B of this License must be attached. Exhibit A - Source Code Form License Notice ------------------------------------------- This Source Code Form is subject to the terms of the Mozilla Public License, v. 2.0. If a copy of the MPL was not distributed with this file, You can obtain one at http://mozilla.org/MPL/2.0/. If it is not possible or desirable to put the notice in a particular file, then You may include the notice in a location (such as a LICENSE file in a relevant directory) where a recipient would be likely to look for such a notice. You may add additional accurate notices of copyright ownership. Exhibit B - "Incompatible With Secondary Licenses" Notice --------------------------------------------------------- This Source Code Form is "Incompatible With Secondary Licenses", as defined by the Mozilla Public License, v. 2.0. ---------------------------------------------------------------------- Following applies to: ./doc/UsingIntelMKL.dox ./doc/UsingIntelMKL.dox ./Eigen/src/Eigenvalues/ComplexSchur_MKL.h ./Eigen/src/Eigenvalues/ComplexSchur_MKL.h ./Eigen/src/Eigenvalues/SelfAdjointEigenSolver_MKL.h ./Eigen/src/Eigenvalues/SelfAdjointEigenSolver_MKL.h ./Eigen/src/Eigenvalues/RealSchur_MKL.h ./Eigen/src/Eigenvalues/RealSchur_MKL.h ./Eigen/src/LU/arch/Inverse_SSE.h ./Eigen/src/LU/arch/Inverse_SSE.h ./Eigen/src/LU/PartialPivLU_MKL.h ./Eigen/src/LU/PartialPivLU_MKL.h ./Eigen/src/QR/HouseholderQR_MKL.h ./Eigen/src/QR/HouseholderQR_MKL.h ./Eigen/src/QR/ColPivHouseholderQR_MKL.h ./Eigen/src/QR/ColPivHouseholderQR_MKL.h ./Eigen/src/SVD/JacobiSVD_MKL.h ./Eigen/src/SVD/JacobiSVD_MKL.h ./Eigen/src/PardisoSupport/PardisoSupport.h ./Eigen/src/PardisoSupport/PardisoSupport.h ./Eigen/src/Core/Assign_MKL.h ./Eigen/src/Core/Assign_MKL.h ./Eigen/src/Core/products/SelfadjointMatrixVector_MKL.h ./Eigen/src/Core/products/SelfadjointMatrixVector_MKL.h ./Eigen/src/Core/products/GeneralMatrixVector_MKL.h ./Eigen/src/Core/products/GeneralMatrixVector_MKL.h ./Eigen/src/Core/products/SelfadjointMatrixMatrix_MKL.h ./Eigen/src/Core/products/SelfadjointMatrixMatrix_MKL.h ./Eigen/src/Core/products/TriangularMatrixMatrix_MKL.h ./Eigen/src/Core/products/TriangularMatrixMatrix_MKL.h ./Eigen/src/Core/products/GeneralMatrixMatrix_MKL.h ./Eigen/src/Core/products/GeneralMatrixMatrix_MKL.h ./Eigen/src/Core/products/TriangularMatrixVector_MKL.h ./Eigen/src/Core/products/TriangularMatrixVector_MKL.h ./Eigen/src/Core/products/GeneralMatrixMatrixTriangular_MKL.h ./Eigen/src/Core/products/GeneralMatrixMatrixTriangular_MKL.h ./Eigen/src/Core/products/TriangularSolverMatrix_MKL.h ./Eigen/src/Core/products/TriangularSolverMatrix_MKL.h ./Eigen/src/Core/util/MKL_support.h ./Eigen/src/Core/util/MKL_support.h ./Eigen/src/Cholesky/LLT_MKL.h ./Eigen/src/Cholesky/LLT_MKL.h /* Copyright (c) 2011, Intel Corporation. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of Intel Corporation nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ ---------------------------------------------------------------------- Following applies to: ./unsupported/Eigen/src/LevenbergMarquardt/LevenbergMarquardt.h ./unsupported/Eigen/src/LevenbergMarquardt/LMcovar.h ./unsupported/Eigen/src/LevenbergMarquardt/LMonestep.h ./unsupported/Eigen/src/LevenbergMarquardt/LMpar.h ./unsupported/Eigen/src/LevenbergMarquardt/LMqrsolv.h Minpack Copyright Notice (1999) University of Chicago. All rights reserved Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: 1. Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. 2. Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. 3. The end-user documentation included with the redistribution, if any, must include the following acknowledgment: "This product includes software developed by the University of Chicago, as Operator of Argonne National Laboratory. Alternately, this acknowledgment may appear in the software itself, if and wherever such third-party acknowledgments normally appear. 4. WARRANTY DISCLAIMER. THE SOFTWARE IS SUPPLIED "AS IS" WITHOUT WARRANTY OF ANY KIND. THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, AND THEIR EMPLOYEES: (1) DISCLAIM ANY WARRANTIES, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO ANY IMPLIED WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, TITLE OR NON-INFRINGEMENT, (2) DO NOT ASSUME ANY LEGAL LIABILITY OR RESPONSIBILITY FOR THE ACCURACY, COMPLETENESS, OR USEFULNESS OF THE SOFTWARE, (3) DO NOT REPRESENT THAT USE OF THE SOFTWARE WOULD NOT INFRINGE PRIVATELY OWNED RIGHTS, (4) DO NOT WARRANT THAT THE SOFTWARE WILL FUNCTION UNINTERRUPTED, THAT IT IS ERROR-FREE OR THAT ANY ERRORS WILL BE CORRECTED. 5. LIMITATION OF LIABILITY. IN NO EVENT WILL THE COPYRIGHT HOLDER, THE UNITED STATES, THE UNITED STATES DEPARTMENT OF ENERGY, OR THEIR EMPLOYEES: BE LIABLE FOR ANY INDIRECT, INCIDENTAL, CONSEQUENTIAL, SPECIAL OR PUNITIVE DAMAGES OF ANY KIND OR NATURE, INCLUDING BUT NOT LIMITED TO LOSS OF PROFITS OR LOSS OF DATA, FOR ANY REASON WHATSOEVER, WHETHER SUCH LIABILITY IS ASSERTED ON THE BASIS OF CONTRACT, TORT (INCLUDING NEGLIGENCE OR STRICT LIABILITY), OR OTHERWISE, EVEN IF ANY OF SAID PARTIES HAS BEEN WARNED OF THE POSSIBILITY OF SUCH LOSS OR DAMAGES. ===== org_tensorflow/third_party/xla/third_party/gpus/crosstool/LICENSE ===== Copyright 2015 The TensorFlow Authors. All rights reserved. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright 2015, The TensorFlow Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/third_party/gpus/cuda/LICENSE ===== Copyright 2015 The TensorFlow Authors. All rights reserved. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright 2015, The TensorFlow Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/third_party/mkl_dnn/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "{}" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright {yyyy} {name of copyright owner} Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/third_party/nccl/LICENSE ===== Copyright (c) 2015-2018, NVIDIA CORPORATION. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of NVIDIA CORPORATION, Lawrence Berkeley National Laboratory, the U.S. Department of Energy, nor the names of their contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. The U.S. Department of Energy funded the development of this software under subcontract 7078610 with Lawrence Berkeley National Laboratory. ===== org_tensorflow/third_party/xla/third_party/nvtx/LICENSE ===== Copyright 2009-2022 NVIDIA Corporation. All rights reserved. Licensed under the Apache License v2.0 with LLVM Exceptions. See https://llvm.org/LICENSE.txt for license information. SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception ===== org_tensorflow/third_party/xla/third_party/py/numpy/LICENSE ===== Copyright (c) 2005-2019, NumPy Developers. All rights reserved. Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met: * Redistributions of source code must retain the above copyright notice, this list of conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution. * Neither the name of the NumPy Developers nor the names of any contributors may be used to endorse or promote products derived from this software without specific prior written permission. THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. The NumPy repository and source distributions bundle several libraries that are compatibly licensed. We list these here. Name: Numpydoc Files: doc/sphinxext/numpydoc/* License: 2-clause BSD For details, see doc/sphinxext/LICENSE.txt Name: scipy-sphinx-theme Files: doc/scipy-sphinx-theme/* License: 3-clause BSD, PSF and Apache 2.0 For details, see doc/scipy-sphinx-theme/LICENSE.txt Name: lapack-lite Files: numpy/linalg/lapack_lite/* License: 3-clause BSD For details, see numpy/linalg/lapack_lite/LICENSE.txt Name: tempita Files: tools/npy_tempita/* License: BSD derived For details, see tools/npy_tempita/license.txt Name: dragon4 Files: numpy/core/src/multiarray/dragon4.c License: One of a kind For license text, see numpy/core/src/multiarray/dragon4.c ===== org_tensorflow/third_party/xla/third_party/tensorrt/LICENSE ===== Copyright 2018 The TensorFlow Authors. All rights reserved. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright 2018, The TensorFlow Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/third_party/tsl/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright [yyyy] [name of copyright owner] Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow/third_party/xla/xla/tsl/mkl/LICENSE ===== Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "{}" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright {yyyy} {name of copyright owner} Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow_text/LICENSE ===== Copyright 2018 The TensorFlow Authors. All rights reserved. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright 2017, The TensorFlow Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== org_tensorflow_text/oss_scripts/pip_package/LICENSE ===== Copyright 2018 The TensorFlow Authors. All rights reserved. Apache License Version 2.0, January 2004 http://www.apache.org/licenses/ TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION 1. Definitions. "License" shall mean the terms and conditions for use, reproduction, and distribution as defined by Sections 1 through 9 of this document. "Licensor" shall mean the copyright owner or entity authorized by the copyright owner that is granting the License. "Legal Entity" shall mean the union of the acting entity and all other entities that control, are controlled by, or are under common control with that entity. For the purposes of this definition, "control" means (i) the power, direct or indirect, to cause the direction or management of such entity, whether by contract or otherwise, or (ii) ownership of fifty percent (50%) or more of the outstanding shares, or (iii) beneficial ownership of such entity. "You" (or "Your") shall mean an individual or Legal Entity exercising permissions granted by this License. "Source" form shall mean the preferred form for making modifications, including but not limited to software source code, documentation source, and configuration files. "Object" form shall mean any form resulting from mechanical transformation or translation of a Source form, including but not limited to compiled object code, generated documentation, and conversions to other media types. "Work" shall mean the work of authorship, whether in Source or Object form, made available under the License, as indicated by a copyright notice that is included in or attached to the work (an example is provided in the Appendix below). "Derivative Works" shall mean any work, whether in Source or Object form, that is based on (or derived from) the Work and for which the editorial revisions, annotations, elaborations, or other modifications represent, as a whole, an original work of authorship. For the purposes of this License, Derivative Works shall not include works that remain separable from, or merely link (or bind by name) to the interfaces of, the Work and Derivative Works thereof. "Contribution" shall mean any work of authorship, including the original version of the Work and any modifications or additions to that Work or Derivative Works thereof, that is intentionally submitted to Licensor for inclusion in the Work by the copyright owner or by an individual or Legal Entity authorized to submit on behalf of the copyright owner. For the purposes of this definition, "submitted" means any form of electronic, verbal, or written communication sent to the Licensor or its representatives, including but not limited to communication on electronic mailing lists, source code control systems, and issue tracking systems that are managed by, or on behalf of, the Licensor for the purpose of discussing and improving the Work, but excluding communication that is conspicuously marked or otherwise designated in writing by the copyright owner as "Not a Contribution." "Contributor" shall mean Licensor and any individual or Legal Entity on behalf of whom a Contribution has been received by Licensor and subsequently incorporated within the Work. 2. Grant of Copyright License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable copyright license to reproduce, prepare Derivative Works of, publicly display, publicly perform, sublicense, and distribute the Work and such Derivative Works in Source or Object form. 3. Grant of Patent License. Subject to the terms and conditions of this License, each Contributor hereby grants to You a perpetual, worldwide, non-exclusive, no-charge, royalty-free, irrevocable (except as stated in this section) patent license to make, have made, use, offer to sell, sell, import, and otherwise transfer the Work, where such license applies only to those patent claims licensable by such Contributor that are necessarily infringed by their Contribution(s) alone or by combination of their Contribution(s) with the Work to which such Contribution(s) was submitted. If You institute patent litigation against any entity (including a cross-claim or counterclaim in a lawsuit) alleging that the Work or a Contribution incorporated within the Work constitutes direct or contributory patent infringement, then any patent licenses granted to You under this License for that Work shall terminate as of the date such litigation is filed. 4. Redistribution. You may reproduce and distribute copies of the Work or Derivative Works thereof in any medium, with or without modifications, and in Source or Object form, provided that You meet the following conditions: (a) You must give any other recipients of the Work or Derivative Works a copy of this License; and (b) You must cause any modified files to carry prominent notices stating that You changed the files; and (c) You must retain, in the Source form of any Derivative Works that You distribute, all copyright, patent, trademark, and attribution notices from the Source form of the Work, excluding those notices that do not pertain to any part of the Derivative Works; and (d) If the Work includes a "NOTICE" text file as part of its distribution, then any Derivative Works that You distribute must include a readable copy of the attribution notices contained within such NOTICE file, excluding those notices that do not pertain to any part of the Derivative Works, in at least one of the following places: within a NOTICE text file distributed as part of the Derivative Works; within the Source form or documentation, if provided along with the Derivative Works; or, within a display generated by the Derivative Works, if and wherever such third-party notices normally appear. The contents of the NOTICE file are for informational purposes only and do not modify the License. You may add Your own attribution notices within Derivative Works that You distribute, alongside or as an addendum to the NOTICE text from the Work, provided that such additional attribution notices cannot be construed as modifying the License. You may add Your own copyright statement to Your modifications and may provide additional or different license terms and conditions for use, reproduction, or distribution of Your modifications, or for any such Derivative Works as a whole, provided Your use, reproduction, and distribution of the Work otherwise complies with the conditions stated in this License. 5. Submission of Contributions. Unless You explicitly state otherwise, any Contribution intentionally submitted for inclusion in the Work by You to the Licensor shall be under the terms and conditions of this License, without any additional terms or conditions. Notwithstanding the above, nothing herein shall supersede or modify the terms of any separate license agreement you may have executed with Licensor regarding such Contributions. 6. Trademarks. This License does not grant permission to use the trade names, trademarks, service marks, or product names of the Licensor, except as required for reasonable and customary use in describing the origin of the Work and reproducing the content of the NOTICE file. 7. Disclaimer of Warranty. Unless required by applicable law or agreed to in writing, Licensor provides the Work (and each Contributor provides its Contributions) on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied, including, without limitation, any warranties or conditions of TITLE, NON-INFRINGEMENT, MERCHANTABILITY, or FITNESS FOR A PARTICULAR PURPOSE. You are solely responsible for determining the appropriateness of using or redistributing the Work and assume any risks associated with Your exercise of permissions under this License. 8. Limitation of Liability. In no event and under no legal theory, whether in tort (including negligence), contract, or otherwise, unless required by applicable law (such as deliberate and grossly negligent acts) or agreed to in writing, shall any Contributor be liable to You for damages, including any direct, indirect, special, incidental, or consequential damages of any character arising as a result of this License or out of the use or inability to use the Work (including but not limited to damages for loss of goodwill, work stoppage, computer failure or malfunction, or any and all other commercial damages or losses), even if such Contributor has been advised of the possibility of such damages. 9. Accepting Warranty or Additional Liability. While redistributing the Work or Derivative Works thereof, You may choose to offer, and charge a fee for, acceptance of support, warranty, indemnity, or other liability obligations and/or rights consistent with this License. However, in accepting such obligations, You may act only on Your own behalf and on Your sole responsibility, not on behalf of any other Contributor, and only if You agree to indemnify, defend, and hold each Contributor harmless for any liability incurred by, or claims asserted against, such Contributor by reason of your accepting any such warranty or additional liability. END OF TERMS AND CONDITIONS APPENDIX: How to apply the Apache License to your work. To apply the Apache License to your work, attach the following boilerplate notice, with the fields enclosed by brackets "[]" replaced with your own identifying information. (Don't include the brackets!) The text should be enclosed in the appropriate comment syntax for the file format. We also recommend that a file or class name and description of purpose be included on the same "printed page" as the copyright notice for easier identification within third-party archives. Copyright 2017, The TensorFlow Authors. Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at http://www.apache.org/licenses/LICENSE-2.0 Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License. ===== pffft/README.md ===== PFFFT: a pretty fast FFT. ## TL;DR PFFFT does 1D Fast Fourier Transforms, of single precision real and complex vectors. It tries do it fast, it tries to be correct, and it tries to be small. Computations do take advantage of SSE1 instructions on x86 cpus, Altivec on powerpc cpus, and NEON on ARM cpus. The license is BSD-like. ## Why does it exist: I was in search of a good performing FFT library , preferably very small and with a very liberal license. When one says "fft library", FFTW ("Fastest Fourier Transform in the West") is probably the first name that comes to mind -- I guess that 99% of open-source projects that need a FFT do use FFTW, and are happy with it. However, it is quite a large library , which does everything fft related (2d transforms, 3d transforms, other transformations such as discrete cosine , or fast hartley). And it is licensed under the GNU GPL , which means that it cannot be used in non open-source products. An alternative to FFTW that is really small, is the venerable FFTPACK v4, which is available on NETLIB. A more recent version (v5) exists, but it is larger as it deals with multi-dimensional transforms. This is a library that is written in FORTRAN 77, a language that is now considered as a bit antiquated by many. FFTPACKv4 was written in 1985, by Dr Paul Swarztrauber of NCAR, more than 25 years ago ! And despite its age, benchmarks show it that it still a very good performing FFT library, see for example the 1d single precision benchmarks here: http://www.fftw.org/speed/opteron-2.2GHz-32bit/ . It is however not competitive with the fastest ones, such as FFTW, Intel MKL, AMD ACML, Apple vDSP. The reason for that is that those libraries do take advantage of the SSE SIMD instructions available on Intel CPUs, available since the days of the Pentium III. These instructions deal with small vectors of 4 floats at a time, instead of a single float for a traditionnal FPU, so when using these instructions one may expect a 4-fold performance improvement. The idea was to take this fortran fftpack v4 code, translate to C, modify it to deal with those SSE instructions, and check that the final performance is not completely ridiculous when compared to other SIMD FFT libraries. Translation to C was performed with f2c ( http://www.netlib.org/f2c/ ). The resulting file was a bit edited in order to remove the thousands of gotos that were introduced by f2c. You will find the fftpack.h and fftpack.c sources in the repository, this a complete translation of http://www.netlib.org/fftpack/ , with the discrete cosine transform and the test program. There is no license information in the netlib repository, but it was confirmed to me by the fftpack v5 curators that the same terms do apply to fftpack v4: http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html . This is a "BSD-like" license, it is compatible with proprietary projects. Adapting fftpack to deal with the SIMD 4-element vectors instead of scalar single precision numbers was more complex than I originally thought, especially with the real transforms, and I ended up writing more code than I planned.. ## The code: Only two files, in good old C, pffft.c and pffft.h . The API is very very simple, just make sure that you read the comments in pffft.h. ## Comparison with other FFTs: The idea was not to break speed records, but to get a decently fast fft that is at least 50% as fast as the fastest FFT -- especially on slowest computers . I'm more focused on getting the best performance on slow cpus (Atom, Intel Core 1, old Athlons, ARM Cortex-A9...), than on getting top performance on today fastest cpus. It can be used in a real-time context as the fft functions do not perform any memory allocation -- that is why they accept a 'work' array in their arguments. It is also a bit focused on performing 1D convolutions, that is why it provides "unordered" FFTs , and a fourier domain convolution operation. Benchmark results -- The benchmark shows the performance of various fft implementations measured in MFlops, with the number of floating point operations being defined as 5Nlog2(N) for a length N complex fft, and 2.5*Nlog2(N) for a real fft. See http://www.fftw.org/speed/method.html for an explanation of these formulas. 2021 update: I'm now including Intel MKL, and I'm removing old benchmarks results for cpu that have not been relevant for a very long time.. Now that most Intel cpus have AVX enabled (most but not all, Intel is still selling cpus with no AVX), the performance of pffft vs MKL or VDSP is a bit behind since pffft is only SSE2. However, performance of pffft on the Apple M1 cpu is very good (especially for the real fft), so I'll put it first :-) MacOS Big Sur, XCode 12, M1 cpu on a 2020 mac mini. I'm not including fftw results as they are very bad here, most likely Homebrew did not enable neon when building the lib. clang -o test_pffft -DHAVE_VECLIB -O3 -Wall -W pffft.c test_pffft.c fftpack.c -framework Accelerate | input len |real FFTPack| real vDSP | real PFFFT |cplx FFTPack| cplx vDSP | cplx PFFFT | |-----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 4835 | 15687 | 23704 | 12935 | 36222 | 33046 | | 96 | 9539 | n/a | 25957 | 11068 | n/a | 32703 | | 128 | 11119 | 33087 | 30143 | 12329 | 50866 | 36363 | | 160 | 11062 | n/a | 32938 | 11641 | n/a | 34945 | | 192 | 11784 | n/a | 35726 | 12945 | n/a | 39258 | | 256 | 13370 | 44880 | 40683 | 14214 | 64654 | 42522 | | 384 | 11059 | n/a | 40038 | 11655 | n/a | 39565 | | 480 | 10977 | n/a | 40895 | 10802 | n/a | 36943 | | 512 | 12197 | 34830 | 43353 | 12357 | 78441 | 41450 | | 640 | 11685 | n/a | 43393 | 11775 | n/a | 39302 | | 768 | 12314 | n/a | 45836 | 12756 | n/a | 43058 | | 800 | 11213 | n/a | 41321 | 10842 | n/a | 37382 | | 1024 | 13354 | 45214 | 50039 | 13759 | 93269 | 45210 | | 2048 | 12806 | 57047 | 49519 | 12908 | 99361 | 43719 | | 2400 | 10972 | n/a | 43399 | 10928 | n/a | 37574 | | 4096 | 13957 | 65233 | 52845 | 13851 | 105734 | 46274 | | 8192 | 12772 | 70108 | 49830 | 12560 | 85238 | 40252 | | 9216 | 12281 | n/a | 48929 | 12114 | n/a | 39202 | | 16384 | 13363 | 62150 | 48260 | 12910 | 79073 | 38742 | | 32768 | 11622 | 60809 | 32801 | 11145 | 71570 | 35607 | | 262144 | 11525 | 53651 | 34988 | 10818 | 63198 | 36742 | | 1048576 | 11167 | 46119 | 34437 | 9202 | 38823 | 31788 | So yes, the perf of the M1 cpu on the complex is really impressive... Windows 10, Ryzen 7 4800HS @ 2.9GHz, Visual c++ 2019 and Intel MKL 2018 Build with: cl /Ox -D_USE_MATH_DEFINES -DHAVE_MKL /arch:SSE test_pffft.c pffft.c fftpack.c /I c:/MKL/include c:/MKL/lib/intel64/mkl_intel_lp64.lib c:/MKL/lib/intel64/mkl_sequential.lib c:/MKL/lib/intel64/mkl_core.lib | input len |real FFTPack| real MKL | real PFFFT |cplx FFTPack| cplx MKL | cplx PFFFT | |-----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 3938 | 7877 | 14629 | 7314 | 25600 | 19200 | | 96 | 5108 | 14984 | 13761 | 7329 | 20128 | 20748 | | 128 | 5973 | 18379 | 19911 | 7626 | 29257 | 23123 | | 160 | 6694 | 18287 | 19731 | 7976 | 22720 | 21120 | | 192 | 6472 | 16525 | 20439 | 6813 | 27252 | 25054 | | 256 | 7585 | 23406 | 25600 | 8715 | 33437 | 26006 | | 384 | 6279 | 21441 | 23759 | 7206 | 25855 | 25481 | | 480 | 6514 | 20267 | 22800 | 7238 | 26435 | 21976 | | 512 | 6776 | 26332 | 29729 | 6312 | 34777 | 25961 | | 640 | 7019 | 21695 | 27273 | 7232 | 26889 | 25120 | | 768 | 6815 | 21809 | 28865 | 7667 | 31658 | 27645 | | 800 | 7261 | 23513 | 25988 | 6764 | 27056 | 25001 | | 1024 | 7529 | 30118 | 31030 | 8127 | 38641 | 28055 | | 2048 | 7411 | 31289 | 33129 | 8533 | 38841 | 27812 | | 2400 | 7768 | 22993 | 26128 | 7563 | 26429 | 24992 | | 4096 | 8533 | 33211 | 34134 | 8777 | 38400 | 27007 | | 8192 | 6525 | 32468 | 30254 | 7924 | 39737 | 28025 | | 9216 | 7322 | 22835 | 28068 | 7322 | 29939 | 26945 | | 16384 | 7455 | 31807 | 30453 | 8132 | 37177 | 27525 | | 32768 | 8157 | 31949 | 30671 | 8334 | 29210 | 26214 | | 262144 | 7349 | 25255 | 24904 | 6844 | 22413 | 16996 | | 1048576 | 5115 | 19284 | 8347 | 6079 | 12906 | 9244 | (Note: MKL is not using AVX on AMD cpus) MacOS Catalina, Xcode 12, fftw 3.3.9 and MKL 2020.1, cpu is "i7-6920HQ CPU @ 2.90GHz" Built with: clang -o test_pffft -DHAVE_MKL -I /opt/intel/mkl/include -DHAVE_FFTW -DHAVE_VECLIB -O3 -Wall -W pffft.c test_pffft.c fftpack.c -L/usr/local/lib -I/usr/local/include/ -lfftw3f -framework Accelerate /opt/intel/mkl/lib/libmkl_{intel_lp64,sequential,core}. | input len |real FFTPack| real vDSP | real MKL | real FFTW | real PFFFT |cplx FFTPack| cplx vDSP | cplx MKL | cplx FFTW | cplx PFFFT | |------------|------------|------------|------------|------------|------------|------------|------------|------------|------------|------------| | 64 | 4528 | 12550 | 18214 | 8237 | 10097 | 5962 | 25748 | 40865 | 32233 | 15807 | | 96 | 4738 | n/a | 15844 | 10749 | 11026 | 5344 | n/a | 21086 | 34678 | 15493 | | 128 | 5464 | 20419 | 25739 | 12371 | 13338 | 6060 | 28659 | 42419 | 38868 | 17694 | | 160 | 5517 | n/a | 18644 | 12361 | 13765 | 6002 | n/a | 21633 | 37726 | 17969 | | 192 | 5904 | n/a | 18861 | 12480 | 15134 | 6271 | n/a | 26074 | 33216 | 18525 | | 256 | 6618 | 24944 | 26063 | 14646 | 16895 | 6965 | 34332 | 52182 | 44496 | 20980 | | 384 | 5685 | n/a | 22307 | 14682 | 16969 | 5853 | n/a | 27363 | 35805 | 19841 | | 480 | 5757 | n/a | 21122 | 14572 | 16765 | 5836 | n/a | 26259 | 26340 | 18852 | | 512 | 6245 | 28100 | 27224 | 16546 | 18502 | 6240 | 37098 | 51679 | 43444 | 21519 | | 640 | 6110 | n/a | 22565 | 14691 | 18573 | 6376 | n/a | 29219 | 34327 | 20708 | | 768 | 6424 | n/a | 21496 | 15999 | 19900 | 6358 | n/a | 30168 | 36437 | 21657 | | 800 | 5747 | n/a | 24857 | 15068 | 18842 | 5698 | n/a | 26891 | 20249 | 18497 | | 1024 | 6397 | 28477 | 27520 | 13399 | 18491 | 5558 | 33632 | 44366 | 35960 | 23421 | | 2048 | 6563 | 37379 | 34743 | 14204 | 20854 | 5828 | 41758 | 40301 | 36469 | 18504 | | 2400 | 5594 | n/a | 24631 | 15496 | 16732 | 4128 | n/a | 16997 | 23421 | 16710 | | 4096 | 6262 | 36417 | 28150 | 17742 | 19356 | 6272 | 33534 | 31632 | 33524 | 16995 | | 8192 | 4142 | 24923 | 26571 | 17102 | 10104 | 5681 | 29504 | 33221 | 21803 | 15212 | | 9216 | 5762 | n/a | 17305 | 14870 | 14464 | 5781 | n/a | 21579 | 22174 | 17358 | | 16384 | 5650 | 29395 | 27201 | 15857 | 11748 | 5932 | 26534 | 31708 | 21161 | 16173 | | 32768 | 5441 | 23931 | 26261 | 15394 | 10334 | 5679 | 23278 | 31162 | 19966 | 14624 | | 262144 | 4946 | 19081 | 23591 | 9612 | 9544 | 4958 | 16362 | 20196 | 10419 | 12575 | | 1048576 | 3752 | 14873 | 15469 | 6673 | 6653 | 4048 | 9563 | 16681 | 4298 | 7852 | MacOS Lion, gcc 4.2, 64-bit, fftw 3.3 on a 3.4 GHz core i7 2600 Built with: gcc-4.2 -o test_pffft -arch x86_64 -O3 -Wall -W pffft.c test_pffft.c fftpack.c -L/usr/local/lib -I/usr/local/include/ -DHAVE_VECLIB -framework veclib -DHAVE_FFTW -lfftw3f | input len |real FFTPack| real vDSP | real FFTW | real PFFFT |cplx FFTPack| cplx vDSP | cplx FFTW | cplx PFFFT | |----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 2816 | 8596 | 7329 | 8187 | 2887 | 14898 | 14668 | 11108 | | 96 | 3298 | n/a | 8378 | 7727 | 3953 | n/a | 15680 | 10878 | | 128 | 3507 | 11575 | 9266 | 10108 | 4233 | 17598 | 16427 | 12000 | | 160 | 3391 | n/a | 9838 | 10711 | 4220 | n/a | 16653 | 11187 | | 192 | 3919 | n/a | 9868 | 10956 | 4297 | n/a | 15770 | 12540 | | 256 | 4283 | 13179 | 10694 | 13128 | 4545 | 19550 | 16350 | 13822 | | 384 | 3136 | n/a | 10810 | 12061 | 3600 | n/a | 16103 | 13240 | | 480 | 3477 | n/a | 10632 | 12074 | 3536 | n/a | 11630 | 12522 | | 512 | 3783 | 15141 | 11267 | 13838 | 3649 | 20002 | 16560 | 13580 | | 640 | 3639 | n/a | 11164 | 13946 | 3695 | n/a | 15416 | 13890 | | 768 | 3800 | n/a | 11245 | 13495 | 3590 | n/a | 15802 | 14552 | | 800 | 3440 | n/a | 10499 | 13301 | 3659 | n/a | 12056 | 13268 | | 1024 | 3924 | 15605 | 11450 | 15339 | 3769 | 20963 | 13941 | 15467 | | 2048 | 4518 | 16195 | 11551 | 15532 | 4258 | 20413 | 13723 | 15042 | | 2400 | 4294 | n/a | 10685 | 13078 | 4093 | n/a | 12777 | 13119 | | 4096 | 4750 | 16596 | 11672 | 15817 | 4157 | 19662 | 14316 | 14336 | | 8192 | 3820 | 16227 | 11084 | 12555 | 3691 | 18132 | 12102 | 13813 | | 9216 | 3864 | n/a | 10254 | 12870 | 3586 | n/a | 12119 | 13994 | | 16384 | 3822 | 15123 | 10454 | 12822 | 3613 | 16874 | 12370 | 13881 | | 32768 | 4175 | 14512 | 10662 | 11095 | 3881 | 14702 | 11619 | 11524 | | 262144 | 3317 | 11429 | 6269 | 9517 | 2810 | 11729 | 7757 | 10179 | | 1048576 | 2913 | 10551 | 4730 | 5867 | 2661 | 7881 | 3520 | 5350 | Ubuntu 11.04, gcc 4.5, 32-bit, fftw 3.2 on a 2.66 core 2 quad Built with: gcc -o test_pffft -DHAVE_FFTW -msse -mfpmath=sse -O3 -Wall -W pffft.c test_pffft.c fftpack.c -L/usr/local/lib -I/usr/local/include/ -lfftw3f -lm | input len |real FFTPack| real FFTW | real PFFFT |cplx FFTPack| cplx FFTW | cplx PFFFT | |----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 1920 | 3614 | 5120 | 2194 | 7680 | 6467 | | 96 | 1873 | 3549 | 5187 | 2107 | 8429 | 5863 | | 128 | 2240 | 3773 | 5514 | 2560 | 7964 | 6827 | | 192 | 1765 | 4569 | 7767 | 2284 | 9137 | 7061 | | 256 | 2048 | 5461 | 7447 | 2731 | 9638 | 7802 | | 384 | 1998 | 5861 | 6762 | 2313 | 9253 | 7644 | | 512 | 2095 | 6144 | 7680 | 2194 | 10240 | 7089 | | 768 | 2230 | 5773 | 7549 | 2045 | 10331 | 7010 | | 1024 | 2133 | 6400 | 8533 | 2133 | 10779 | 7877 | | 2048 | 2011 | 7040 | 8665 | 1942 | 10240 | 7768 | | 4096 | 2194 | 6827 | 8777 | 1755 | 9452 | 6827 | | 8192 | 1849 | 6656 | 6656 | 1752 | 7831 | 6827 | | 9216 | 1871 | 5858 | 6416 | 1643 | 6909 | 6266 | | 16384 | 1883 | 6223 | 6506 | 1664 | 7340 | 6982 | | 32768 | 1826 | 6390 | 6667 | 1631 | 7481 | 6971 | | 262144 | 1546 | 4075 | 5977 | 1299 | 3415 | 3551 | | 1048576 | 1104 | 2071 | 1730 | 1104 | 1149 | 1834 | NVIDIA Jetson TK1 board, gcc-4.8.2. The cpu is a 2.3GHz cortex A15 (Tegra K1). Built with: gcc -O3 -march=armv7-a -mtune=native -mfloat-abi=hard -mfpu=neon -ffast-math test_pffft.c pffft.c -o test_pffft_arm fftpack.c -lm | input len |real FFTPack| real PFFFT |cplx FFTPack| cplx PFFFT | |----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 1735 | 3308 | 1994 | 3744 | | 96 | 1596 | 3448 | 1987 | 3572 | | 128 | 1807 | 4076 | 2255 | 3960 | | 160 | 1769 | 4083 | 2071 | 3845 | | 192 | 1990 | 4233 | 2017 | 3939 | | 256 | 2191 | 4882 | 2254 | 4346 | | 384 | 1878 | 4492 | 2073 | 4012 | | 480 | 1748 | 4398 | 1923 | 3951 | | 512 | 2030 | 5064 | 2267 | 4195 | | 640 | 1918 | 4756 | 2094 | 4184 | | 768 | 2099 | 4907 | 2048 | 4297 | | 800 | 1822 | 4555 | 1880 | 4063 | | 1024 | 2232 | 5355 | 2187 | 4420 | | 2048 | 2176 | 4983 | 2027 | 3602 | | 2400 | 1741 | 4256 | 1710 | 3344 | | 4096 | 1816 | 3914 | 1851 | 3349 | | 8192 | 1716 | 3481 | 1700 | 3255 | | 9216 | 1735 | 3589 | 1653 | 3094 | | 16384 | 1567 | 3483 | 1637 | 3244 | | 32768 | 1624 | 3240 | 1655 | 3156 | | 262144 | 1012 | 1898 | 983 | 1503 | | 1048576 | 876 | 1154 | 868 | 1341 | iPad Air 2 with iOS9, xcode 8.0, arm64. The cpu is an Apple A8X, supposedly running at 1.5GHz. | input len |real FFTPack| real vDSP | real PFFFT |cplx FFTPack| cplx vDSP | cplx PFFFT | |----------:|-----------:|-----------:|-----------:|-----------:|-----------:|-----------:| | 64 | 2517 | 7995 | 6086 | 2725 | 13006 | 8495 | | 96 | 2442 | n/a | 6691 | 2256 | n/a | 7991 | | 128 | 2664 | 10186 | 7877 | 2575 | 15115 | 9115 | | 160 | 2638 | n/a | 8283 | 2682 | n/a | 8806 | | 192 | 2903 | n/a | 9083 | 2634 | n/a | 8980 | | 256 | 3184 | 11452 | 10039 | 3026 | 15410 | 10199 | | 384 | 2665 | n/a | 10100 | 2275 | n/a | 9247 | | 480 | 2546 | n/a | 9863 | 2341 | n/a | 8892 | | 512 | 2832 | 12197 | 10989 | 2547 | 16768 | 10154 | | 640 | 2755 | n/a | 10461 | 2569 | n/a | 9666 | | 768 | 2998 | n/a | 11355 | 2585 | n/a | 9813 | | 800 | 2516 | n/a | 10332 | 2433 | n/a | 9164 | | 1024 | 3109 | 12965 | 12114 | 2869 | 16448 | 10519 | | 2048 | 3027 | 12996 | 12023 | 2648 | 17304 | 10307 | | 2400 | 2515 | n/a | 10372 | 2355 | n/a | 8443 | | 4096 | 3204 | 13603 | 12359 | 2814 | 16570 | 9780 | | 8192 | 2759 | 13422 | 10824 | 2153 | 15652 | 7884 | | 9216 | 2700 | n/a | 9938 | 2241 | n/a | 7900 | | 16384 | 2280 | 13057 | 7976 | 593 | 4272 | 2534 | | 32768 | 768 | 4269 | 2882 | 606 | 4405 | 2604 | | 262144 | 724 | 3527 | 2630 | 534 | 2418 | 2157 | | 1048576 | 674 | 1467 | 2135 | 530 | 1621 | 2055 | ===== pffft/fftpack.c ===== /* compile with cc -DTESTING_FFTPACK fftpack.c in order to build the test application. This is an f2c translation of the full fftpack sources as found on http://www.netlib.org/fftpack/ The translated code has been slightlty edited to remove the ugliest artefacts of the translation (a hundred of wild GOTOs were wiped during that operation). The original fftpack file was written by Paul N. Swarztrauber (Version 4, 1985), in fortran 77. FFTPACK license: http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html Copyright (c) 2004 the University Corporation for Atmospheric Research ("UCAR"). All rights reserved. Developed by NCAR's Computational and Information Systems Laboratory, UCAR, www.cisl.ucar.edu. Redistribution and use of the Software in source and binary forms, with or without modification, is permitted provided that the following conditions are met: - Neither the names of NCAR's Computational and Information Systems Laboratory, the University Corporation for Atmospheric Research, nor the names of its sponsors or contributors may be used to endorse or promote products derived from this Software without specific prior written permission. - Redistributions of source code must retain the above copyright notices, this list of conditions, and the disclaimer below. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the disclaimer below in the documentation and/or other materials provided with the distribution. THIS 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 CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 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 WITH THE SOFTWARE. ChangeLog: 2011/10/02: this is my first release of this file. */ #include "fftpack.h" #include typedef fftpack_real real; typedef fftpack_int integer; typedef struct f77complex { real r, i; } f77complex; #ifdef TESTING_FFTPACK static real c_abs(f77complex *c) { return sqrt(c->r*c->r + c->i*c->i); } static double dmax(double a, double b) { return a < b ? b : a; } #endif /* translated by f2c (version 20061008), and slightly edited */ static void passfb(integer *nac, integer ido, integer ip, integer l1, integer idl1, real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa, real fsign) { /* System generated locals */ integer ch_offset, cc_offset, c1_offset, c2_offset, ch2_offset; /* Local variables */ integer i, j, k, l, jc, lc, ik, idj, idl, inc, idp; real wai, war; integer ipp2, idij, idlj, idot, ipph; #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; c1_offset = 1 + ido * (1 + l1); c1 -= c1_offset; cc_offset = 1 + ido * (1 + ip); cc -= cc_offset; ch2_offset = 1 + idl1; ch2 -= ch2_offset; c2_offset = 1 + idl1; c2 -= c2_offset; --wa; /* Function Body */ idot = ido / 2; ipp2 = ip + 2; ipph = (ip + 1) / 2; idp = ip * ido; if (ido >= l1) { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { for (i = 1; i <= ido; ++i) { ch_ref(i, k, j) = cc_ref(i, j, k) + cc_ref(i, jc, k); ch_ref(i, k, jc) = cc_ref(i, j, k) - cc_ref(i, jc, k); } } } for (k = 1; k <= l1; ++k) { for (i = 1; i <= ido; ++i) { ch_ref(i, k, 1) = cc_ref(i, 1, k); } } } else { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (i = 1; i <= ido; ++i) { for (k = 1; k <= l1; ++k) { ch_ref(i, k, j) = cc_ref(i, j, k) + cc_ref(i, jc, k); ch_ref(i, k, jc) = cc_ref(i, j, k) - cc_ref(i, jc, k); } } } for (i = 1; i <= ido; ++i) { for (k = 1; k <= l1; ++k) { ch_ref(i, k, 1) = cc_ref(i, 1, k); } } } idl = 2 - ido; inc = 0; for (l = 2; l <= ipph; ++l) { lc = ipp2 - l; idl += ido; for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, l) = ch2_ref(ik, 1) + wa[idl - 1] * ch2_ref(ik, 2); c2_ref(ik, lc) = fsign*wa[idl] * ch2_ref(ik, ip); } idlj = idl; inc += ido; for (j = 3; j <= ipph; ++j) { jc = ipp2 - j; idlj += inc; if (idlj > idp) { idlj -= idp; } war = wa[idlj - 1]; wai = wa[idlj]; for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, l) = c2_ref(ik, l) + war * ch2_ref(ik, j); c2_ref(ik, lc) = c2_ref(ik, lc) + fsign*wai * ch2_ref(ik, jc); } } } for (j = 2; j <= ipph; ++j) { for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, 1) = ch2_ref(ik, 1) + ch2_ref(ik, j); } } for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (ik = 2; ik <= idl1; ik += 2) { ch2_ref(ik - 1, j) = c2_ref(ik - 1, j) - c2_ref(ik, jc); ch2_ref(ik - 1, jc) = c2_ref(ik - 1, j) + c2_ref(ik, jc); ch2_ref(ik, j) = c2_ref(ik, j) + c2_ref(ik - 1, jc); ch2_ref(ik, jc) = c2_ref(ik, j) - c2_ref(ik - 1, jc); } } *nac = 1; if (ido == 2) { return; } *nac = 0; for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, 1) = ch2_ref(ik, 1); } for (j = 2; j <= ip; ++j) { for (k = 1; k <= l1; ++k) { c1_ref(1, k, j) = ch_ref(1, k, j); c1_ref(2, k, j) = ch_ref(2, k, j); } } if (idot <= l1) { idij = 0; for (j = 2; j <= ip; ++j) { idij += 2; for (i = 4; i <= ido; i += 2) { idij += 2; for (k = 1; k <= l1; ++k) { c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - fsign*wa[idij] * ch_ref(i, k, j); c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + fsign*wa[idij] * ch_ref(i - 1, k, j); } } } return; } idj = 2 - ido; for (j = 2; j <= ip; ++j) { idj += ido; for (k = 1; k <= l1; ++k) { idij = idj; for (i = 4; i <= ido; i += 2) { idij += 2; c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - fsign*wa[idij] * ch_ref(i, k, j); c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + fsign*wa[idij] * ch_ref(i - 1, k, j); } } } } /* passb */ #undef ch2_ref #undef ch_ref #undef cc_ref #undef c2_ref #undef c1_ref static void passb2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) { /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ti2, tr2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 3; cc -= cc_offset; --wa1; /* Function Body */ if (ido <= 2) { for (k = 1; k <= l1; ++k) { ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(1, 2, k); ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(1, 2, k); ch_ref(2, k, 1) = cc_ref(2, 1, k) + cc_ref(2, 2, k); ch_ref(2, k, 2) = cc_ref(2, 1, k) - cc_ref(2, 2, k); } return; } for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 2, k); tr2 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 2, k); ch_ref(i, k, 1) = cc_ref(i, 1, k) + cc_ref(i, 2, k); ti2 = cc_ref(i, 1, k) - cc_ref(i, 2, k); ch_ref(i, k, 2) = wa1[i - 1] * ti2 + wa1[i] * tr2; ch_ref(i - 1, k, 2) = wa1[i - 1] * tr2 - wa1[i] * ti2; } } } /* passb2 */ #undef ch_ref #undef cc_ref static void passb3(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2) { static const real taur = -.5f; static const real taui = .866025403784439f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + (ido << 2); cc -= cc_offset; --wa1; --wa2; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { tr2 = cc_ref(1, 2, k) + cc_ref(1, 3, k); cr2 = cc_ref(1, 1, k) + taur * tr2; ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; ti2 = cc_ref(2, 2, k) + cc_ref(2, 3, k); ci2 = cc_ref(2, 1, k) + taur * ti2; ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2; cr3 = taui * (cc_ref(1, 2, k) - cc_ref(1, 3, k)); ci3 = taui * (cc_ref(2, 2, k) - cc_ref(2, 3, k)); ch_ref(1, k, 2) = cr2 - ci3; ch_ref(1, k, 3) = cr2 + ci3; ch_ref(2, k, 2) = ci2 + cr3; ch_ref(2, k, 3) = ci2 - cr3; } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 3, k); cr2 = cc_ref(i - 1, 1, k) + taur * tr2; ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; ti2 = cc_ref(i, 2, k) + cc_ref(i, 3, k); ci2 = cc_ref(i, 1, k) + taur * ti2; ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; cr3 = taui * (cc_ref(i - 1, 2, k) - cc_ref(i - 1, 3, k)); ci3 = taui * (cc_ref(i, 2, k) - cc_ref(i, 3, k)); dr2 = cr2 - ci3; dr3 = cr2 + ci3; di2 = ci2 + cr3; di3 = ci2 - cr3; ch_ref(i, k, 2) = wa1[i - 1] * di2 + wa1[i] * dr2; ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 - wa1[i] * di2; ch_ref(i, k, 3) = wa2[i - 1] * di3 + wa2[i] * dr3; ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 - wa2[i] * di3; } } } } /* passb3 */ #undef ch_ref #undef cc_ref static void passb4(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3) { /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 5; cc -= cc_offset; --wa1; --wa2; --wa3; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { ti1 = cc_ref(2, 1, k) - cc_ref(2, 3, k); ti2 = cc_ref(2, 1, k) + cc_ref(2, 3, k); tr4 = cc_ref(2, 4, k) - cc_ref(2, 2, k); ti3 = cc_ref(2, 2, k) + cc_ref(2, 4, k); tr1 = cc_ref(1, 1, k) - cc_ref(1, 3, k); tr2 = cc_ref(1, 1, k) + cc_ref(1, 3, k); ti4 = cc_ref(1, 2, k) - cc_ref(1, 4, k); tr3 = cc_ref(1, 2, k) + cc_ref(1, 4, k); ch_ref(1, k, 1) = tr2 + tr3; ch_ref(1, k, 3) = tr2 - tr3; ch_ref(2, k, 1) = ti2 + ti3; ch_ref(2, k, 3) = ti2 - ti3; ch_ref(1, k, 2) = tr1 + tr4; ch_ref(1, k, 4) = tr1 - tr4; ch_ref(2, k, 2) = ti1 + ti4; ch_ref(2, k, 4) = ti1 - ti4; } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { ti1 = cc_ref(i, 1, k) - cc_ref(i, 3, k); ti2 = cc_ref(i, 1, k) + cc_ref(i, 3, k); ti3 = cc_ref(i, 2, k) + cc_ref(i, 4, k); tr4 = cc_ref(i, 4, k) - cc_ref(i, 2, k); tr1 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 3, k); tr2 = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 3, k); ti4 = cc_ref(i - 1, 2, k) - cc_ref(i - 1, 4, k); tr3 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 4, k); ch_ref(i - 1, k, 1) = tr2 + tr3; cr3 = tr2 - tr3; ch_ref(i, k, 1) = ti2 + ti3; ci3 = ti2 - ti3; cr2 = tr1 + tr4; cr4 = tr1 - tr4; ci2 = ti1 + ti4; ci4 = ti1 - ti4; ch_ref(i - 1, k, 2) = wa1[i - 1] * cr2 - wa1[i] * ci2; ch_ref(i, k, 2) = wa1[i - 1] * ci2 + wa1[i] * cr2; ch_ref(i - 1, k, 3) = wa2[i - 1] * cr3 - wa2[i] * ci3; ch_ref(i, k, 3) = wa2[i - 1] * ci3 + wa2[i] * cr3; ch_ref(i - 1, k, 4) = wa3[i - 1] * cr4 - wa3[i] * ci4; ch_ref(i, k, 4) = wa3[i - 1] * ci4 + wa3[i] * cr4; } } } } /* passb4 */ #undef ch_ref #undef cc_ref /* passf5 and passb5 merged */ static void passfb5(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3, const real *wa4, real fsign) { const real tr11 = .309016994374947f; const real ti11 = .951056516295154f*fsign; const real tr12 = -.809016994374947f; const real ti12 = .587785252292473f*fsign; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3, ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*5 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 6; cc -= cc_offset; --wa1; --wa2; --wa3; --wa4; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { ti5 = cc_ref(2, 2, k) - cc_ref(2, 5, k); ti2 = cc_ref(2, 2, k) + cc_ref(2, 5, k); ti4 = cc_ref(2, 3, k) - cc_ref(2, 4, k); ti3 = cc_ref(2, 3, k) + cc_ref(2, 4, k); tr5 = cc_ref(1, 2, k) - cc_ref(1, 5, k); tr2 = cc_ref(1, 2, k) + cc_ref(1, 5, k); tr4 = cc_ref(1, 3, k) - cc_ref(1, 4, k); tr3 = cc_ref(1, 3, k) + cc_ref(1, 4, k); ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2 + tr3; ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2 + ti3; cr2 = cc_ref(1, 1, k) + tr11 * tr2 + tr12 * tr3; ci2 = cc_ref(2, 1, k) + tr11 * ti2 + tr12 * ti3; cr3 = cc_ref(1, 1, k) + tr12 * tr2 + tr11 * tr3; ci3 = cc_ref(2, 1, k) + tr12 * ti2 + tr11 * ti3; cr5 = ti11 * tr5 + ti12 * tr4; ci5 = ti11 * ti5 + ti12 * ti4; cr4 = ti12 * tr5 - ti11 * tr4; ci4 = ti12 * ti5 - ti11 * ti4; ch_ref(1, k, 2) = cr2 - ci5; ch_ref(1, k, 5) = cr2 + ci5; ch_ref(2, k, 2) = ci2 + cr5; ch_ref(2, k, 3) = ci3 + cr4; ch_ref(1, k, 3) = cr3 - ci4; ch_ref(1, k, 4) = cr3 + ci4; ch_ref(2, k, 4) = ci3 - cr4; ch_ref(2, k, 5) = ci2 - cr5; } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { ti5 = cc_ref(i, 2, k) - cc_ref(i, 5, k); ti2 = cc_ref(i, 2, k) + cc_ref(i, 5, k); ti4 = cc_ref(i, 3, k) - cc_ref(i, 4, k); ti3 = cc_ref(i, 3, k) + cc_ref(i, 4, k); tr5 = cc_ref(i - 1, 2, k) - cc_ref(i - 1, 5, k); tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 5, k); tr4 = cc_ref(i - 1, 3, k) - cc_ref(i - 1, 4, k); tr3 = cc_ref(i - 1, 3, k) + cc_ref(i - 1, 4, k); ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2 + tr3; ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2 + ti3; cr2 = cc_ref(i - 1, 1, k) + tr11 * tr2 + tr12 * tr3; ci2 = cc_ref(i, 1, k) + tr11 * ti2 + tr12 * ti3; cr3 = cc_ref(i - 1, 1, k) + tr12 * tr2 + tr11 * tr3; ci3 = cc_ref(i, 1, k) + tr12 * ti2 + tr11 * ti3; cr5 = ti11 * tr5 + ti12 * tr4; ci5 = ti11 * ti5 + ti12 * ti4; cr4 = ti12 * tr5 - ti11 * tr4; ci4 = ti12 * ti5 - ti11 * ti4; dr3 = cr3 - ci4; dr4 = cr3 + ci4; di3 = ci3 + cr4; di4 = ci3 - cr4; dr5 = cr2 + ci5; dr2 = cr2 - ci5; di5 = ci2 - cr5; di2 = ci2 + cr5; ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 - fsign*wa1[i] * di2; ch_ref(i, k, 2) = wa1[i - 1] * di2 + fsign*wa1[i] * dr2; ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 - fsign*wa2[i] * di3; ch_ref(i, k, 3) = wa2[i - 1] * di3 + fsign*wa2[i] * dr3; ch_ref(i - 1, k, 4) = wa3[i - 1] * dr4 - fsign*wa3[i] * di4; ch_ref(i, k, 4) = wa3[i - 1] * di4 + fsign*wa3[i] * dr4; ch_ref(i - 1, k, 5) = wa4[i - 1] * dr5 - fsign*wa4[i] * di5; ch_ref(i, k, 5) = wa4[i - 1] * di5 + fsign*wa4[i] * dr5; } } } } /* passb5 */ #undef ch_ref #undef cc_ref static void passf2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) { /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ti2, tr2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 3; cc -= cc_offset; --wa1; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(1, 2, k); ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(1, 2, k); ch_ref(2, k, 1) = cc_ref(2, 1, k) + cc_ref(2, 2, k); ch_ref(2, k, 2) = cc_ref(2, 1, k) - cc_ref(2, 2, k); } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 2, k); tr2 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 2, k); ch_ref(i, k, 1) = cc_ref(i, 1, k) + cc_ref(i, 2, k); ti2 = cc_ref(i, 1, k) - cc_ref(i, 2, k); ch_ref(i, k, 2) = wa1[i - 1] * ti2 - wa1[i] * tr2; ch_ref(i - 1, k, 2) = wa1[i - 1] * tr2 + wa1[i] * ti2; } } } } /* passf2 */ #undef ch_ref #undef cc_ref static void passf3(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2) { static const real taur = -.5f; static const real taui = -.866025403784439f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + (ido << 2); cc -= cc_offset; --wa1; --wa2; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { tr2 = cc_ref(1, 2, k) + cc_ref(1, 3, k); cr2 = cc_ref(1, 1, k) + taur * tr2; ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; ti2 = cc_ref(2, 2, k) + cc_ref(2, 3, k); ci2 = cc_ref(2, 1, k) + taur * ti2; ch_ref(2, k, 1) = cc_ref(2, 1, k) + ti2; cr3 = taui * (cc_ref(1, 2, k) - cc_ref(1, 3, k)); ci3 = taui * (cc_ref(2, 2, k) - cc_ref(2, 3, k)); ch_ref(1, k, 2) = cr2 - ci3; ch_ref(1, k, 3) = cr2 + ci3; ch_ref(2, k, 2) = ci2 + cr3; ch_ref(2, k, 3) = ci2 - cr3; } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { tr2 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 3, k); cr2 = cc_ref(i - 1, 1, k) + taur * tr2; ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; ti2 = cc_ref(i, 2, k) + cc_ref(i, 3, k); ci2 = cc_ref(i, 1, k) + taur * ti2; ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; cr3 = taui * (cc_ref(i - 1, 2, k) - cc_ref(i - 1, 3, k)); ci3 = taui * (cc_ref(i, 2, k) - cc_ref(i, 3, k)); dr2 = cr2 - ci3; dr3 = cr2 + ci3; di2 = ci2 + cr3; di3 = ci2 - cr3; ch_ref(i, k, 2) = wa1[i - 1] * di2 - wa1[i] * dr2; ch_ref(i - 1, k, 2) = wa1[i - 1] * dr2 + wa1[i] * di2; ch_ref(i, k, 3) = wa2[i - 1] * di3 - wa2[i] * dr3; ch_ref(i - 1, k, 3) = wa2[i - 1] * dr3 + wa2[i] * di3; } } } } /* passf3 */ #undef ch_ref #undef cc_ref static void passf4(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3) { /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k; real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 5; cc -= cc_offset; --wa1; --wa2; --wa3; /* Function Body */ if (ido == 2) { for (k = 1; k <= l1; ++k) { ti1 = cc_ref(2, 1, k) - cc_ref(2, 3, k); ti2 = cc_ref(2, 1, k) + cc_ref(2, 3, k); tr4 = cc_ref(2, 2, k) - cc_ref(2, 4, k); ti3 = cc_ref(2, 2, k) + cc_ref(2, 4, k); tr1 = cc_ref(1, 1, k) - cc_ref(1, 3, k); tr2 = cc_ref(1, 1, k) + cc_ref(1, 3, k); ti4 = cc_ref(1, 4, k) - cc_ref(1, 2, k); tr3 = cc_ref(1, 2, k) + cc_ref(1, 4, k); ch_ref(1, k, 1) = tr2 + tr3; ch_ref(1, k, 3) = tr2 - tr3; ch_ref(2, k, 1) = ti2 + ti3; ch_ref(2, k, 3) = ti2 - ti3; ch_ref(1, k, 2) = tr1 + tr4; ch_ref(1, k, 4) = tr1 - tr4; ch_ref(2, k, 2) = ti1 + ti4; ch_ref(2, k, 4) = ti1 - ti4; } } else { for (k = 1; k <= l1; ++k) { for (i = 2; i <= ido; i += 2) { ti1 = cc_ref(i, 1, k) - cc_ref(i, 3, k); ti2 = cc_ref(i, 1, k) + cc_ref(i, 3, k); ti3 = cc_ref(i, 2, k) + cc_ref(i, 4, k); tr4 = cc_ref(i, 2, k) - cc_ref(i, 4, k); tr1 = cc_ref(i - 1, 1, k) - cc_ref(i - 1, 3, k); tr2 = cc_ref(i - 1, 1, k) + cc_ref(i - 1, 3, k); ti4 = cc_ref(i - 1, 4, k) - cc_ref(i - 1, 2, k); tr3 = cc_ref(i - 1, 2, k) + cc_ref(i - 1, 4, k); ch_ref(i - 1, k, 1) = tr2 + tr3; cr3 = tr2 - tr3; ch_ref(i, k, 1) = ti2 + ti3; ci3 = ti2 - ti3; cr2 = tr1 + tr4; cr4 = tr1 - tr4; ci2 = ti1 + ti4; ci4 = ti1 - ti4; ch_ref(i - 1, k, 2) = wa1[i - 1] * cr2 + wa1[i] * ci2; ch_ref(i, k, 2) = wa1[i - 1] * ci2 - wa1[i] * cr2; ch_ref(i - 1, k, 3) = wa2[i - 1] * cr3 + wa2[i] * ci3; ch_ref(i, k, 3) = wa2[i - 1] * ci3 - wa2[i] * cr3; ch_ref(i - 1, k, 4) = wa3[i - 1] * cr4 + wa3[i] * ci4; ch_ref(i, k, 4) = wa3[i - 1] * ci4 - wa3[i] * cr4; } } } } /* passf4 */ #undef ch_ref #undef cc_ref static void radb2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) { /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ti2, tr2; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*2 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 3; cc -= cc_offset; --wa1; /* Function Body */ for (k = 1; k <= l1; ++k) { ch_ref(1, k, 1) = cc_ref(1, 1, k) + cc_ref(ido, 2, k); ch_ref(1, k, 2) = cc_ref(1, 1, k) - cc_ref(ido, 2, k); } if (ido < 2) return; else if (ido != 2) { idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + cc_ref(ic - 1, 2, k); tr2 = cc_ref(i - 1, 1, k) - cc_ref(ic - 1, 2, k); ch_ref(i, k, 1) = cc_ref(i, 1, k) - cc_ref(ic, 2, k); ti2 = cc_ref(i, 1, k) + cc_ref(ic, 2, k); ch_ref(i - 1, k, 2) = wa1[i - 2] * tr2 - wa1[i - 1] * ti2; ch_ref(i, k, 2) = wa1[i - 2] * ti2 + wa1[i - 1] * tr2; } } if (ido % 2 == 1) return; } for (k = 1; k <= l1; ++k) { ch_ref(ido, k, 1) = cc_ref(ido, 1, k) + cc_ref(ido, 1, k); ch_ref(ido, k, 2) = -(cc_ref(1, 2, k) + cc_ref(1, 2, k)); } } /* radb2 */ #undef ch_ref #undef cc_ref static void radb3(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2) { /* Initialized data */ static const real taur = -.5f; static const real taui = .866025403784439f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ci2, ci3, di2, di3, cr2, cr3, dr2, dr3, ti2, tr2; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*3 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + (ido << 2); cc -= cc_offset; --wa1; --wa2; /* Function Body */ for (k = 1; k <= l1; ++k) { tr2 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); cr2 = cc_ref(1, 1, k) + taur * tr2; ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2; ci3 = taui * (cc_ref(1, 3, k) + cc_ref(1, 3, k)); ch_ref(1, k, 2) = cr2 - ci3; ch_ref(1, k, 3) = cr2 + ci3; } if (ido == 1) { return; } idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; tr2 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); cr2 = cc_ref(i - 1, 1, k) + taur * tr2; ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2; ti2 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); ci2 = cc_ref(i, 1, k) + taur * ti2; ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2; cr3 = taui * (cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k)); ci3 = taui * (cc_ref(i, 3, k) + cc_ref(ic, 2, k)); dr2 = cr2 - ci3; dr3 = cr2 + ci3; di2 = ci2 + cr3; di3 = ci2 - cr3; ch_ref(i - 1, k, 2) = wa1[i - 2] * dr2 - wa1[i - 1] * di2; ch_ref(i, k, 2) = wa1[i - 2] * di2 + wa1[i - 1] * dr2; ch_ref(i - 1, k, 3) = wa2[i - 2] * dr3 - wa2[i - 1] * di3; ch_ref(i, k, 3) = wa2[i - 2] * di3 + wa2[i - 1] * dr3; } } } /* radb3 */ #undef ch_ref #undef cc_ref static void radb4(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3) { /* Initialized data */ static const real sqrt2 = 1.414213562373095f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*4 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 5; cc -= cc_offset; --wa1; --wa2; --wa3; /* Function Body */ for (k = 1; k <= l1; ++k) { tr1 = cc_ref(1, 1, k) - cc_ref(ido, 4, k); tr2 = cc_ref(1, 1, k) + cc_ref(ido, 4, k); tr3 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); tr4 = cc_ref(1, 3, k) + cc_ref(1, 3, k); ch_ref(1, k, 1) = tr2 + tr3; ch_ref(1, k, 2) = tr1 - tr4; ch_ref(1, k, 3) = tr2 - tr3; ch_ref(1, k, 4) = tr1 + tr4; } if (ido < 2) return; if (ido != 2) { idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; ti1 = cc_ref(i, 1, k) + cc_ref(ic, 4, k); ti2 = cc_ref(i, 1, k) - cc_ref(ic, 4, k); ti3 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); tr4 = cc_ref(i, 3, k) + cc_ref(ic, 2, k); tr1 = cc_ref(i - 1, 1, k) - cc_ref(ic - 1, 4, k); tr2 = cc_ref(i - 1, 1, k) + cc_ref(ic - 1, 4, k); ti4 = cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k); tr3 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); ch_ref(i - 1, k, 1) = tr2 + tr3; cr3 = tr2 - tr3; ch_ref(i, k, 1) = ti2 + ti3; ci3 = ti2 - ti3; cr2 = tr1 - tr4; cr4 = tr1 + tr4; ci2 = ti1 + ti4; ci4 = ti1 - ti4; ch_ref(i - 1, k, 2) = wa1[i - 2] * cr2 - wa1[i - 1] * ci2; ch_ref(i, k, 2) = wa1[i - 2] * ci2 + wa1[i - 1] * cr2; ch_ref(i - 1, k, 3) = wa2[i - 2] * cr3 - wa2[i - 1] * ci3; ch_ref(i, k, 3) = wa2[i - 2] * ci3 + wa2[i - 1] * cr3; ch_ref(i - 1, k, 4) = wa3[i - 2] * cr4 - wa3[i - 1] * ci4; ch_ref(i, k, 4) = wa3[i - 2] * ci4 + wa3[i - 1] * cr4; } } if (ido % 2 == 1) return; } for (k = 1; k <= l1; ++k) { ti1 = cc_ref(1, 2, k) + cc_ref(1, 4, k); ti2 = cc_ref(1, 4, k) - cc_ref(1, 2, k); tr1 = cc_ref(ido, 1, k) - cc_ref(ido, 3, k); tr2 = cc_ref(ido, 1, k) + cc_ref(ido, 3, k); ch_ref(ido, k, 1) = tr2 + tr2; ch_ref(ido, k, 2) = sqrt2 * (tr1 - ti1); ch_ref(ido, k, 3) = ti2 + ti2; ch_ref(ido, k, 4) = -sqrt2 * (tr1 + ti1); } } /* radb4 */ #undef ch_ref #undef cc_ref static void radb5(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3, const real *wa4) { /* Initialized data */ static const real tr11 = .309016994374947f; static const real ti11 = .951056516295154f; static const real tr12 = -.809016994374947f; static const real ti12 = .587785252292473f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ci2, ci3, ci4, ci5, di3, di4, di5, di2, cr2, cr3, cr5, cr4, ti2, ti3, ti4, ti5, dr3, dr4, dr5, dr2, tr2, tr3, tr4, tr5; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*5 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; cc_offset = 1 + ido * 6; cc -= cc_offset; --wa1; --wa2; --wa3; --wa4; /* Function Body */ for (k = 1; k <= l1; ++k) { ti5 = cc_ref(1, 3, k) + cc_ref(1, 3, k); ti4 = cc_ref(1, 5, k) + cc_ref(1, 5, k); tr2 = cc_ref(ido, 2, k) + cc_ref(ido, 2, k); tr3 = cc_ref(ido, 4, k) + cc_ref(ido, 4, k); ch_ref(1, k, 1) = cc_ref(1, 1, k) + tr2 + tr3; cr2 = cc_ref(1, 1, k) + tr11 * tr2 + tr12 * tr3; cr3 = cc_ref(1, 1, k) + tr12 * tr2 + tr11 * tr3; ci5 = ti11 * ti5 + ti12 * ti4; ci4 = ti12 * ti5 - ti11 * ti4; ch_ref(1, k, 2) = cr2 - ci5; ch_ref(1, k, 3) = cr3 - ci4; ch_ref(1, k, 4) = cr3 + ci4; ch_ref(1, k, 5) = cr2 + ci5; } if (ido == 1) { return; } idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; ti5 = cc_ref(i, 3, k) + cc_ref(ic, 2, k); ti2 = cc_ref(i, 3, k) - cc_ref(ic, 2, k); ti4 = cc_ref(i, 5, k) + cc_ref(ic, 4, k); ti3 = cc_ref(i, 5, k) - cc_ref(ic, 4, k); tr5 = cc_ref(i - 1, 3, k) - cc_ref(ic - 1, 2, k); tr2 = cc_ref(i - 1, 3, k) + cc_ref(ic - 1, 2, k); tr4 = cc_ref(i - 1, 5, k) - cc_ref(ic - 1, 4, k); tr3 = cc_ref(i - 1, 5, k) + cc_ref(ic - 1, 4, k); ch_ref(i - 1, k, 1) = cc_ref(i - 1, 1, k) + tr2 + tr3; ch_ref(i, k, 1) = cc_ref(i, 1, k) + ti2 + ti3; cr2 = cc_ref(i - 1, 1, k) + tr11 * tr2 + tr12 * tr3; ci2 = cc_ref(i, 1, k) + tr11 * ti2 + tr12 * ti3; cr3 = cc_ref(i - 1, 1, k) + tr12 * tr2 + tr11 * tr3; ci3 = cc_ref(i, 1, k) + tr12 * ti2 + tr11 * ti3; cr5 = ti11 * tr5 + ti12 * tr4; ci5 = ti11 * ti5 + ti12 * ti4; cr4 = ti12 * tr5 - ti11 * tr4; ci4 = ti12 * ti5 - ti11 * ti4; dr3 = cr3 - ci4; dr4 = cr3 + ci4; di3 = ci3 + cr4; di4 = ci3 - cr4; dr5 = cr2 + ci5; dr2 = cr2 - ci5; di5 = ci2 - cr5; di2 = ci2 + cr5; ch_ref(i - 1, k, 2) = wa1[i - 2] * dr2 - wa1[i - 1] * di2; ch_ref(i, k, 2) = wa1[i - 2] * di2 + wa1[i - 1] * dr2; ch_ref(i - 1, k, 3) = wa2[i - 2] * dr3 - wa2[i - 1] * di3; ch_ref(i, k, 3) = wa2[i - 2] * di3 + wa2[i - 1] * dr3; ch_ref(i - 1, k, 4) = wa3[i - 2] * dr4 - wa3[i - 1] * di4; ch_ref(i, k, 4) = wa3[i - 2] * di4 + wa3[i - 1] * dr4; ch_ref(i - 1, k, 5) = wa4[i - 2] * dr5 - wa4[i - 1] * di5; ch_ref(i, k, 5) = wa4[i - 2] * di5 + wa4[i - 1] * dr5; } } } /* radb5 */ #undef ch_ref #undef cc_ref static void radbg(integer ido, integer ip, integer l1, integer idl1, const real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa) { /* System generated locals */ integer ch_offset, cc_offset, c1_offset, c2_offset, ch2_offset; /* Local variables */ integer i, j, k, l, j2, ic, jc, lc, ik, is; real dc2, ai1, ai2, ar1, ar2, ds2; integer nbd; real dcp, arg, dsp, ar1h, ar2h; integer idp2, ipp2, idij, ipph; #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; c1_offset = 1 + ido * (1 + l1); c1 -= c1_offset; cc_offset = 1 + ido * (1 + ip); cc -= cc_offset; ch2_offset = 1 + idl1; ch2 -= ch2_offset; c2_offset = 1 + idl1; c2 -= c2_offset; --wa; /* Function Body */ arg = (2*M_PI) / (real) (ip); dcp = cos(arg); dsp = sin(arg); idp2 = ido + 2; nbd = (ido - 1) / 2; ipp2 = ip + 2; ipph = (ip + 1) / 2; if (ido >= l1) { for (k = 1; k <= l1; ++k) { for (i = 1; i <= ido; ++i) { ch_ref(i, k, 1) = cc_ref(i, 1, k); } } } else { for (i = 1; i <= ido; ++i) { for (k = 1; k <= l1; ++k) { ch_ref(i, k, 1) = cc_ref(i, 1, k); } } } for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; j2 = j + j; for (k = 1; k <= l1; ++k) { ch_ref(1, k, j) = cc_ref(ido, j2 - 2, k) + cc_ref(ido, j2 - 2, k); ch_ref(1, k, jc) = cc_ref(1, j2 - 1, k) + cc_ref(1, j2 - 1, k); } } if (ido != 1) { if (nbd >= l1) { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; ch_ref(i - 1, k, j) = cc_ref(i - 1, (j << 1) - 1, k) + cc_ref(ic - 1, (j << 1) - 2, k); ch_ref(i - 1, k, jc) = cc_ref(i - 1, (j << 1) - 1, k) - cc_ref(ic - 1, (j << 1) - 2, k); ch_ref(i, k, j) = cc_ref(i, (j << 1) - 1, k) - cc_ref(ic, (j << 1) - 2, k); ch_ref(i, k, jc) = cc_ref(i, (j << 1) - 1, k) + cc_ref(ic, (j << 1) - 2, k); } } } } else { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (i = 3; i <= ido; i += 2) { ic = idp2 - i; for (k = 1; k <= l1; ++k) { ch_ref(i - 1, k, j) = cc_ref(i - 1, (j << 1) - 1, k) + cc_ref(ic - 1, (j << 1) - 2, k); ch_ref(i - 1, k, jc) = cc_ref(i - 1, (j << 1) - 1, k) - cc_ref(ic - 1, (j << 1) - 2, k); ch_ref(i, k, j) = cc_ref(i, (j << 1) - 1, k) - cc_ref(ic, (j << 1) - 2, k); ch_ref(i, k, jc) = cc_ref(i, (j << 1) - 1, k) + cc_ref(ic, (j << 1) - 2, k); } } } } } ar1 = 1.f; ai1 = 0.f; for (l = 2; l <= ipph; ++l) { lc = ipp2 - l; ar1h = dcp * ar1 - dsp * ai1; ai1 = dcp * ai1 + dsp * ar1; ar1 = ar1h; for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, l) = ch2_ref(ik, 1) + ar1 * ch2_ref(ik, 2); c2_ref(ik, lc) = ai1 * ch2_ref(ik, ip); } dc2 = ar1; ds2 = ai1; ar2 = ar1; ai2 = ai1; for (j = 3; j <= ipph; ++j) { jc = ipp2 - j; ar2h = dc2 * ar2 - ds2 * ai2; ai2 = dc2 * ai2 + ds2 * ar2; ar2 = ar2h; for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, l) = c2_ref(ik, l) + ar2 * ch2_ref(ik, j); c2_ref(ik, lc) = c2_ref(ik, lc) + ai2 * ch2_ref(ik, jc); } } } for (j = 2; j <= ipph; ++j) { for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, 1) = ch2_ref(ik, 1) + ch2_ref(ik, j); } } for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { ch_ref(1, k, j) = c1_ref(1, k, j) - c1_ref(1, k, jc); ch_ref(1, k, jc) = c1_ref(1, k, j) + c1_ref(1, k, jc); } } if (ido != 1) { if (nbd >= l1) { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ch_ref(i - 1, k, j) = c1_ref(i - 1, k, j) - c1_ref(i, k, jc); ch_ref(i - 1, k, jc) = c1_ref(i - 1, k, j) + c1_ref(i, k, jc); ch_ref(i, k, j) = c1_ref(i, k, j) + c1_ref(i - 1, k, jc); ch_ref(i, k, jc) = c1_ref(i, k, j) - c1_ref(i - 1, k, jc); } } } } else { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (i = 3; i <= ido; i += 2) { for (k = 1; k <= l1; ++k) { ch_ref(i - 1, k, j) = c1_ref(i - 1, k, j) - c1_ref(i, k, jc); ch_ref(i - 1, k, jc) = c1_ref(i - 1, k, j) + c1_ref(i, k, jc); ch_ref(i, k, j) = c1_ref(i, k, j) + c1_ref(i - 1, k, jc); ch_ref(i, k, jc) = c1_ref(i, k, j) - c1_ref(i - 1, k, jc); } } } } } if (ido == 1) { return; } for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, 1) = ch2_ref(ik, 1); } for (j = 2; j <= ip; ++j) { for (k = 1; k <= l1; ++k) { c1_ref(1, k, j) = ch_ref(1, k, j); } } if (nbd <= l1) { is = -(ido); for (j = 2; j <= ip; ++j) { is += ido; idij = is; for (i = 3; i <= ido; i += 2) { idij += 2; for (k = 1; k <= l1; ++k) { c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - wa[idij] * ch_ref(i, k, j); c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + wa[idij] * ch_ref(i - 1, k, j); } } } } else { is = -(ido); for (j = 2; j <= ip; ++j) { is += ido; for (k = 1; k <= l1; ++k) { idij = is; for (i = 3; i <= ido; i += 2) { idij += 2; c1_ref(i - 1, k, j) = wa[idij - 1] * ch_ref(i - 1, k, j) - wa[idij] * ch_ref(i, k, j); c1_ref(i, k, j) = wa[idij - 1] * ch_ref(i, k, j) + wa[idij] * ch_ref(i - 1, k, j); } } } } } /* radbg */ #undef ch2_ref #undef ch_ref #undef cc_ref #undef c2_ref #undef c1_ref static void radf2(integer ido, integer l1, const real *cc, real *ch, const real *wa1) { /* System generated locals */ integer ch_offset, cc_offset; /* Local variables */ integer i, k, ic; real ti2, tr2; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*2 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * 3; ch -= ch_offset; cc_offset = 1 + ido * (1 + l1); cc -= cc_offset; --wa1; /* Function Body */ for (k = 1; k <= l1; ++k) { ch_ref(1, 1, k) = cc_ref(1, k, 1) + cc_ref(1, k, 2); ch_ref(ido, 2, k) = cc_ref(1, k, 1) - cc_ref(1, k, 2); } if (ido < 2) return; if (ido != 2) { idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; tr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * cc_ref(i, k, 2); ti2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( i - 1, k, 2); ch_ref(i, 1, k) = cc_ref(i, k, 1) + ti2; ch_ref(ic, 2, k) = ti2 - cc_ref(i, k, 1); ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + tr2; ch_ref(ic - 1, 2, k) = cc_ref(i - 1, k, 1) - tr2; } } if (ido % 2 == 1) { return; } } for (k = 1; k <= l1; ++k) { ch_ref(1, 2, k) = -cc_ref(ido, k, 2); ch_ref(ido, 1, k) = cc_ref(ido, k, 1); } } /* radf2 */ #undef ch_ref #undef cc_ref static void radf3(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2) { static const real taur = -.5f; static const real taui = .866025403784439f; /* System generated locals */ integer ch_offset, cc_offset; /* Local variables */ integer i, k, ic; real ci2, di2, di3, cr2, dr2, dr3, ti2, ti3, tr2, tr3; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*3 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + (ido << 2); ch -= ch_offset; cc_offset = 1 + ido * (1 + l1); cc -= cc_offset; --wa1; --wa2; /* Function Body */ for (k = 1; k <= l1; ++k) { cr2 = cc_ref(1, k, 2) + cc_ref(1, k, 3); ch_ref(1, 1, k) = cc_ref(1, k, 1) + cr2; ch_ref(1, 3, k) = taui * (cc_ref(1, k, 3) - cc_ref(1, k, 2)); ch_ref(ido, 2, k) = cc_ref(1, k, 1) + taur * cr2; } if (ido == 1) { return; } idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; dr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * cc_ref(i, k, 2); di2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( i - 1, k, 2); dr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * cc_ref(i, k, 3); di3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref( i - 1, k, 3); cr2 = dr2 + dr3; ci2 = di2 + di3; ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + cr2; ch_ref(i, 1, k) = cc_ref(i, k, 1) + ci2; tr2 = cc_ref(i - 1, k, 1) + taur * cr2; ti2 = cc_ref(i, k, 1) + taur * ci2; tr3 = taui * (di2 - di3); ti3 = taui * (dr3 - dr2); ch_ref(i - 1, 3, k) = tr2 + tr3; ch_ref(ic - 1, 2, k) = tr2 - tr3; ch_ref(i, 3, k) = ti2 + ti3; ch_ref(ic, 2, k) = ti3 - ti2; } } } /* radf3 */ #undef ch_ref #undef cc_ref static void radf4(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3) { /* Initialized data */ static const real hsqt2 = .7071067811865475f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ci2, ci3, ci4, cr2, cr3, cr4, ti1, ti2, ti3, ti4, tr1, tr2, tr3, tr4; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*4 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * 5; ch -= ch_offset; cc_offset = 1 + ido * (1 + l1); cc -= cc_offset; --wa1; --wa2; --wa3; /* Function Body */ for (k = 1; k <= l1; ++k) { tr1 = cc_ref(1, k, 2) + cc_ref(1, k, 4); tr2 = cc_ref(1, k, 1) + cc_ref(1, k, 3); ch_ref(1, 1, k) = tr1 + tr2; ch_ref(ido, 4, k) = tr2 - tr1; ch_ref(ido, 2, k) = cc_ref(1, k, 1) - cc_ref(1, k, 3); ch_ref(1, 3, k) = cc_ref(1, k, 4) - cc_ref(1, k, 2); } if (ido < 2) return; if (ido != 2) { idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; cr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * cc_ref(i, k, 2); ci2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref( i - 1, k, 2); cr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * cc_ref(i, k, 3); ci3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref( i - 1, k, 3); cr4 = wa3[i - 2] * cc_ref(i - 1, k, 4) + wa3[i - 1] * cc_ref(i, k, 4); ci4 = wa3[i - 2] * cc_ref(i, k, 4) - wa3[i - 1] * cc_ref( i - 1, k, 4); tr1 = cr2 + cr4; tr4 = cr4 - cr2; ti1 = ci2 + ci4; ti4 = ci2 - ci4; ti2 = cc_ref(i, k, 1) + ci3; ti3 = cc_ref(i, k, 1) - ci3; tr2 = cc_ref(i - 1, k, 1) + cr3; tr3 = cc_ref(i - 1, k, 1) - cr3; ch_ref(i - 1, 1, k) = tr1 + tr2; ch_ref(ic - 1, 4, k) = tr2 - tr1; ch_ref(i, 1, k) = ti1 + ti2; ch_ref(ic, 4, k) = ti1 - ti2; ch_ref(i - 1, 3, k) = ti4 + tr3; ch_ref(ic - 1, 2, k) = tr3 - ti4; ch_ref(i, 3, k) = tr4 + ti3; ch_ref(ic, 2, k) = tr4 - ti3; } } if (ido % 2 == 1) { return; } } for (k = 1; k <= l1; ++k) { ti1 = -hsqt2 * (cc_ref(ido, k, 2) + cc_ref(ido, k, 4)); tr1 = hsqt2 * (cc_ref(ido, k, 2) - cc_ref(ido, k, 4)); ch_ref(ido, 1, k) = tr1 + cc_ref(ido, k, 1); ch_ref(ido, 3, k) = cc_ref(ido, k, 1) - tr1; ch_ref(1, 2, k) = ti1 - cc_ref(ido, k, 3); ch_ref(1, 4, k) = ti1 + cc_ref(ido, k, 3); } } /* radf4 */ #undef ch_ref #undef cc_ref static void radf5(integer ido, integer l1, const real *cc, real *ch, const real *wa1, const real *wa2, const real *wa3, const real *wa4) { /* Initialized data */ static const real tr11 = .309016994374947f; static const real ti11 = .951056516295154f; static const real tr12 = -.809016994374947f; static const real ti12 = .587785252292473f; /* System generated locals */ integer cc_offset, ch_offset; /* Local variables */ integer i, k, ic; real ci2, di2, ci4, ci5, di3, di4, di5, ci3, cr2, cr3, dr2, dr3, dr4, dr5, cr5, cr4, ti2, ti3, ti5, ti4, tr2, tr3, tr4, tr5; integer idp2; #define cc_ref(a_1,a_2,a_3) cc[((a_3)*l1 + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*5 + (a_2))*ido + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * 6; ch -= ch_offset; cc_offset = 1 + ido * (1 + l1); cc -= cc_offset; --wa1; --wa2; --wa3; --wa4; /* Function Body */ for (k = 1; k <= l1; ++k) { cr2 = cc_ref(1, k, 5) + cc_ref(1, k, 2); ci5 = cc_ref(1, k, 5) - cc_ref(1, k, 2); cr3 = cc_ref(1, k, 4) + cc_ref(1, k, 3); ci4 = cc_ref(1, k, 4) - cc_ref(1, k, 3); ch_ref(1, 1, k) = cc_ref(1, k, 1) + cr2 + cr3; ch_ref(ido, 2, k) = cc_ref(1, k, 1) + tr11 * cr2 + tr12 * cr3; ch_ref(1, 3, k) = ti11 * ci5 + ti12 * ci4; ch_ref(ido, 4, k) = cc_ref(1, k, 1) + tr12 * cr2 + tr11 * cr3; ch_ref(1, 5, k) = ti12 * ci5 - ti11 * ci4; } if (ido == 1) { return; } idp2 = ido + 2; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; dr2 = wa1[i - 2] * cc_ref(i - 1, k, 2) + wa1[i - 1] * cc_ref(i, k, 2); di2 = wa1[i - 2] * cc_ref(i, k, 2) - wa1[i - 1] * cc_ref(i - 1, k, 2); dr3 = wa2[i - 2] * cc_ref(i - 1, k, 3) + wa2[i - 1] * cc_ref(i, k, 3); di3 = wa2[i - 2] * cc_ref(i, k, 3) - wa2[i - 1] * cc_ref(i - 1, k, 3); dr4 = wa3[i - 2] * cc_ref(i - 1, k, 4) + wa3[i - 1] * cc_ref(i, k, 4); di4 = wa3[i - 2] * cc_ref(i, k, 4) - wa3[i - 1] * cc_ref(i - 1, k, 4); dr5 = wa4[i - 2] * cc_ref(i - 1, k, 5) + wa4[i - 1] * cc_ref(i, k, 5); di5 = wa4[i - 2] * cc_ref(i, k, 5) - wa4[i - 1] * cc_ref(i - 1, k, 5); cr2 = dr2 + dr5; ci5 = dr5 - dr2; cr5 = di2 - di5; ci2 = di2 + di5; cr3 = dr3 + dr4; ci4 = dr4 - dr3; cr4 = di3 - di4; ci3 = di3 + di4; ch_ref(i - 1, 1, k) = cc_ref(i - 1, k, 1) + cr2 + cr3; ch_ref(i, 1, k) = cc_ref(i, k, 1) + ci2 + ci3; tr2 = cc_ref(i - 1, k, 1) + tr11 * cr2 + tr12 * cr3; ti2 = cc_ref(i, k, 1) + tr11 * ci2 + tr12 * ci3; tr3 = cc_ref(i - 1, k, 1) + tr12 * cr2 + tr11 * cr3; ti3 = cc_ref(i, k, 1) + tr12 * ci2 + tr11 * ci3; tr5 = ti11 * cr5 + ti12 * cr4; ti5 = ti11 * ci5 + ti12 * ci4; tr4 = ti12 * cr5 - ti11 * cr4; ti4 = ti12 * ci5 - ti11 * ci4; ch_ref(i - 1, 3, k) = tr2 + tr5; ch_ref(ic - 1, 2, k) = tr2 - tr5; ch_ref(i, 3, k) = ti2 + ti5; ch_ref(ic, 2, k) = ti5 - ti2; ch_ref(i - 1, 5, k) = tr3 + tr4; ch_ref(ic - 1, 4, k) = tr3 - tr4; ch_ref(i, 5, k) = ti3 + ti4; ch_ref(ic, 4, k) = ti4 - ti3; } } } /* radf5 */ #undef ch_ref #undef cc_ref static void radfg(integer ido, integer ip, integer l1, integer idl1, real *cc, real *c1, real *c2, real *ch, real *ch2, const real *wa) { /* System generated locals */ integer ch_offset, cc_offset, c1_offset, c2_offset, ch2_offset; /* Local variables */ integer i, j, k, l, j2, ic, jc, lc, ik, is; real dc2, ai1, ai2, ar1, ar2, ds2; integer nbd; real dcp, arg, dsp, ar1h, ar2h; integer idp2, ipp2, idij, ipph; #define c1_ref(a_1,a_2,a_3) c1[((a_3)*l1 + (a_2))*ido + a_1] #define c2_ref(a_1,a_2) c2[(a_2)*idl1 + a_1] #define cc_ref(a_1,a_2,a_3) cc[((a_3)*ip + (a_2))*ido + a_1] #define ch_ref(a_1,a_2,a_3) ch[((a_3)*l1 + (a_2))*ido + a_1] #define ch2_ref(a_1,a_2) ch2[(a_2)*idl1 + a_1] /* Parameter adjustments */ ch_offset = 1 + ido * (1 + l1); ch -= ch_offset; c1_offset = 1 + ido * (1 + l1); c1 -= c1_offset; cc_offset = 1 + ido * (1 + ip); cc -= cc_offset; ch2_offset = 1 + idl1; ch2 -= ch2_offset; c2_offset = 1 + idl1; c2 -= c2_offset; --wa; /* Function Body */ arg = (2*M_PI) / (real) (ip); dcp = cos(arg); dsp = sin(arg); ipph = (ip + 1) / 2; ipp2 = ip + 2; idp2 = ido + 2; nbd = (ido - 1) / 2; if (ido == 1) { for (ik = 1; ik <= idl1; ++ik) { c2_ref(ik, 1) = ch2_ref(ik, 1); } } else { for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, 1) = c2_ref(ik, 1); } for (j = 2; j <= ip; ++j) { for (k = 1; k <= l1; ++k) { ch_ref(1, k, j) = c1_ref(1, k, j); } } if (nbd <= l1) { is = -(ido); for (j = 2; j <= ip; ++j) { is += ido; idij = is; for (i = 3; i <= ido; i += 2) { idij += 2; for (k = 1; k <= l1; ++k) { ch_ref(i - 1, k, j) = wa[idij - 1] * c1_ref(i - 1, k, j) + wa[idij] * c1_ref(i, k, j); ch_ref(i, k, j) = wa[idij - 1] * c1_ref(i, k, j) - wa[ idij] * c1_ref(i - 1, k, j); } } } } else { is = -(ido); for (j = 2; j <= ip; ++j) { is += ido; for (k = 1; k <= l1; ++k) { idij = is; for (i = 3; i <= ido; i += 2) { idij += 2; ch_ref(i - 1, k, j) = wa[idij - 1] * c1_ref(i - 1, k, j) + wa[idij] * c1_ref(i, k, j); ch_ref(i, k, j) = wa[idij - 1] * c1_ref(i, k, j) - wa[ idij] * c1_ref(i - 1, k, j); } } } } if (nbd >= l1) { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { c1_ref(i - 1, k, j) = ch_ref(i - 1, k, j) + ch_ref(i - 1, k, jc); c1_ref(i - 1, k, jc) = ch_ref(i, k, j) - ch_ref(i, k, jc); c1_ref(i, k, j) = ch_ref(i, k, j) + ch_ref(i, k, jc); c1_ref(i, k, jc) = ch_ref(i - 1, k, jc) - ch_ref(i - 1, k, j); } } } } else { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (i = 3; i <= ido; i += 2) { for (k = 1; k <= l1; ++k) { c1_ref(i - 1, k, j) = ch_ref(i - 1, k, j) + ch_ref(i - 1, k, jc); c1_ref(i - 1, k, jc) = ch_ref(i, k, j) - ch_ref(i, k, jc); c1_ref(i, k, j) = ch_ref(i, k, j) + ch_ref(i, k, jc); c1_ref(i, k, jc) = ch_ref(i - 1, k, jc) - ch_ref(i - 1, k, j); } } } } } for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; for (k = 1; k <= l1; ++k) { c1_ref(1, k, j) = ch_ref(1, k, j) + ch_ref(1, k, jc); c1_ref(1, k, jc) = ch_ref(1, k, jc) - ch_ref(1, k, j); } } ar1 = 1.f; ai1 = 0.f; for (l = 2; l <= ipph; ++l) { lc = ipp2 - l; ar1h = dcp * ar1 - dsp * ai1; ai1 = dcp * ai1 + dsp * ar1; ar1 = ar1h; for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, l) = c2_ref(ik, 1) + ar1 * c2_ref(ik, 2); ch2_ref(ik, lc) = ai1 * c2_ref(ik, ip); } dc2 = ar1; ds2 = ai1; ar2 = ar1; ai2 = ai1; for (j = 3; j <= ipph; ++j) { jc = ipp2 - j; ar2h = dc2 * ar2 - ds2 * ai2; ai2 = dc2 * ai2 + ds2 * ar2; ar2 = ar2h; for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, l) = ch2_ref(ik, l) + ar2 * c2_ref(ik, j); ch2_ref(ik, lc) = ch2_ref(ik, lc) + ai2 * c2_ref(ik, jc); } } } for (j = 2; j <= ipph; ++j) { for (ik = 1; ik <= idl1; ++ik) { ch2_ref(ik, 1) = ch2_ref(ik, 1) + c2_ref(ik, j); } } if (ido >= l1) { for (k = 1; k <= l1; ++k) { for (i = 1; i <= ido; ++i) { cc_ref(i, 1, k) = ch_ref(i, k, 1); } } } else { for (i = 1; i <= ido; ++i) { for (k = 1; k <= l1; ++k) { cc_ref(i, 1, k) = ch_ref(i, k, 1); } } } for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; j2 = j + j; for (k = 1; k <= l1; ++k) { cc_ref(ido, j2 - 2, k) = ch_ref(1, k, j); cc_ref(1, j2 - 1, k) = ch_ref(1, k, jc); } } if (ido == 1) { return; } if (nbd >= l1) { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; j2 = j + j; for (k = 1; k <= l1; ++k) { for (i = 3; i <= ido; i += 2) { ic = idp2 - i; cc_ref(i - 1, j2 - 1, k) = ch_ref(i - 1, k, j) + ch_ref( i - 1, k, jc); cc_ref(ic - 1, j2 - 2, k) = ch_ref(i - 1, k, j) - ch_ref( i - 1, k, jc); cc_ref(i, j2 - 1, k) = ch_ref(i, k, j) + ch_ref(i, k, jc); cc_ref(ic, j2 - 2, k) = ch_ref(i, k, jc) - ch_ref(i, k, j) ; } } } } else { for (j = 2; j <= ipph; ++j) { jc = ipp2 - j; j2 = j + j; for (i = 3; i <= ido; i += 2) { ic = idp2 - i; for (k = 1; k <= l1; ++k) { cc_ref(i - 1, j2 - 1, k) = ch_ref(i - 1, k, j) + ch_ref( i - 1, k, jc); cc_ref(ic - 1, j2 - 2, k) = ch_ref(i - 1, k, j) - ch_ref( i - 1, k, jc); cc_ref(i, j2 - 1, k) = ch_ref(i, k, j) + ch_ref(i, k, jc); cc_ref(ic, j2 - 2, k) = ch_ref(i, k, jc) - ch_ref(i, k, j) ; } } } } } /* radfg */ #undef ch2_ref #undef ch_ref #undef cc_ref #undef c2_ref #undef c1_ref static void cfftb1(integer n, real *c, real *ch, const real *wa, integer *ifac) { integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, nac, ido, idl1, idot; /* Function Body */ nf = ifac[1]; na = 0; l1 = 1; iw = 0; for (k1 = 1; k1 <= nf; ++k1) { ip = ifac[k1 + 1]; l2 = ip * l1; ido = n / l2; idot = ido + ido; idl1 = idot * l1; switch (ip) { case 4: ix2 = iw + idot; ix3 = ix2 + idot; passb4(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); na = 1 - na; break; case 2: passb2(idot, l1, na?ch:c, na?c:ch, &wa[iw]); na = 1 - na; break; case 3: ix2 = iw + idot; passb3(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); na = 1 - na; break; case 5: ix2 = iw + idot; ix3 = ix2 + idot; ix4 = ix3 + idot; passfb5(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], +1); na = 1 - na; break; default: if (na == 0) { passfb(&nac, idot, ip, l1, idl1, c, c, c, ch, ch, &wa[iw], +1); } else { passfb(&nac, idot, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw], +1); } if (nac != 0) { na = 1 - na; } break; } l1 = l2; iw += (ip - 1) * idot; } if (na == 0) { return; } for (i = 0; i < 2*n; ++i) { c[i] = ch[i]; } } /* cfftb1 */ void cfftb(integer n, real *c, real *wsave) { integer iw1, iw2; /* Parameter adjustments */ --wsave; --c; /* Function Body */ if (n == 1) { return; } iw1 = 2*n + 1; iw2 = iw1 + 2*n; cfftb1(n, &c[1], &wsave[1], &wsave[iw1], (int*)&wsave[iw2]); } /* cfftb */ static void cfftf1(integer n, real *c, real *ch, const real *wa, integer *ifac) { /* Local variables */ integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, nac, ido, idl1, idot; /* Function Body */ nf = ifac[1]; na = 0; l1 = 1; iw = 0; for (k1 = 1; k1 <= nf; ++k1) { ip = ifac[k1 + 1]; l2 = ip * l1; ido = n / l2; idot = ido + ido; idl1 = idot * l1; switch (ip) { case 4: ix2 = iw + idot; ix3 = ix2 + idot; passf4(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); na = 1 - na; break; case 2: passf2(idot, l1, na?ch:c, na?c:ch, &wa[iw]); na = 1 - na; break; case 3: ix2 = iw + idot; passf3(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); na = 1 - na; break; case 5: ix2 = iw + idot; ix3 = ix2 + idot; ix4 = ix3 + idot; passfb5(idot, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], -1); na = 1 - na; break; default: if (na == 0) { passfb(&nac, idot, ip, l1, idl1, c, c, c, ch, ch, &wa[iw], -1); } else { passfb(&nac, idot, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw], -1); } if (nac != 0) { na = 1 - na; } break; } l1 = l2; iw += (ip - 1)*idot; } if (na == 0) { return; } for (i = 0; i < 2*n; ++i) { c[i] = ch[i]; } } /* cfftf1 */ void cfftf(integer n, real *c, real *wsave) { integer iw1, iw2; /* Parameter adjustments */ --wsave; --c; /* Function Body */ if (n == 1) { return; } iw1 = 2*n + 1; iw2 = iw1 + 2*n; cfftf1(n, &c[1], &wsave[1], &wsave[iw1], (int*)&wsave[iw2]); } /* cfftf */ static int decompose(integer n, integer *ifac, integer ntryh[4]) { integer ntry=0, nl = n, nf = 0, nq, nr, i, j = 0; do { if (j < 4) { ntry = ntryh[j]; } else { ntry += 2; } ++j; L104: nq = nl / ntry; nr = nl - ntry * nq; if (nr != 0) continue; ++nf; ifac[nf + 2] = ntry; nl = nq; if (ntry == 2 && nf != 1) { for (i = 2; i <= nf; ++i) { integer ib = nf - i + 2; ifac[ib + 2] = ifac[ib + 1]; } ifac[3] = 2; } if (nl != 1) { goto L104; } } while (nl != 1); ifac[1] = n; ifac[2] = nf; return nf; } static void cffti1(integer n, real *wa, integer *ifac) { static integer ntryh[4] = { 3,4,2,5 }; /* Local variables */ integer i, j, i1, k1, l1, l2; real fi; integer ld, ii, nf, ip; real arg; integer ido, ipm; real argh; integer idot; real argld; /* Parameter adjustments */ --ifac; --wa; nf = decompose(n, ifac, ntryh); argh = (2*M_PI) / (real) (n); i = 2; l1 = 1; for (k1 = 1; k1 <= nf; ++k1) { ip = ifac[k1 + 2]; ld = 0; l2 = l1 * ip; ido = n / l2; idot = ido + ido + 2; ipm = ip - 1; for (j = 1; j <= ipm; ++j) { i1 = i; wa[i - 1] = 1.f; wa[i] = 0.f; ld += l1; fi = 0.f; argld = (real) ld * argh; for (ii = 4; ii <= idot; ii += 2) { i += 2; fi += 1.f; arg = fi * argld; wa[i - 1] = cos(arg); wa[i] = sin(arg); } if (ip > 5) { wa[i1 - 1] = wa[i - 1]; wa[i1] = wa[i]; }; } l1 = l2; } } /* cffti1 */ void cffti(integer n, real *wsave) { integer iw1, iw2; /* Parameter adjustments */ --wsave; /* Function Body */ if (n == 1) { return; } iw1 = 2*n + 1; iw2 = iw1 + 2*n; cffti1(n, &wsave[iw1], (int*)&wsave[iw2]); return; } /* cffti */ static void rfftb1(integer n, real *c, real *ch, const real *wa, integer *ifac) { /* Local variables */ integer i, k1, l1, l2, na, nf, ip, iw, ix2, ix3, ix4, ido, idl1; /* Function Body */ nf = ifac[1]; na = 0; l1 = 1; iw = 0; for (k1 = 1; k1 <= nf; ++k1) { ip = ifac[k1 + 1]; l2 = ip * l1; ido = n / l2; idl1 = ido * l1; switch (ip) { case 4: ix2 = iw + ido; ix3 = ix2 + ido; radb4(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3]); na = 1 - na; break; case 2: radb2(ido, l1, na?ch:c, na?c:ch, &wa[iw]); na = 1 - na; break; case 3: ix2 = iw + ido; radb3(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2]); na = 1 - na; break; case 5: ix2 = iw + ido; ix3 = ix2 + ido; ix4 = ix3 + ido; radb5(ido, l1, na?ch:c, na?c:ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]); na = 1 - na; break; default: if (na == 0) { radbg(ido, ip, l1, idl1, c, c, c, ch, ch, &wa[iw]); } else { radbg(ido, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw]); } if (ido == 1) { na = 1 - na; } break; } l1 = l2; iw += (ip - 1) * ido; } if (na == 0) { return; } for (i = 0; i < n; ++i) { c[i] = ch[i]; } } /* rfftb1 */ static void rfftf1(integer n, real *c, real *ch, const real *wa, integer *ifac) { /* Local variables */ integer i, k1, l1, l2, na, kh, nf, ip, iw, ix2, ix3, ix4, ido, idl1; /* Function Body */ nf = ifac[1]; na = 1; l2 = n; iw = n-1; for (k1 = 1; k1 <= nf; ++k1) { kh = nf - k1; ip = ifac[kh + 2]; l1 = l2 / ip; ido = n / l2; idl1 = ido * l1; iw -= (ip - 1) * ido; na = 1 - na; switch (ip) { case 4: ix2 = iw + ido; ix3 = ix2 + ido; radf4(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2], &wa[ix3]); break; case 2: radf2(ido, l1, na ? ch : c, na ? c : ch, &wa[iw]); break; case 3: ix2 = iw + ido; radf3(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2]); break; case 5: ix2 = iw + ido; ix3 = ix2 + ido; ix4 = ix3 + ido; radf5(ido, l1, na ? ch : c, na ? c : ch, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4]); break; default: if (ido == 1) { na = 1 - na; } if (na == 0) { radfg(ido, ip, l1, idl1, c, c, c, ch, ch, &wa[iw]); na = 1; } else { radfg(ido, ip, l1, idl1, ch, ch, ch, c, c, &wa[iw]); na = 0; } break; } l2 = l1; } if (na == 1) { return; } for (i = 0; i < n; ++i) { c[i] = ch[i]; } } void rfftb(integer n, real *r, real *wsave) { /* Parameter adjustments */ --wsave; --r; /* Function Body */ if (n == 1) { return; } rfftb1(n, &r[1], &wsave[1], &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); } /* rfftb */ static void rffti1(integer n, real *wa, integer *ifac) { static integer ntryh[4] = { 4,2,3,5 }; /* Local variables */ integer i, j, k1, l1, l2; real fi; integer ld, ii, nf, ip, is; real arg; integer ido, ipm; integer nfm1; real argh; real argld; /* Parameter adjustments */ --ifac; --wa; nf = decompose(n, ifac, ntryh); argh = (2*M_PI) / (real) (n); is = 0; nfm1 = nf - 1; l1 = 1; if (nfm1 == 0) { return; } for (k1 = 1; k1 <= nfm1; ++k1) { ip = ifac[k1 + 2]; ld = 0; l2 = l1 * ip; ido = n / l2; ipm = ip - 1; for (j = 1; j <= ipm; ++j) { ld += l1; i = is; argld = (real) ld * argh; fi = 0.f; for (ii = 3; ii <= ido; ii += 2) { i += 2; fi += 1.f; arg = fi * argld; wa[i - 1] = cos(arg); wa[i] = sin(arg); } is += ido; } l1 = l2; } } /* rffti1 */ void rfftf(integer n, real *r, real *wsave) { /* Parameter adjustments */ --wsave; --r; /* Function Body */ if (n == 1) { return; } rfftf1(n, &r[1], &wsave[1], &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); } /* rfftf */ void rffti(integer n, real *wsave) { /* Parameter adjustments */ --wsave; /* Function Body */ if (n == 1) { return; } rffti1(n, &wsave[n + 1], (int*)&wsave[(n << 1) + 1]); return; } /* rffti */ static void cosqb1(integer n, real *x, real *w, real *xh) { /* Local variables */ integer i, k, kc, np2, ns2; real xim1; integer modn; /* Parameter adjustments */ --xh; --w; --x; /* Function Body */ ns2 = (n + 1) / 2; np2 = n + 2; for (i = 3; i <= n; i += 2) { xim1 = x[i - 1] + x[i]; x[i] -= x[i - 1]; x[i - 1] = xim1; } x[1] += x[1]; modn = n % 2; if (modn == 0) { x[n] += x[n]; } rfftb(n, &x[1], &xh[1]); for (k = 2; k <= ns2; ++k) { kc = np2 - k; xh[k] = w[k - 1] * x[kc] + w[kc - 1] * x[k]; xh[kc] = w[k - 1] * x[k] - w[kc - 1] * x[kc]; } if (modn == 0) { x[ns2 + 1] = w[ns2] * (x[ns2 + 1] + x[ns2 + 1]); } for (k = 2; k <= ns2; ++k) { kc = np2 - k; x[k] = xh[k] + xh[kc]; x[kc] = xh[k] - xh[kc]; } x[1] += x[1]; } /* cosqb1 */ void cosqb(integer n, real *x, real *wsave) { static const real tsqrt2 = 2.82842712474619f; /* Local variables */ real x1; /* Parameter adjustments */ --wsave; --x; if (n < 2) { x[1] *= 4.f; } else if (n == 2) { x1 = (x[1] + x[2]) * 4.f; x[2] = tsqrt2 * (x[1] - x[2]); x[1] = x1; } else { cosqb1(n, &x[1], &wsave[1], &wsave[n + 1]); } } /* cosqb */ static void cosqf1(integer n, real *x, real *w, real *xh) { /* Local variables */ integer i, k, kc, np2, ns2; real xim1; integer modn; /* Parameter adjustments */ --xh; --w; --x; /* Function Body */ ns2 = (n + 1) / 2; np2 = n + 2; for (k = 2; k <= ns2; ++k) { kc = np2 - k; xh[k] = x[k] + x[kc]; xh[kc] = x[k] - x[kc]; } modn = n % 2; if (modn == 0) { xh[ns2 + 1] = x[ns2 + 1] + x[ns2 + 1]; } for (k = 2; k <= ns2; ++k) { kc = np2 - k; x[k] = w[k - 1] * xh[kc] + w[kc - 1] * xh[k]; x[kc] = w[k - 1] * xh[k] - w[kc - 1] * xh[kc]; } if (modn == 0) { x[ns2 + 1] = w[ns2] * xh[ns2 + 1]; } rfftf(n, &x[1], &xh[1]); for (i = 3; i <= n; i += 2) { xim1 = x[i - 1] - x[i]; x[i] = x[i - 1] + x[i]; x[i - 1] = xim1; } } /* cosqf1 */ void cosqf(integer n, real *x, real *wsave) { static const real sqrt2 = 1.4142135623731f; /* Local variables */ real tsqx; /* Parameter adjustments */ --wsave; --x; if (n == 2) { tsqx = sqrt2 * x[2]; x[2] = x[1] - tsqx; x[1] += tsqx; } else if (n > 2) { cosqf1(n, &x[1], &wsave[1], &wsave[n + 1]); } } /* cosqf */ void cosqi(integer n, real *wsave) { /* Local variables */ integer k; real fk, dt; /* Parameter adjustments */ --wsave; dt = M_PI/2 / (real) (n); fk = 0.f; for (k = 1; k <= n; ++k) { fk += 1.f; wsave[k] = cos(fk * dt); } rffti(n, &wsave[n + 1]); } /* cosqi */ void cost(integer n, real *x, real *wsave) { /* Local variables */ integer i, k; real c1, t1, t2; integer kc; real xi; integer nm1, np1; real x1h; integer ns2; real tx2, x1p3, xim2; integer modn; /* Parameter adjustments */ --wsave; --x; /* Function Body */ nm1 = n - 1; np1 = n + 1; ns2 = n / 2; if (n < 2) { } else if (n == 2) { x1h = x[1] + x[2]; x[2] = x[1] - x[2]; x[1] = x1h; } else if (n == 3) { x1p3 = x[1] + x[3]; tx2 = x[2] + x[2]; x[2] = x[1] - x[3]; x[1] = x1p3 + tx2; x[3] = x1p3 - tx2; } else { c1 = x[1] - x[n]; x[1] += x[n]; for (k = 2; k <= ns2; ++k) { kc = np1 - k; t1 = x[k] + x[kc]; t2 = x[k] - x[kc]; c1 += wsave[kc] * t2; t2 = wsave[k] * t2; x[k] = t1 - t2; x[kc] = t1 + t2; } modn = n % 2; if (modn != 0) { x[ns2 + 1] += x[ns2 + 1]; } rfftf(nm1, &x[1], &wsave[n + 1]); xim2 = x[2]; x[2] = c1; for (i = 4; i <= n; i += 2) { xi = x[i]; x[i] = x[i - 2] - x[i - 1]; x[i - 1] = xim2; xim2 = xi; } if (modn != 0) { x[n] = xim2; } } } /* cost */ void costi(integer n, real *wsave) { /* Initialized data */ /* Local variables */ integer k, kc; real fk, dt; integer nm1, np1, ns2; /* Parameter adjustments */ --wsave; /* Function Body */ if (n <= 3) { return; } nm1 = n - 1; np1 = n + 1; ns2 = n / 2; dt = M_PI / (real) nm1; fk = 0.f; for (k = 2; k <= ns2; ++k) { kc = np1 - k; fk += 1.f; wsave[k] = sin(fk * dt) * 2.f; wsave[kc] = cos(fk * dt) * 2.f; } rffti(nm1, &wsave[n + 1]); } /* costi */ void sinqb(integer n, real *x, real *wsave) { /* Local variables */ integer k, kc, ns2; real xhold; /* Parameter adjustments */ --wsave; --x; /* Function Body */ if (n <= 1) { x[1] *= 4.f; return; } ns2 = n / 2; for (k = 2; k <= n; k += 2) { x[k] = -x[k]; } cosqb(n, &x[1], &wsave[1]); for (k = 1; k <= ns2; ++k) { kc = n - k; xhold = x[k]; x[k] = x[kc + 1]; x[kc + 1] = xhold; } } /* sinqb */ void sinqf(integer n, real *x, real *wsave) { /* Local variables */ integer k, kc, ns2; real xhold; /* Parameter adjustments */ --wsave; --x; /* Function Body */ if (n == 1) { return; } ns2 = n / 2; for (k = 1; k <= ns2; ++k) { kc = n - k; xhold = x[k]; x[k] = x[kc + 1]; x[kc + 1] = xhold; } cosqf(n, &x[1], &wsave[1]); for (k = 2; k <= n; k += 2) { x[k] = -x[k]; } } /* sinqf */ void sinqi(integer n, real *wsave) { /* Parameter adjustments */ --wsave; /* Function Body */ cosqi(n, &wsave[1]); } /* sinqi */ static void sint1(integer n, real *war, real *was, real *xh, real * x, integer *ifac) { /* Initialized data */ static const real sqrt3 = 1.73205080756888f; /* Local variables */ integer i, k; real t1, t2; integer kc, np1, ns2, modn; real xhold; /* Parameter adjustments */ --ifac; --x; --xh; --was; --war; /* Function Body */ for (i = 1; i <= n; ++i) { xh[i] = war[i]; war[i] = x[i]; } if (n < 2) { xh[1] += xh[1]; } else if (n == 2) { xhold = sqrt3 * (xh[1] + xh[2]); xh[2] = sqrt3 * (xh[1] - xh[2]); xh[1] = xhold; } else { np1 = n + 1; ns2 = n / 2; x[1] = 0.f; for (k = 1; k <= ns2; ++k) { kc = np1 - k; t1 = xh[k] - xh[kc]; t2 = was[k] * (xh[k] + xh[kc]); x[k + 1] = t1 + t2; x[kc + 1] = t2 - t1; } modn = n % 2; if (modn != 0) { x[ns2 + 2] = xh[ns2 + 1] * 4.f; } rfftf1(np1, &x[1], &xh[1], &war[1], &ifac[1]); xh[1] = x[1] * .5f; for (i = 3; i <= n; i += 2) { xh[i - 1] = -x[i]; xh[i] = xh[i - 2] + x[i - 1]; } if (modn == 0) { xh[n] = -x[n + 1]; } } for (i = 1; i <= n; ++i) { x[i] = war[i]; war[i] = xh[i]; } } /* sint1 */ void sinti(integer n, real *wsave) { /* Local variables */ integer k; real dt; integer np1, ns2; /* Parameter adjustments */ --wsave; /* Function Body */ if (n <= 1) { return; } ns2 = n / 2; np1 = n + 1; dt = M_PI / (real) np1; for (k = 1; k <= ns2; ++k) { wsave[k] = sin(k * dt) * 2.f; } rffti(np1, &wsave[ns2 + 1]); } /* sinti */ void sint(integer n, real *x, real *wsave) { integer np1, iw1, iw2, iw3; /* Parameter adjustments */ --wsave; --x; /* Function Body */ np1 = n + 1; iw1 = n / 2 + 1; iw2 = iw1 + np1; iw3 = iw2 + np1; sint1(n, &x[1], &wsave[1], &wsave[iw1], &wsave[iw2], (int*)&wsave[iw3]); } /* sint */ #ifdef TESTING_FFTPACK #include int main(void) { static integer nd[] = { 120,91,54,49,32,28,24,8,4,3,2 }; /* System generated locals */ real r1, r2, r3; f77complex q1, q2, q3; /* Local variables */ integer i, j, k, n; real w[2000], x[200], y[200], cf, fn, dt; f77complex cx[200], cy[200]; real xh[200]; integer nz, nm1, np1, ns2; real arg, tfn; real sum, arg1, arg2; real sum1, sum2, dcfb; integer modn; real rftb, rftf; real sqrt2; real rftfb; real costt, sintt, dcfftb, dcfftf, cosqfb, costfb; real sinqfb; real sintfb; real cosqbt, cosqft, sinqbt, sinqft; /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */ /* VERSION 4 APRIL 1985 */ /* A TEST DRIVER FOR */ /* A PACKAGE OF FORTRAN SUBPROGRAMS FOR THE FAST FOURIER */ /* TRANSFORM OF PERIODIC AND OTHER SYMMETRIC SEQUENCES */ /* BY */ /* PAUL N SWARZTRAUBER */ /* NATIONAL CENTER FOR ATMOSPHERIC RESEARCH BOULDER,COLORADO 80307 */ /* WHICH IS SPONSORED BY THE NATIONAL SCIENCE FOUNDATION */ /* * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * */ /* THIS PROGRAM TESTS THE PACKAGE OF FAST FOURIER */ /* TRANSFORMS FOR BOTH COMPLEX AND REAL PERIODIC SEQUENCES AND */ /* CERTIAN OTHER SYMMETRIC SEQUENCES THAT ARE LISTED BELOW. */ /* 1. RFFTI INITIALIZE RFFTF AND RFFTB */ /* 2. RFFTF FORWARD TRANSFORM OF A REAL PERIODIC SEQUENCE */ /* 3. RFFTB BACKWARD TRANSFORM OF A REAL COEFFICIENT ARRAY */ /* 4. EZFFTI INITIALIZE EZFFTF AND EZFFTB */ /* 5. EZFFTF A SIMPLIFIED REAL PERIODIC FORWARD TRANSFORM */ /* 6. EZFFTB A SIMPLIFIED REAL PERIODIC BACKWARD TRANSFORM */ /* 7. SINTI INITIALIZE SINT */ /* 8. SINT SINE TRANSFORM OF A REAL ODD SEQUENCE */ /* 9. COSTI INITIALIZE COST */ /* 10. COST COSINE TRANSFORM OF A REAL EVEN SEQUENCE */ /* 11. SINQI INITIALIZE SINQF AND SINQB */ /* 12. SINQF FORWARD SINE TRANSFORM WITH ODD WAVE NUMBERS */ /* 13. SINQB UNNORMALIZED INVERSE OF SINQF */ /* 14. COSQI INITIALIZE COSQF AND COSQB */ /* 15. COSQF FORWARD COSINE TRANSFORM WITH ODD WAVE NUMBERS */ /* 16. COSQB UNNORMALIZED INVERSE OF COSQF */ /* 17. CFFTI INITIALIZE CFFTF AND CFFTB */ /* 18. CFFTF FORWARD TRANSFORM OF A COMPLEX PERIODIC SEQUENCE */ /* 19. CFFTB UNNORMALIZED INVERSE OF CFFTF */ sqrt2 = sqrt(2.f); int all_ok = 1; for (nz = 1; nz <= (int)(sizeof nd/sizeof nd[0]); ++nz) { n = nd[nz - 1]; modn = n % 2; fn = (real) n; tfn = fn + fn; np1 = n + 1; nm1 = n - 1; for (j = 1; j <= np1; ++j) { x[j - 1] = sin((real) j * sqrt2); y[j - 1] = x[j - 1]; xh[j - 1] = x[j - 1]; } /* TEST SUBROUTINES RFFTI,RFFTF AND RFFTB */ rffti(n, w); dt = (2*M_PI) / fn; ns2 = (n + 1) / 2; if (ns2 < 2) { goto L104; } for (k = 2; k <= ns2; ++k) { sum1 = 0.f; sum2 = 0.f; arg = (real) (k - 1) * dt; for (i = 1; i <= n; ++i) { arg1 = (real) (i - 1) * arg; sum1 += x[i - 1] * cos(arg1); sum2 += x[i - 1] * sin(arg1); } y[(k << 1) - 3] = sum1; y[(k << 1) - 2] = -sum2; } L104: sum1 = 0.f; sum2 = 0.f; for (i = 1; i <= nm1; i += 2) { sum1 += x[i - 1]; sum2 += x[i]; } if (modn == 1) { sum1 += x[n - 1]; } y[0] = sum1 + sum2; if (modn == 0) { y[n - 1] = sum1 - sum2; } rfftf(n, x, w); rftf = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = rftf, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); rftf = dmax(r2,r3); x[i - 1] = xh[i - 1]; } rftf /= fn; for (i = 1; i <= n; ++i) { sum = x[0] * .5f; arg = (real) (i - 1) * dt; if (ns2 < 2) { goto L108; } for (k = 2; k <= ns2; ++k) { arg1 = (real) (k - 1) * arg; sum = sum + x[(k << 1) - 3] * cos(arg1) - x[(k << 1) - 2] * sin(arg1); } L108: if (modn == 0) { sum += (real)pow(-1, i-1) * .5f * x[n - 1]; } y[i - 1] = sum + sum; } rfftb(n, x, w); rftb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = rftb, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); rftb = dmax(r2,r3); x[i - 1] = xh[i - 1]; y[i - 1] = xh[i - 1]; } rfftb(n, y, w); rfftf(n, y, w); cf = 1.f / fn; rftfb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = rftfb, r3 = (r1 = cf * y[i - 1] - x[i - 1], fabs( r1)); rftfb = dmax(r2,r3); } /* TEST SUBROUTINES SINTI AND SINT */ dt = M_PI / fn; for (i = 1; i <= nm1; ++i) { x[i - 1] = xh[i - 1]; } for (i = 1; i <= nm1; ++i) { y[i - 1] = 0.f; arg1 = (real) i * dt; for (k = 1; k <= nm1; ++k) { y[i - 1] += x[k - 1] * sin((real) k * arg1); } y[i - 1] += y[i - 1]; } sinti(nm1, w); sint(nm1, x, w); cf = .5f / fn; sintt = 0.f; for (i = 1; i <= nm1; ++i) { /* Computing MAX */ r2 = sintt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); sintt = dmax(r2,r3); x[i - 1] = xh[i - 1]; y[i - 1] = x[i - 1]; } sintt = cf * sintt; sint(nm1, x, w); sint(nm1, x, w); sintfb = 0.f; for (i = 1; i <= nm1; ++i) { /* Computing MAX */ r2 = sintfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs( r1)); sintfb = dmax(r2,r3); } /* TEST SUBROUTINES COSTI AND COST */ for (i = 1; i <= np1; ++i) { x[i - 1] = xh[i - 1]; } for (i = 1; i <= np1; ++i) { y[i - 1] = (x[0] + (real) pow(-1, i+1) * x[n]) * .5f; arg = (real) (i - 1) * dt; for (k = 2; k <= n; ++k) { y[i - 1] += x[k - 1] * cos((real) (k - 1) * arg); } y[i - 1] += y[i - 1]; } costi(np1, w); cost(np1, x, w); costt = 0.f; for (i = 1; i <= np1; ++i) { /* Computing MAX */ r2 = costt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)); costt = dmax(r2,r3); x[i - 1] = xh[i - 1]; y[i - 1] = xh[i - 1]; } costt = cf * costt; cost(np1, x, w); cost(np1, x, w); costfb = 0.f; for (i = 1; i <= np1; ++i) { /* Computing MAX */ r2 = costfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs( r1)); costfb = dmax(r2,r3); } /* TEST SUBROUTINES SINQI,SINQF AND SINQB */ cf = .25f / fn; for (i = 1; i <= n; ++i) { y[i - 1] = xh[i - 1]; } dt = M_PI / (fn + fn); for (i = 1; i <= n; ++i) { x[i - 1] = 0.f; arg = dt * (real) i; for (k = 1; k <= n; ++k) { x[i - 1] += y[k - 1] * sin((real) (k + k - 1) * arg); } x[i - 1] *= 4.f; } sinqi(n, w); sinqb(n, y, w); sinqbt = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = sinqbt, r3 = (r1 = y[i - 1] - x[i - 1], fabs(r1)) ; sinqbt = dmax(r2,r3); x[i - 1] = xh[i - 1]; } sinqbt = cf * sinqbt; for (i = 1; i <= n; ++i) { arg = (real) (i + i - 1) * dt; y[i - 1] = (real) pow(-1, i+1) * .5f * x[n - 1]; for (k = 1; k <= nm1; ++k) { y[i - 1] += x[k - 1] * sin((real) k * arg); } y[i - 1] += y[i - 1]; } sinqf(n, x, w); sinqft = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = sinqft, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)) ; sinqft = dmax(r2,r3); y[i - 1] = xh[i - 1]; x[i - 1] = xh[i - 1]; } sinqf(n, y, w); sinqb(n, y, w); sinqfb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = sinqfb, r3 = (r1 = cf * y[i - 1] - x[i - 1], fabs( r1)); sinqfb = dmax(r2,r3); } /* TEST SUBROUTINES COSQI,COSQF AND COSQB */ for (i = 1; i <= n; ++i) { y[i - 1] = xh[i - 1]; } for (i = 1; i <= n; ++i) { x[i - 1] = 0.f; arg = (real) (i - 1) * dt; for (k = 1; k <= n; ++k) { x[i - 1] += y[k - 1] * cos((real) (k + k - 1) * arg); } x[i - 1] *= 4.f; } cosqi(n, w); cosqb(n, y, w); cosqbt = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = cosqbt, r3 = (r1 = x[i - 1] - y[i - 1], fabs(r1)) ; cosqbt = dmax(r2,r3); x[i - 1] = xh[i - 1]; } cosqbt = cf * cosqbt; for (i = 1; i <= n; ++i) { y[i - 1] = x[0] * .5f; arg = (real) (i + i - 1) * dt; for (k = 2; k <= n; ++k) { y[i - 1] += x[k - 1] * cos((real) (k - 1) * arg); } y[i - 1] += y[i - 1]; } cosqf(n, x, w); cosqft = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = cosqft, r3 = (r1 = y[i - 1] - x[i - 1], fabs(r1)) ; cosqft = dmax(r2,r3); x[i - 1] = xh[i - 1]; y[i - 1] = xh[i - 1]; } cosqft = cf * cosqft; cosqb(n, x, w); cosqf(n, x, w); cosqfb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ r2 = cosqfb, r3 = (r1 = cf * x[i - 1] - y[i - 1], fabs(r1)); cosqfb = dmax(r2,r3); } /* TEST CFFTI,CFFTF,CFFTB */ for (i = 1; i <= n; ++i) { r1 = cos(sqrt2 * (real) i); r2 = sin(sqrt2 * (real) (i * i)); q1.r = r1, q1.i = r2; cx[i-1].r = q1.r, cx[i-1].i = q1.i; } dt = (2*M_PI) / fn; for (i = 1; i <= n; ++i) { arg1 = -((real) (i - 1)) * dt; cy[i-1].r = 0.f, cy[i-1].i = 0.f; for (k = 1; k <= n; ++k) { arg2 = (real) (k - 1) * arg1; r1 = cos(arg2); r2 = sin(arg2); q3.r = r1, q3.i = r2; q2.r = q3.r * cx[k-1].r - q3.i * cx[k-1].i, q2.i = q3.r * cx[k-1].i + q3.i * cx[k-1].r; q1.r = cy[i-1].r + q2.r, q1.i = cy[i-1].i + q2.i; cy[i-1].r = q1.r, cy[i-1].i = q1.i; } } cffti(n, w); cfftf(n, (real*)cx, w); dcfftf = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ q1.r = cx[i-1].r - cy[i-1].r, q1.i = cx[i-1].i - cy[i-1] .i; r1 = dcfftf, r2 = c_abs(&q1); dcfftf = dmax(r1,r2); q1.r = cx[i-1].r / fn, q1.i = cx[i-1].i / fn; cx[i-1].r = q1.r, cx[i-1].i = q1.i; } dcfftf /= fn; for (i = 1; i <= n; ++i) { arg1 = (real) (i - 1) * dt; cy[i-1].r = 0.f, cy[i-1].i = 0.f; for (k = 1; k <= n; ++k) { arg2 = (real) (k - 1) * arg1; r1 = cos(arg2); r2 = sin(arg2); q3.r = r1, q3.i = r2; q2.r = q3.r * cx[k-1].r - q3.i * cx[k-1].i, q2.i = q3.r * cx[k-1].i + q3.i * cx[k-1].r; q1.r = cy[i-1].r + q2.r, q1.i = cy[i-1].i + q2.i; cy[i-1].r = q1.r, cy[i-1].i = q1.i; } } cfftb(n, (real*)cx, w); dcfftb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ q1.r = cx[i-1].r - cy[i-1].r, q1.i = cx[i-1].i - cy[i-1].i; r1 = dcfftb, r2 = c_abs(&q1); dcfftb = dmax(r1,r2); cx[i-1].r = cy[i-1].r, cx[i-1].i = cy[i-1].i; } cf = 1.f / fn; cfftf(n, (real*)cx, w); cfftb(n, (real*)cx, w); dcfb = 0.f; for (i = 1; i <= n; ++i) { /* Computing MAX */ q2.r = cf * cx[i-1].r, q2.i = cf * cx[i-1].i; q1.r = q2.r - cy[i-1].r, q1.i = q2.i - cy[i-1].i; r1 = dcfb, r2 = c_abs(&q1); dcfb = dmax(r1,r2); } printf("%d\tRFFTF %10.3g\tRFFTB %10.ge\tRFFTFB %10.3g", n, rftf, rftb, rftfb); printf( "\tSINT %10.3g\tSINTFB %10.ge\tCOST %10.3g\n", sintt, sintfb, costt); printf( "\tCOSTFB %10.3g\tSINQF %10.ge\tSINQB %10.3g", costfb, sinqft, sinqbt); printf( "\tSINQFB %10.3g\tCOSQF %10.ge\tCOSQB %10.3g\n", sinqfb, cosqft, cosqbt); printf( "\tCOSQFB %10.3g\t", cosqfb); printf( "\tCFFTF %10.ge\tCFFTB %10.3g\n", dcfftf, dcfftb); printf( "\tCFFTFB %10.3g\n", dcfb); #define CHECK(x) if (x > 1e-3) { printf(#x " failed: %g\n", x); all_ok = 0; } CHECK(rftf); CHECK(rftb); CHECK(rftfb); CHECK(sintt); CHECK(sintfb); CHECK(costt); CHECK(costfb); CHECK(sinqft); CHECK(sinqbt); CHECK(sinqfb); CHECK(cosqft); CHECK(cosqbt); CHECK(cosqfb); CHECK(dcfftf); CHECK(dcfftb); } if (all_ok) printf("Everything looks fine.\n"); else printf("ERRORS WERE DETECTED.\n"); /* expected: 120 RFFTF 2.786e-06 RFFTB 6.847e-04 RFFTFB 2.795e-07 SINT 1.312e-06 SINTFB 1.237e-06 COST 1.319e-06 COSTFB 4.355e-06 SINQF 3.281e-04 SINQB 1.876e-06 SINQFB 2.198e-07 COSQF 6.199e-07 COSQB 2.193e-06 COSQFB 2.300e-07 DEZF 5.573e-06 DEZB 1.363e-05 DEZFB 1.371e-06 CFFTF 5.590e-06 CFFTB 4.751e-05 CFFTFB 4.215e-07 54 RFFTF 4.708e-07 RFFTB 3.052e-05 RFFTFB 3.439e-07 SINT 3.532e-07 SINTFB 4.145e-07 COST 3.002e-07 COSTFB 6.343e-07 SINQF 4.959e-05 SINQB 4.415e-07 SINQFB 2.882e-07 COSQF 2.826e-07 COSQB 2.472e-07 COSQFB 3.439e-07 DEZF 9.388e-07 DEZB 5.066e-06 DEZFB 5.960e-07 CFFTF 1.426e-06 CFFTB 9.482e-06 CFFTFB 2.980e-07 49 RFFTF 4.476e-07 RFFTB 5.341e-05 RFFTFB 2.574e-07 SINT 9.196e-07 SINTFB 9.401e-07 COST 8.174e-07 COSTFB 1.331e-06 SINQF 4.005e-05 SINQB 9.342e-07 SINQFB 3.057e-07 COSQF 2.530e-07 COSQB 6.228e-07 COSQFB 4.826e-07 DEZF 9.071e-07 DEZB 4.590e-06 DEZFB 5.960e-07 CFFTF 2.095e-06 CFFTB 1.414e-05 CFFTFB 7.398e-07 32 RFFTF 4.619e-07 RFFTB 2.861e-05 RFFTFB 1.192e-07 SINT 3.874e-07 SINTFB 4.172e-07 COST 4.172e-07 COSTFB 1.699e-06 SINQF 2.551e-05 SINQB 6.407e-07 SINQFB 2.980e-07 COSQF 1.639e-07 COSQB 1.714e-07 COSQFB 2.384e-07 DEZF 1.013e-06 DEZB 2.339e-06 DEZFB 7.749e-07 CFFTF 1.127e-06 CFFTB 6.744e-06 CFFTFB 2.666e-07 4 RFFTF 1.490e-08 RFFTB 1.490e-07 RFFTFB 5.960e-08 SINT 7.451e-09 SINTFB 0.000e+00 COST 2.980e-08 COSTFB 1.192e-07 SINQF 4.768e-07 SINQB 2.980e-08 SINQFB 5.960e-08 COSQF 2.608e-08 COSQB 5.960e-08 COSQFB 1.192e-07 DEZF 2.980e-08 DEZB 5.960e-08 DEZFB 0.000e+00 CFFTF 6.664e-08 CFFTB 5.960e-08 CFFTFB 6.144e-08 3 RFFTF 3.974e-08 RFFTB 1.192e-07 RFFTFB 3.303e-08 SINT 1.987e-08 SINTFB 1.069e-08 COST 4.967e-08 COSTFB 5.721e-08 SINQF 8.941e-08 SINQB 2.980e-08 SINQFB 1.259e-07 COSQF 7.451e-09 COSQB 4.967e-08 COSQFB 7.029e-08 DEZF 1.192e-07 DEZB 5.960e-08 DEZFB 5.960e-08 CFFTF 7.947e-08 CFFTB 8.429e-08 CFFTFB 9.064e-08 2 RFFTF 0.000e+00 RFFTB 0.000e+00 RFFTFB 0.000e+00 SINT 0.000e+00 SINTFB 0.000e+00 COST 0.000e+00 COSTFB 0.000e+00 SINQF 1.192e-07 SINQB 2.980e-08 SINQFB 5.960e-08 COSQF 7.451e-09 COSQB 1.490e-08 COSQFB 0.000e+00 DEZF 0.000e+00 DEZB 0.000e+00 DEZFB 0.000e+00 CFFTF 0.000e+00 CFFTB 5.960e-08 CFFTFB 5.960e-08 Everything looks fine. */ return all_ok ? 0 : 1; } #endif //TESTING_FFTPACK ===== pffft/fftpack.h ===== /* Interface for the f2c translation of fftpack as found on http://www.netlib.org/fftpack/ FFTPACK license: http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html Copyright (c) 2004 the University Corporation for Atmospheric Research ("UCAR"). All rights reserved. Developed by NCAR's Computational and Information Systems Laboratory, UCAR, www.cisl.ucar.edu. Redistribution and use of the Software in source and binary forms, with or without modification, is permitted provided that the following conditions are met: - Neither the names of NCAR's Computational and Information Systems Laboratory, the University Corporation for Atmospheric Research, nor the names of its sponsors or contributors may be used to endorse or promote products derived from this Software without specific prior written permission. - Redistributions of source code must retain the above copyright notices, this list of conditions, and the disclaimer below. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the disclaimer below in the documentation and/or other materials provided with the distribution. THIS 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 CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 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 WITH THE SOFTWARE. ChangeLog: 2011/10/02: this is my first release of this file. */ #ifndef FFTPACK_H #define FFTPACK_H #ifdef __cplusplus extern "C" { #endif // just define FFTPACK_DOUBLE_PRECISION if you want to build it as a double precision fft #ifndef FFTPACK_DOUBLE_PRECISION typedef float fftpack_real; typedef int fftpack_int; #else typedef double fftpack_real; typedef int fftpack_int; #endif void cffti(fftpack_int n, fftpack_real *wsave); void cfftf(fftpack_int n, fftpack_real *c, fftpack_real *wsave); void cfftb(fftpack_int n, fftpack_real *c, fftpack_real *wsave); void rffti(fftpack_int n, fftpack_real *wsave); void rfftf(fftpack_int n, fftpack_real *r, fftpack_real *wsave); void rfftb(fftpack_int n, fftpack_real *r, fftpack_real *wsave); void cosqi(fftpack_int n, fftpack_real *wsave); void cosqf(fftpack_int n, fftpack_real *x, fftpack_real *wsave); void cosqb(fftpack_int n, fftpack_real *x, fftpack_real *wsave); void costi(fftpack_int n, fftpack_real *wsave); void cost(fftpack_int n, fftpack_real *x, fftpack_real *wsave); void sinqi(fftpack_int n, fftpack_real *wsave); void sinqb(fftpack_int n, fftpack_real *x, fftpack_real *wsave); void sinqf(fftpack_int n, fftpack_real *x, fftpack_real *wsave); void sinti(fftpack_int n, fftpack_real *wsave); void sint(fftpack_int n, fftpack_real *x, fftpack_real *wsave); #ifdef __cplusplus } #endif #endif /* FFTPACK_H */ /* FFTPACK * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * version 4 april 1985 a package of fortran subprograms for the fast fourier transform of periodic and other symmetric sequences by paul n swarztrauber national center for atmospheric research boulder,colorado 80307 which is sponsored by the national science foundation * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * this package consists of programs which perform fast fourier transforms for both complex and real periodic sequences and certain other symmetric sequences that are listed below. 1. rffti initialize rfftf and rfftb 2. rfftf forward transform of a real periodic sequence 3. rfftb backward transform of a real coefficient array 4. ezffti initialize ezfftf and ezfftb 5. ezfftf a simplified real periodic forward transform 6. ezfftb a simplified real periodic backward transform 7. sinti initialize sint 8. sint sine transform of a real odd sequence 9. costi initialize cost 10. cost cosine transform of a real even sequence 11. sinqi initialize sinqf and sinqb 12. sinqf forward sine transform with odd wave numbers 13. sinqb unnormalized inverse of sinqf 14. cosqi initialize cosqf and cosqb 15. cosqf forward cosine transform with odd wave numbers 16. cosqb unnormalized inverse of cosqf 17. cffti initialize cfftf and cfftb 18. cfftf forward transform of a complex periodic sequence 19. cfftb unnormalized inverse of cfftf ****************************************************************** subroutine rffti(n,wsave) **************************************************************** subroutine rffti initializes the array wsave which is used in both rfftf and rfftb. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the sequence to be transformed. output parameter wsave a work array which must be dimensioned at least 2*n+15. the same work array can be used for both rfftf and rfftb as long as n remains unchanged. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of rfftf or rfftb. ****************************************************************** subroutine rfftf(n,r,wsave) ****************************************************************** subroutine rfftf computes the fourier coefficients of a real perodic sequence (fourier analysis). the transform is defined below at output parameter r. input parameters n the length of the array r to be transformed. the method is most efficient when n is a product of small primes. n may change so long as different work arrays are provided r a real array of length n which contains the sequence to be transformed wsave a work array which must be dimensioned at least 2*n+15. in the program that calls rfftf. the wsave array must be initialized by calling subroutine rffti(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. the same wsave array can be used by rfftf and rfftb. output parameters r r(1) = the sum from i=1 to i=n of r(i) if n is even set l =n/2 , if n is odd set l = (n+1)/2 then for k = 2,...,l r(2*k-2) = the sum from i = 1 to i = n of r(i)*cos((k-1)*(i-1)*2*pi/n) r(2*k-1) = the sum from i = 1 to i = n of -r(i)*sin((k-1)*(i-1)*2*pi/n) if n is even r(n) = the sum from i = 1 to i = n of (-1)**(i-1)*r(i) ***** note this transform is unnormalized since a call of rfftf followed by a call of rfftb will multiply the input sequence by n. wsave contains results which must not be destroyed between calls of rfftf or rfftb. ****************************************************************** subroutine rfftb(n,r,wsave) ****************************************************************** subroutine rfftb computes the real perodic sequence from its fourier coefficients (fourier synthesis). the transform is defined below at output parameter r. input parameters n the length of the array r to be transformed. the method is most efficient when n is a product of small primes. n may change so long as different work arrays are provided r a real array of length n which contains the sequence to be transformed wsave a work array which must be dimensioned at least 2*n+15. in the program that calls rfftb. the wsave array must be initialized by calling subroutine rffti(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. the same wsave array can be used by rfftf and rfftb. output parameters r for n even and for i = 1,...,n r(i) = r(1)+(-1)**(i-1)*r(n) plus the sum from k=2 to k=n/2 of 2.*r(2*k-2)*cos((k-1)*(i-1)*2*pi/n) -2.*r(2*k-1)*sin((k-1)*(i-1)*2*pi/n) for n odd and for i = 1,...,n r(i) = r(1) plus the sum from k=2 to k=(n+1)/2 of 2.*r(2*k-2)*cos((k-1)*(i-1)*2*pi/n) -2.*r(2*k-1)*sin((k-1)*(i-1)*2*pi/n) ***** note this transform is unnormalized since a call of rfftf followed by a call of rfftb will multiply the input sequence by n. wsave contains results which must not be destroyed between calls of rfftb or rfftf. ****************************************************************** subroutine sinti(n,wsave) ****************************************************************** subroutine sinti initializes the array wsave which is used in subroutine sint. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the sequence to be transformed. the method is most efficient when n+1 is a product of small primes. output parameter wsave a work array with at least int(2.5*n+15) locations. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of sint. ****************************************************************** subroutine sint(n,x,wsave) ****************************************************************** subroutine sint computes the discrete fourier sine transform of an odd sequence x(i). the transform is defined below at output parameter x. sint is the unnormalized inverse of itself since a call of sint followed by another call of sint will multiply the input sequence x by 2*(n+1). the array wsave which is used by subroutine sint must be initialized by calling subroutine sinti(n,wsave). input parameters n the length of the sequence to be transformed. the method is most efficient when n+1 is the product of small primes. x an array which contains the sequence to be transformed wsave a work array with dimension at least int(2.5*n+15) in the program that calls sint. the wsave array must be initialized by calling subroutine sinti(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i)= the sum from k=1 to k=n 2*x(k)*sin(k*i*pi/(n+1)) a call of sint followed by another call of sint will multiply the sequence x by 2*(n+1). hence sint is the unnormalized inverse of itself. wsave contains initialization calculations which must not be destroyed between calls of sint. ****************************************************************** subroutine costi(n,wsave) ****************************************************************** subroutine costi initializes the array wsave which is used in subroutine cost. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the sequence to be transformed. the method is most efficient when n-1 is a product of small primes. output parameter wsave a work array which must be dimensioned at least 3*n+15. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of cost. ****************************************************************** subroutine cost(n,x,wsave) ****************************************************************** subroutine cost computes the discrete fourier cosine transform of an even sequence x(i). the transform is defined below at output parameter x. cost is the unnormalized inverse of itself since a call of cost followed by another call of cost will multiply the input sequence x by 2*(n-1). the transform is defined below at output parameter x the array wsave which is used by subroutine cost must be initialized by calling subroutine costi(n,wsave). input parameters n the length of the sequence x. n must be greater than 1. the method is most efficient when n-1 is a product of small primes. x an array which contains the sequence to be transformed wsave a work array which must be dimensioned at least 3*n+15 in the program that calls cost. the wsave array must be initialized by calling subroutine costi(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i) = x(1)+(-1)**(i-1)*x(n) + the sum from k=2 to k=n-1 2*x(k)*cos((k-1)*(i-1)*pi/(n-1)) a call of cost followed by another call of cost will multiply the sequence x by 2*(n-1) hence cost is the unnormalized inverse of itself. wsave contains initialization calculations which must not be destroyed between calls of cost. ****************************************************************** subroutine sinqi(n,wsave) ****************************************************************** subroutine sinqi initializes the array wsave which is used in both sinqf and sinqb. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the sequence to be transformed. the method is most efficient when n is a product of small primes. output parameter wsave a work array which must be dimensioned at least 3*n+15. the same work array can be used for both sinqf and sinqb as long as n remains unchanged. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of sinqf or sinqb. ****************************************************************** subroutine sinqf(n,x,wsave) ****************************************************************** subroutine sinqf computes the fast fourier transform of quarter wave data. that is , sinqf computes the coefficients in a sine series representation with only odd wave numbers. the transform is defined below at output parameter x. sinqb is the unnormalized inverse of sinqf since a call of sinqf followed by a call of sinqb will multiply the input sequence x by 4*n. the array wsave which is used by subroutine sinqf must be initialized by calling subroutine sinqi(n,wsave). input parameters n the length of the array x to be transformed. the method is most efficient when n is a product of small primes. x an array which contains the sequence to be transformed wsave a work array which must be dimensioned at least 3*n+15. in the program that calls sinqf. the wsave array must be initialized by calling subroutine sinqi(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i) = (-1)**(i-1)*x(n) + the sum from k=1 to k=n-1 of 2*x(k)*sin((2*i-1)*k*pi/(2*n)) a call of sinqf followed by a call of sinqb will multiply the sequence x by 4*n. therefore sinqb is the unnormalized inverse of sinqf. wsave contains initialization calculations which must not be destroyed between calls of sinqf or sinqb. ****************************************************************** subroutine sinqb(n,x,wsave) ****************************************************************** subroutine sinqb computes the fast fourier transform of quarter wave data. that is , sinqb computes a sequence from its representation in terms of a sine series with odd wave numbers. the transform is defined below at output parameter x. sinqf is the unnormalized inverse of sinqb since a call of sinqb followed by a call of sinqf will multiply the input sequence x by 4*n. the array wsave which is used by subroutine sinqb must be initialized by calling subroutine sinqi(n,wsave). input parameters n the length of the array x to be transformed. the method is most efficient when n is a product of small primes. x an array which contains the sequence to be transformed wsave a work array which must be dimensioned at least 3*n+15. in the program that calls sinqb. the wsave array must be initialized by calling subroutine sinqi(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i)= the sum from k=1 to k=n of 4*x(k)*sin((2k-1)*i*pi/(2*n)) a call of sinqb followed by a call of sinqf will multiply the sequence x by 4*n. therefore sinqf is the unnormalized inverse of sinqb. wsave contains initialization calculations which must not be destroyed between calls of sinqb or sinqf. ****************************************************************** subroutine cosqi(n,wsave) ****************************************************************** subroutine cosqi initializes the array wsave which is used in both cosqf and cosqb. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the array to be transformed. the method is most efficient when n is a product of small primes. output parameter wsave a work array which must be dimensioned at least 3*n+15. the same work array can be used for both cosqf and cosqb as long as n remains unchanged. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of cosqf or cosqb. ****************************************************************** subroutine cosqf(n,x,wsave) ****************************************************************** subroutine cosqf computes the fast fourier transform of quarter wave data. that is , cosqf computes the coefficients in a cosine series representation with only odd wave numbers. the transform is defined below at output parameter x cosqf is the unnormalized inverse of cosqb since a call of cosqf followed by a call of cosqb will multiply the input sequence x by 4*n. the array wsave which is used by subroutine cosqf must be initialized by calling subroutine cosqi(n,wsave). input parameters n the length of the array x to be transformed. the method is most efficient when n is a product of small primes. x an array which contains the sequence to be transformed wsave a work array which must be dimensioned at least 3*n+15 in the program that calls cosqf. the wsave array must be initialized by calling subroutine cosqi(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i) = x(1) plus the sum from k=2 to k=n of 2*x(k)*cos((2*i-1)*(k-1)*pi/(2*n)) a call of cosqf followed by a call of cosqb will multiply the sequence x by 4*n. therefore cosqb is the unnormalized inverse of cosqf. wsave contains initialization calculations which must not be destroyed between calls of cosqf or cosqb. ****************************************************************** subroutine cosqb(n,x,wsave) ****************************************************************** subroutine cosqb computes the fast fourier transform of quarter wave data. that is , cosqb computes a sequence from its representation in terms of a cosine series with odd wave numbers. the transform is defined below at output parameter x. cosqb is the unnormalized inverse of cosqf since a call of cosqb followed by a call of cosqf will multiply the input sequence x by 4*n. the array wsave which is used by subroutine cosqb must be initialized by calling subroutine cosqi(n,wsave). input parameters n the length of the array x to be transformed. the method is most efficient when n is a product of small primes. x an array which contains the sequence to be transformed wsave a work array that must be dimensioned at least 3*n+15 in the program that calls cosqb. the wsave array must be initialized by calling subroutine cosqi(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. output parameters x for i=1,...,n x(i)= the sum from k=1 to k=n of 4*x(k)*cos((2*k-1)*(i-1)*pi/(2*n)) a call of cosqb followed by a call of cosqf will multiply the sequence x by 4*n. therefore cosqf is the unnormalized inverse of cosqb. wsave contains initialization calculations which must not be destroyed between calls of cosqb or cosqf. ****************************************************************** subroutine cffti(n,wsave) ****************************************************************** subroutine cffti initializes the array wsave which is used in both cfftf and cfftb. the prime factorization of n together with a tabulation of the trigonometric functions are computed and stored in wsave. input parameter n the length of the sequence to be transformed output parameter wsave a work array which must be dimensioned at least 4*n+15 the same work array can be used for both cfftf and cfftb as long as n remains unchanged. different wsave arrays are required for different values of n. the contents of wsave must not be changed between calls of cfftf or cfftb. ****************************************************************** subroutine cfftf(n,c,wsave) ****************************************************************** subroutine cfftf computes the forward complex discrete fourier transform (the fourier analysis). equivalently , cfftf computes the fourier coefficients of a complex periodic sequence. the transform is defined below at output parameter c. the transform is not normalized. to obtain a normalized transform the output must be divided by n. otherwise a call of cfftf followed by a call of cfftb will multiply the sequence by n. the array wsave which is used by subroutine cfftf must be initialized by calling subroutine cffti(n,wsave). input parameters n the length of the complex sequence c. the method is more efficient when n is the product of small primes. n c a complex array of length n which contains the sequence wsave a real work array which must be dimensioned at least 4n+15 in the program that calls cfftf. the wsave array must be initialized by calling subroutine cffti(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. the same wsave array can be used by cfftf and cfftb. output parameters c for j=1,...,n c(j)=the sum from k=1,...,n of c(k)*exp(-i*(j-1)*(k-1)*2*pi/n) where i=sqrt(-1) wsave contains initialization calculations which must not be destroyed between calls of subroutine cfftf or cfftb ****************************************************************** subroutine cfftb(n,c,wsave) ****************************************************************** subroutine cfftb computes the backward complex discrete fourier transform (the fourier synthesis). equivalently , cfftb computes a complex periodic sequence from its fourier coefficients. the transform is defined below at output parameter c. a call of cfftf followed by a call of cfftb will multiply the sequence by n. the array wsave which is used by subroutine cfftb must be initialized by calling subroutine cffti(n,wsave). input parameters n the length of the complex sequence c. the method is more efficient when n is the product of small primes. c a complex array of length n which contains the sequence wsave a real work array which must be dimensioned at least 4n+15 in the program that calls cfftb. the wsave array must be initialized by calling subroutine cffti(n,wsave) and a different wsave array must be used for each different value of n. this initialization does not have to be repeated so long as n remains unchanged thus subsequent transforms can be obtained faster than the first. the same wsave array can be used by cfftf and cfftb. output parameters c for j=1,...,n c(j)=the sum from k=1,...,n of c(k)*exp(i*(j-1)*(k-1)*2*pi/n) where i=sqrt(-1) wsave contains initialization calculations which must not be destroyed between calls of subroutine cfftf or cfftb */ ===== pffft/pffft.c ===== /* Copyright (c) 2013 Julien Pommier ( pommier@modartt.com ) Based on original fortran 77 code from FFTPACKv4 from NETLIB (http://www.netlib.org/fftpack), authored by Dr Paul Swarztrauber of NCAR, in 1985. As confirmed by the NCAR fftpack software curators, the following FFTPACKv5 license applies to FFTPACKv4 sources. My changes are released under the same terms. FFTPACK license: http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html Copyright (c) 2004 the University Corporation for Atmospheric Research ("UCAR"). All rights reserved. Developed by NCAR's Computational and Information Systems Laboratory, UCAR, www.cisl.ucar.edu. Redistribution and use of the Software in source and binary forms, with or without modification, is permitted provided that the following conditions are met: - Neither the names of NCAR's Computational and Information Systems Laboratory, the University Corporation for Atmospheric Research, nor the names of its sponsors or contributors may be used to endorse or promote products derived from this Software without specific prior written permission. - Redistributions of source code must retain the above copyright notices, this list of conditions, and the disclaimer below. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the disclaimer below in the documentation and/or other materials provided with the distribution. THIS 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 CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 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 WITH THE SOFTWARE. PFFFT : a Pretty Fast FFT. This file is largerly based on the original FFTPACK implementation, modified in order to take advantage of SIMD instructions of modern CPUs. */ /* ChangeLog: - 2011/10/02, version 1: This is the very first release of this file. */ #include "pffft.h" #include #include #include #include /* detect compiler flavour */ #if defined(_MSC_VER) # define COMPILER_MSVC #elif defined(__GNUC__) # define COMPILER_GCC #endif #if defined(COMPILER_GCC) # define ALWAYS_INLINE(return_type) inline return_type __attribute__ ((always_inline)) # define NEVER_INLINE(return_type) return_type __attribute__ ((noinline)) # define RESTRICT __restrict # define VLA_ARRAY_ON_STACK(type__, varname__, size__) type__ varname__[size__]; #elif defined(COMPILER_MSVC) # define ALWAYS_INLINE(return_type) __forceinline return_type # define NEVER_INLINE(return_type) __declspec(noinline) return_type # define RESTRICT __restrict # define VLA_ARRAY_ON_STACK(type__, varname__, size__) type__ *varname__ = (type__*)_alloca(size__ * sizeof(type__)) #endif /* vector support macros: the rest of the code is independant of SSE/Altivec/NEON -- adding support for other platforms with 4-element vectors should be limited to these macros */ // define PFFFT_SIMD_DISABLE if you want to use scalar code instead of simd code //#define PFFFT_SIMD_DISABLE /* Altivec support macros */ #if !defined(PFFFT_SIMD_DISABLE) && (defined(__ppc__) || defined(__ppc64__) || defined(__powerpc__) || defined(__powerpc64__)) #include typedef vector float v4sf; # define SIMD_SZ 4 # define VZERO() ((vector float) vec_splat_u8(0)) # define VMUL(a,b) vec_madd(a,b, VZERO()) # define VADD(a,b) vec_add(a,b) # define VMADD(a,b,c) vec_madd(a,b,c) # define VSUB(a,b) vec_sub(a,b) inline v4sf ld_ps1(const float *p) { v4sf v=vec_lde(0,p); return vec_splat(vec_perm(v, v, vec_lvsl(0, p)), 0); } # define LD_PS1(p) ld_ps1(&p) # define INTERLEAVE2(in1, in2, out1, out2) { v4sf tmp__ = vec_mergeh(in1, in2); out2 = vec_mergel(in1, in2); out1 = tmp__; } # define UNINTERLEAVE2(in1, in2, out1, out2) { \ vector unsigned char vperm1 = (vector unsigned char){0,1,2,3,8,9,10,11,16,17,18,19,24,25,26,27}; \ vector unsigned char vperm2 = (vector unsigned char){4,5,6,7,12,13,14,15,20,21,22,23,28,29,30,31}; \ v4sf tmp__ = vec_perm(in1, in2, vperm1); out2 = vec_perm(in1, in2, vperm2); out1 = tmp__; \ } # define VTRANSPOSE4(x0,x1,x2,x3) { \ v4sf y0 = vec_mergeh(x0, x2); \ v4sf y1 = vec_mergel(x0, x2); \ v4sf y2 = vec_mergeh(x1, x3); \ v4sf y3 = vec_mergel(x1, x3); \ x0 = vec_mergeh(y0, y2); \ x1 = vec_mergel(y0, y2); \ x2 = vec_mergeh(y1, y3); \ x3 = vec_mergel(y1, y3); \ } # define VSWAPHL(a,b) vec_perm(a,b, (vector unsigned char){16,17,18,19,20,21,22,23,8,9,10,11,12,13,14,15}) # define VALIGNED(ptr) ((((long long)(ptr)) & 0xF) == 0) /* SSE1 support macros */ #elif !defined(PFFFT_SIMD_DISABLE) && (defined(__x86_64__) || defined(_M_X64) || defined(__i386__) || defined(i386) || defined(_M_IX86)) #include typedef __m128 v4sf; # define SIMD_SZ 4 // 4 floats by simd vector -- this is pretty much hardcoded in the preprocess/finalize functions anyway so you will have to work if you want to enable AVX with its 256-bit vectors. # define VZERO() _mm_setzero_ps() # define VMUL(a,b) _mm_mul_ps(a,b) # define VADD(a,b) _mm_add_ps(a,b) # define VMADD(a,b,c) _mm_add_ps(_mm_mul_ps(a,b), c) # define VSUB(a,b) _mm_sub_ps(a,b) # define LD_PS1(p) _mm_set1_ps(p) # define INTERLEAVE2(in1, in2, out1, out2) { v4sf tmp__ = _mm_unpacklo_ps(in1, in2); out2 = _mm_unpackhi_ps(in1, in2); out1 = tmp__; } # define UNINTERLEAVE2(in1, in2, out1, out2) { v4sf tmp__ = _mm_shuffle_ps(in1, in2, _MM_SHUFFLE(2,0,2,0)); out2 = _mm_shuffle_ps(in1, in2, _MM_SHUFFLE(3,1,3,1)); out1 = tmp__; } # define VTRANSPOSE4(x0,x1,x2,x3) _MM_TRANSPOSE4_PS(x0,x1,x2,x3) # define VSWAPHL(a,b) _mm_shuffle_ps(b, a, _MM_SHUFFLE(3,2,1,0)) # define VALIGNED(ptr) ((((long long)(ptr)) & 0xF) == 0) /* ARM NEON support macros */ #elif !defined(PFFFT_SIMD_DISABLE) && (defined(__arm__) || defined(__aarch64__) || defined(__arm64__)) # include typedef float32x4_t v4sf; # define SIMD_SZ 4 # define VZERO() vdupq_n_f32(0) # define VMUL(a,b) vmulq_f32(a,b) # define VADD(a,b) vaddq_f32(a,b) # define VMADD(a,b,c) vmlaq_f32(c,a,b) # define VSUB(a,b) vsubq_f32(a,b) # define LD_PS1(p) vld1q_dup_f32(&(p)) # define INTERLEAVE2(in1, in2, out1, out2) { float32x4x2_t tmp__ = vzipq_f32(in1,in2); out1=tmp__.val[0]; out2=tmp__.val[1]; } # define UNINTERLEAVE2(in1, in2, out1, out2) { float32x4x2_t tmp__ = vuzpq_f32(in1,in2); out1=tmp__.val[0]; out2=tmp__.val[1]; } # define VTRANSPOSE4(x0,x1,x2,x3) { \ float32x4x2_t t0_ = vzipq_f32(x0, x2); \ float32x4x2_t t1_ = vzipq_f32(x1, x3); \ float32x4x2_t u0_ = vzipq_f32(t0_.val[0], t1_.val[0]); \ float32x4x2_t u1_ = vzipq_f32(t0_.val[1], t1_.val[1]); \ x0 = u0_.val[0]; x1 = u0_.val[1]; x2 = u1_.val[0]; x3 = u1_.val[1]; \ } // marginally faster version //# define VTRANSPOSE4(x0,x1,x2,x3) { asm("vtrn.32 %q0, %q1;\n vtrn.32 %q2,%q3\n vswp %f0,%e2\n vswp %f1,%e3" : "+w"(x0), "+w"(x1), "+w"(x2), "+w"(x3)::); } # define VSWAPHL(a,b) vcombine_f32(vget_low_f32(b), vget_high_f32(a)) # define VALIGNED(ptr) ((((long long)(ptr)) & 0x3) == 0) #else # if !defined(PFFFT_SIMD_DISABLE) # warning "building with simd disabled !\n"; # define PFFFT_SIMD_DISABLE // fallback to scalar code # endif #endif // fallback mode for situations where SSE/Altivec are not available, use scalar mode instead #ifdef PFFFT_SIMD_DISABLE typedef float v4sf; # define SIMD_SZ 1 # define VZERO() 0.f # define VMUL(a,b) ((a)*(b)) # define VADD(a,b) ((a)+(b)) # define VMADD(a,b,c) ((a)*(b)+(c)) # define VSUB(a,b) ((a)-(b)) # define LD_PS1(p) (p) # define VALIGNED(ptr) ((((long long)(ptr)) & 0x3) == 0) #endif // shortcuts for complex multiplcations #define VCPLXMUL(ar,ai,br,bi) { v4sf tmp; tmp=VMUL(ar,bi); ar=VMUL(ar,br); ar=VSUB(ar,VMUL(ai,bi)); ai=VMUL(ai,br); ai=VADD(ai,tmp); } #define VCPLXMULCONJ(ar,ai,br,bi) { v4sf tmp; tmp=VMUL(ar,bi); ar=VMUL(ar,br); ar=VADD(ar,VMUL(ai,bi)); ai=VMUL(ai,br); ai=VSUB(ai,tmp); } #ifndef SVMUL // multiply a scalar with a vector #define SVMUL(f,v) VMUL(LD_PS1(f),v) #endif #if !defined(PFFFT_SIMD_DISABLE) typedef union v4sf_union { v4sf v; float f[4]; } v4sf_union; #include #define assertv4(v,f0,f1,f2,f3) assert(v.f[0] == (f0) && v.f[1] == (f1) && v.f[2] == (f2) && v.f[3] == (f3)) /* detect bugs with the vector support macros */ void validate_pffft_simd(void) { float f[16] = { 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15 }; v4sf_union a0, a1, a2, a3, t, u; memcpy(a0.f, f, 4*sizeof(float)); memcpy(a1.f, f+4, 4*sizeof(float)); memcpy(a2.f, f+8, 4*sizeof(float)); memcpy(a3.f, f+12, 4*sizeof(float)); t = a0; u = a1; t.v = VZERO(); printf("VZERO=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 0, 0, 0, 0); t.v = VADD(a1.v, a2.v); printf("VADD(4:7,8:11)=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 12, 14, 16, 18); t.v = VMUL(a1.v, a2.v); printf("VMUL(4:7,8:11)=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 32, 45, 60, 77); t.v = VMADD(a1.v, a2.v,a0.v); printf("VMADD(4:7,8:11,0:3)=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 32, 46, 62, 80); INTERLEAVE2(a1.v,a2.v,t.v,u.v); printf("INTERLEAVE2(4:7,8:11)=[%2g %2g %2g %2g] [%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3], u.f[0], u.f[1], u.f[2], u.f[3]); assertv4(t, 4, 8, 5, 9); assertv4(u, 6, 10, 7, 11); UNINTERLEAVE2(a1.v,a2.v,t.v,u.v); printf("UNINTERLEAVE2(4:7,8:11)=[%2g %2g %2g %2g] [%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3], u.f[0], u.f[1], u.f[2], u.f[3]); assertv4(t, 4, 6, 8, 10); assertv4(u, 5, 7, 9, 11); t.v=LD_PS1(f[15]); printf("LD_PS1(15)=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 15, 15, 15, 15); t.v = VSWAPHL(a1.v, a2.v); printf("VSWAPHL(4:7,8:11)=[%2g %2g %2g %2g]\n", t.f[0], t.f[1], t.f[2], t.f[3]); assertv4(t, 8, 9, 6, 7); VTRANSPOSE4(a0.v, a1.v, a2.v, a3.v); printf("VTRANSPOSE4(0:3,4:7,8:11,12:15)=[%2g %2g %2g %2g] [%2g %2g %2g %2g] [%2g %2g %2g %2g] [%2g %2g %2g %2g]\n", a0.f[0], a0.f[1], a0.f[2], a0.f[3], a1.f[0], a1.f[1], a1.f[2], a1.f[3], a2.f[0], a2.f[1], a2.f[2], a2.f[3], a3.f[0], a3.f[1], a3.f[2], a3.f[3]); assertv4(a0, 0, 4, 8, 12); assertv4(a1, 1, 5, 9, 13); assertv4(a2, 2, 6, 10, 14); assertv4(a3, 3, 7, 11, 15); } #else void validate_pffft_simd() {} // allow test_pffft.c to call this function even when simd is not available.. #endif //!PFFFT_SIMD_DISABLE /* SSE and co like 16-bytes aligned pointers */ #define MALLOC_V4SF_ALIGNMENT 64 // with a 64-byte alignment, we are even aligned on L2 cache lines... void *pffft_aligned_malloc(size_t nb_bytes) { void *p, *p0 = malloc(nb_bytes + MALLOC_V4SF_ALIGNMENT); if (!p0) return (void *) 0; p = (void *) (((size_t) p0 + MALLOC_V4SF_ALIGNMENT) & (~((size_t) (MALLOC_V4SF_ALIGNMENT-1)))); *((void **) p - 1) = p0; return p; } void pffft_aligned_free(void *p) { if (p) free(*((void **) p - 1)); } int pffft_simd_size() { return SIMD_SZ; } /* passf2 and passb2 has been merged here, fsign = -1 for passf2, +1 for passb2 */ static NEVER_INLINE(void) passf2_ps(int ido, int l1, const v4sf *cc, v4sf *ch, const float *wa1, float fsign) { int k, i; int l1ido = l1*ido; if (ido <= 2) { for (k=0; k < l1ido; k += ido, ch += ido, cc+= 2*ido) { ch[0] = VADD(cc[0], cc[ido+0]); ch[l1ido] = VSUB(cc[0], cc[ido+0]); ch[1] = VADD(cc[1], cc[ido+1]); ch[l1ido + 1] = VSUB(cc[1], cc[ido+1]); } } else { for (k=0; k < l1ido; k += ido, ch += ido, cc += 2*ido) { for (i=0; i 2); for (k=0; k< l1ido; k += ido, cc+= 3*ido, ch +=ido) { for (i=0; i 2); for (k = 0; k < l1; ++k, cc += 5*ido, ch += ido) { for (i = 0; i < ido-1; i += 2) { ti5 = VSUB(cc_ref(i , 2), cc_ref(i , 5)); ti2 = VADD(cc_ref(i , 2), cc_ref(i , 5)); ti4 = VSUB(cc_ref(i , 3), cc_ref(i , 4)); ti3 = VADD(cc_ref(i , 3), cc_ref(i , 4)); tr5 = VSUB(cc_ref(i-1, 2), cc_ref(i-1, 5)); tr2 = VADD(cc_ref(i-1, 2), cc_ref(i-1, 5)); tr4 = VSUB(cc_ref(i-1, 3), cc_ref(i-1, 4)); tr3 = VADD(cc_ref(i-1, 3), cc_ref(i-1, 4)); ch_ref(i-1, 1) = VADD(cc_ref(i-1, 1), VADD(tr2, tr3)); ch_ref(i , 1) = VADD(cc_ref(i , 1), VADD(ti2, ti3)); cr2 = VADD(cc_ref(i-1, 1), VADD(SVMUL(tr11, tr2),SVMUL(tr12, tr3))); ci2 = VADD(cc_ref(i , 1), VADD(SVMUL(tr11, ti2),SVMUL(tr12, ti3))); cr3 = VADD(cc_ref(i-1, 1), VADD(SVMUL(tr12, tr2),SVMUL(tr11, tr3))); ci3 = VADD(cc_ref(i , 1), VADD(SVMUL(tr12, ti2),SVMUL(tr11, ti3))); cr5 = VADD(SVMUL(ti11, tr5), SVMUL(ti12, tr4)); ci5 = VADD(SVMUL(ti11, ti5), SVMUL(ti12, ti4)); cr4 = VSUB(SVMUL(ti12, tr5), SVMUL(ti11, tr4)); ci4 = VSUB(SVMUL(ti12, ti5), SVMUL(ti11, ti4)); dr3 = VSUB(cr3, ci4); dr4 = VADD(cr3, ci4); di3 = VADD(ci3, cr4); di4 = VSUB(ci3, cr4); dr5 = VADD(cr2, ci5); dr2 = VSUB(cr2, ci5); di5 = VSUB(ci2, cr5); di2 = VADD(ci2, cr5); wr1=wa1[i]; wi1=fsign*wa1[i+1]; wr2=wa2[i]; wi2=fsign*wa2[i+1]; wr3=wa3[i]; wi3=fsign*wa3[i+1]; wr4=wa4[i]; wi4=fsign*wa4[i+1]; VCPLXMUL(dr2, di2, LD_PS1(wr1), LD_PS1(wi1)); ch_ref(i - 1, 2) = dr2; ch_ref(i, 2) = di2; VCPLXMUL(dr3, di3, LD_PS1(wr2), LD_PS1(wi2)); ch_ref(i - 1, 3) = dr3; ch_ref(i, 3) = di3; VCPLXMUL(dr4, di4, LD_PS1(wr3), LD_PS1(wi3)); ch_ref(i - 1, 4) = dr4; ch_ref(i, 4) = di4; VCPLXMUL(dr5, di5, LD_PS1(wr4), LD_PS1(wi4)); ch_ref(i - 1, 5) = dr5; ch_ref(i, 5) = di5; } } #undef ch_ref #undef cc_ref } static NEVER_INLINE(void) radf2_ps(int ido, int l1, const v4sf * RESTRICT cc, v4sf * RESTRICT ch, const float *wa1) { static const float minus_one = -1.f; int i, k, l1ido = l1*ido; for (k=0; k < l1ido; k += ido) { v4sf a = cc[k], b = cc[k + l1ido]; ch[2*k] = VADD(a, b); ch[2*(k+ido)-1] = VSUB(a, b); } if (ido < 2) return; if (ido != 2) { for (k=0; k < l1ido; k += ido) { for (i=2; i 5) { wa[i1-1] = wa[i-1]; wa[i1] = wa[i]; } } l1 = l2; } } /* cffti1 */ v4sf *cfftf1_ps(int n, const v4sf *input_readonly, v4sf *work1, v4sf *work2, const float *wa, const int *ifac, int isign) { v4sf *in = (v4sf*)input_readonly; v4sf *out = (in == work2 ? work1 : work2); int nf = ifac[1], k1; int l1 = 1; int iw = 0; assert(in != out && work1 != work2); for (k1=2; k1<=nf+1; k1++) { int ip = ifac[k1]; int l2 = ip*l1; int ido = n / l2; int idot = ido + ido; switch (ip) { case 5: { int ix2 = iw + idot; int ix3 = ix2 + idot; int ix4 = ix3 + idot; passf5_ps(idot, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3], &wa[ix4], isign); } break; case 4: { int ix2 = iw + idot; int ix3 = ix2 + idot; passf4_ps(idot, l1, in, out, &wa[iw], &wa[ix2], &wa[ix3], isign); } break; case 2: { passf2_ps(idot, l1, in, out, &wa[iw], isign); } break; case 3: { int ix2 = iw + idot; passf3_ps(idot, l1, in, out, &wa[iw], &wa[ix2], isign); } break; default: assert(0); } l1 = l2; iw += (ip - 1)*idot; if (out == work2) { out = work1; in = work2; } else { out = work2; in = work1; } } return in; /* this is in fact the output .. */ } struct PFFFT_Setup { int N; int Ncvec; // nb of complex simd vectors (N/4 if PFFFT_COMPLEX, N/8 if PFFFT_REAL) int ifac[15]; pffft_transform_t transform; v4sf *data; // allocated room for twiddle coefs float *e; // points into 'data' , N/4*3 elements float *twiddle; // points into 'data', N/4 elements }; PFFFT_Setup *pffft_new_setup(int N, pffft_transform_t transform) { PFFFT_Setup *s = (PFFFT_Setup*)malloc(sizeof(PFFFT_Setup)); int k, m; /* unfortunately, the fft size must be a multiple of 16 for complex FFTs and 32 for real FFTs -- a lot of stuff would need to be rewritten to handle other cases (or maybe just switch to a scalar fft, I don't know..) */ if (transform == PFFFT_REAL) { assert((N%(2*SIMD_SZ*SIMD_SZ))==0 && N>0); } if (transform == PFFFT_COMPLEX) { assert((N%(SIMD_SZ*SIMD_SZ))==0 && N>0); } //assert((N % 32) == 0); s->N = N; s->transform = transform; /* nb of complex simd vectors */ s->Ncvec = (transform == PFFFT_REAL ? N/2 : N)/SIMD_SZ; s->data = (v4sf*)pffft_aligned_malloc(2*s->Ncvec * sizeof(v4sf)); s->e = (float*)s->data; s->twiddle = (float*)(s->data + (2*s->Ncvec*(SIMD_SZ-1))/SIMD_SZ); if (transform == PFFFT_REAL) { for (k=0; k < s->Ncvec; ++k) { int i = k/SIMD_SZ; int j = k%SIMD_SZ; for (m=0; m < SIMD_SZ-1; ++m) { float A = -2*M_PI*(m+1)*k / N; s->e[(2*(i*3 + m) + 0) * SIMD_SZ + j] = cos(A); s->e[(2*(i*3 + m) + 1) * SIMD_SZ + j] = sin(A); } } rffti1_ps(N/SIMD_SZ, s->twiddle, s->ifac); } else { for (k=0; k < s->Ncvec; ++k) { int i = k/SIMD_SZ; int j = k%SIMD_SZ; for (m=0; m < SIMD_SZ-1; ++m) { float A = -2*M_PI*(m+1)*k / N; s->e[(2*(i*3 + m) + 0)*SIMD_SZ + j] = cos(A); s->e[(2*(i*3 + m) + 1)*SIMD_SZ + j] = sin(A); } } cffti1_ps(N/SIMD_SZ, s->twiddle, s->ifac); } /* check that N is decomposable with allowed prime factors */ for (k=0, m=1; k < s->ifac[1]; ++k) { m *= s->ifac[2+k]; } if (m != N/SIMD_SZ) { pffft_destroy_setup(s); s = 0; } return s; } void pffft_destroy_setup(PFFFT_Setup *s) { pffft_aligned_free(s->data); free(s); } #if !defined(PFFFT_SIMD_DISABLE) /* [0 0 1 2 3 4 5 6 7 8] -> [0 8 7 6 5 4 3 2 1] */ static void reversed_copy(int N, const v4sf *in, int in_stride, v4sf *out) { v4sf g0, g1; int k; INTERLEAVE2(in[0], in[1], g0, g1); in += in_stride; *--out = VSWAPHL(g0, g1); // [g0l, g0h], [g1l g1h] -> [g1l, g0h] for (k=1; k < N; ++k) { v4sf h0, h1; INTERLEAVE2(in[0], in[1], h0, h1); in += in_stride; *--out = VSWAPHL(g1, h0); *--out = VSWAPHL(h0, h1); g1 = h1; } *--out = VSWAPHL(g1, g0); } static void unreversed_copy(int N, const v4sf *in, v4sf *out, int out_stride) { v4sf g0, g1, h0, h1; int k; g0 = g1 = in[0]; ++in; for (k=1; k < N; ++k) { h0 = *in++; h1 = *in++; g1 = VSWAPHL(g1, h0); h0 = VSWAPHL(h0, h1); UNINTERLEAVE2(h0, g1, out[0], out[1]); out += out_stride; g1 = h1; } h0 = *in++; h1 = g0; g1 = VSWAPHL(g1, h0); h0 = VSWAPHL(h0, h1); UNINTERLEAVE2(h0, g1, out[0], out[1]); } void pffft_zreorder(PFFFT_Setup *setup, const float *in, float *out, pffft_direction_t direction) { int k, N = setup->N, Ncvec = setup->Ncvec; const v4sf *vin = (const v4sf*)in; v4sf *vout = (v4sf*)out; assert(in != out); if (setup->transform == PFFFT_REAL) { int k, dk = N/32; if (direction == PFFFT_FORWARD) { for (k=0; k < dk; ++k) { INTERLEAVE2(vin[k*8 + 0], vin[k*8 + 1], vout[2*(0*dk + k) + 0], vout[2*(0*dk + k) + 1]); INTERLEAVE2(vin[k*8 + 4], vin[k*8 + 5], vout[2*(2*dk + k) + 0], vout[2*(2*dk + k) + 1]); } reversed_copy(dk, vin+2, 8, (v4sf*)(out + N/2)); reversed_copy(dk, vin+6, 8, (v4sf*)(out + N)); } else { for (k=0; k < dk; ++k) { UNINTERLEAVE2(vin[2*(0*dk + k) + 0], vin[2*(0*dk + k) + 1], vout[k*8 + 0], vout[k*8 + 1]); UNINTERLEAVE2(vin[2*(2*dk + k) + 0], vin[2*(2*dk + k) + 1], vout[k*8 + 4], vout[k*8 + 5]); } unreversed_copy(dk, (v4sf*)(in + N/4), (v4sf*)(out + N - 6*SIMD_SZ), -8); unreversed_copy(dk, (v4sf*)(in + 3*N/4), (v4sf*)(out + N - 2*SIMD_SZ), -8); } } else { if (direction == PFFFT_FORWARD) { for (k=0; k < Ncvec; ++k) { int kk = (k/4) + (k%4)*(Ncvec/4); INTERLEAVE2(vin[k*2], vin[k*2+1], vout[kk*2], vout[kk*2+1]); } } else { for (k=0; k < Ncvec; ++k) { int kk = (k/4) + (k%4)*(Ncvec/4); UNINTERLEAVE2(vin[kk*2], vin[kk*2+1], vout[k*2], vout[k*2+1]); } } } } void pffft_cplx_finalize(int Ncvec, const v4sf *in, v4sf *out, const v4sf *e) { int k, dk = Ncvec/SIMD_SZ; // number of 4x4 matrix blocks v4sf r0, i0, r1, i1, r2, i2, r3, i3; v4sf sr0, dr0, sr1, dr1, si0, di0, si1, di1; assert(in != out); for (k=0; k < dk; ++k) { r0 = in[8*k+0]; i0 = in[8*k+1]; r1 = in[8*k+2]; i1 = in[8*k+3]; r2 = in[8*k+4]; i2 = in[8*k+5]; r3 = in[8*k+6]; i3 = in[8*k+7]; VTRANSPOSE4(r0,r1,r2,r3); VTRANSPOSE4(i0,i1,i2,i3); VCPLXMUL(r1,i1,e[k*6+0],e[k*6+1]); VCPLXMUL(r2,i2,e[k*6+2],e[k*6+3]); VCPLXMUL(r3,i3,e[k*6+4],e[k*6+5]); sr0 = VADD(r0,r2); dr0 = VSUB(r0, r2); sr1 = VADD(r1,r3); dr1 = VSUB(r1, r3); si0 = VADD(i0,i2); di0 = VSUB(i0, i2); si1 = VADD(i1,i3); di1 = VSUB(i1, i3); /* transformation for each column is: [1 1 1 1 0 0 0 0] [r0] [1 0 -1 0 0 -1 0 1] [r1] [1 -1 1 -1 0 0 0 0] [r2] [1 0 -1 0 0 1 0 -1] [r3] [0 0 0 0 1 1 1 1] * [i0] [0 1 0 -1 1 0 -1 0] [i1] [0 0 0 0 1 -1 1 -1] [i2] [0 -1 0 1 1 0 -1 0] [i3] */ r0 = VADD(sr0, sr1); i0 = VADD(si0, si1); r1 = VADD(dr0, di1); i1 = VSUB(di0, dr1); r2 = VSUB(sr0, sr1); i2 = VSUB(si0, si1); r3 = VSUB(dr0, di1); i3 = VADD(di0, dr1); *out++ = r0; *out++ = i0; *out++ = r1; *out++ = i1; *out++ = r2; *out++ = i2; *out++ = r3; *out++ = i3; } } void pffft_cplx_preprocess(int Ncvec, const v4sf *in, v4sf *out, const v4sf *e) { int k, dk = Ncvec/SIMD_SZ; // number of 4x4 matrix blocks v4sf r0, i0, r1, i1, r2, i2, r3, i3; v4sf sr0, dr0, sr1, dr1, si0, di0, si1, di1; assert(in != out); for (k=0; k < dk; ++k) { r0 = in[8*k+0]; i0 = in[8*k+1]; r1 = in[8*k+2]; i1 = in[8*k+3]; r2 = in[8*k+4]; i2 = in[8*k+5]; r3 = in[8*k+6]; i3 = in[8*k+7]; sr0 = VADD(r0,r2); dr0 = VSUB(r0, r2); sr1 = VADD(r1,r3); dr1 = VSUB(r1, r3); si0 = VADD(i0,i2); di0 = VSUB(i0, i2); si1 = VADD(i1,i3); di1 = VSUB(i1, i3); r0 = VADD(sr0, sr1); i0 = VADD(si0, si1); r1 = VSUB(dr0, di1); i1 = VADD(di0, dr1); r2 = VSUB(sr0, sr1); i2 = VSUB(si0, si1); r3 = VADD(dr0, di1); i3 = VSUB(di0, dr1); VCPLXMULCONJ(r1,i1,e[k*6+0],e[k*6+1]); VCPLXMULCONJ(r2,i2,e[k*6+2],e[k*6+3]); VCPLXMULCONJ(r3,i3,e[k*6+4],e[k*6+5]); VTRANSPOSE4(r0,r1,r2,r3); VTRANSPOSE4(i0,i1,i2,i3); *out++ = r0; *out++ = i0; *out++ = r1; *out++ = i1; *out++ = r2; *out++ = i2; *out++ = r3; *out++ = i3; } } static ALWAYS_INLINE(void) pffft_real_finalize_4x4(const v4sf *in0, const v4sf *in1, const v4sf *in, const v4sf *e, v4sf *out) { v4sf r0, i0, r1, i1, r2, i2, r3, i3; v4sf sr0, dr0, sr1, dr1, si0, di0, si1, di1; r0 = *in0; i0 = *in1; r1 = *in++; i1 = *in++; r2 = *in++; i2 = *in++; r3 = *in++; i3 = *in++; VTRANSPOSE4(r0,r1,r2,r3); VTRANSPOSE4(i0,i1,i2,i3); /* transformation for each column is: [1 1 1 1 0 0 0 0] [r0] [1 0 -1 0 0 -1 0 1] [r1] [1 0 -1 0 0 1 0 -1] [r2] [1 -1 1 -1 0 0 0 0] [r3] [0 0 0 0 1 1 1 1] * [i0] [0 -1 0 1 -1 0 1 0] [i1] [0 -1 0 1 1 0 -1 0] [i2] [0 0 0 0 -1 1 -1 1] [i3] */ //cerr << "matrix initial, before e , REAL:\n 1: " << r0 << "\n 1: " << r1 << "\n 1: " << r2 << "\n 1: " << r3 << "\n"; //cerr << "matrix initial, before e, IMAG :\n 1: " << i0 << "\n 1: " << i1 << "\n 1: " << i2 << "\n 1: " << i3 << "\n"; VCPLXMUL(r1,i1,e[0],e[1]); VCPLXMUL(r2,i2,e[2],e[3]); VCPLXMUL(r3,i3,e[4],e[5]); //cerr << "matrix initial, real part:\n 1: " << r0 << "\n 1: " << r1 << "\n 1: " << r2 << "\n 1: " << r3 << "\n"; //cerr << "matrix initial, imag part:\n 1: " << i0 << "\n 1: " << i1 << "\n 1: " << i2 << "\n 1: " << i3 << "\n"; sr0 = VADD(r0,r2); dr0 = VSUB(r0,r2); sr1 = VADD(r1,r3); dr1 = VSUB(r3,r1); si0 = VADD(i0,i2); di0 = VSUB(i0,i2); si1 = VADD(i1,i3); di1 = VSUB(i3,i1); r0 = VADD(sr0, sr1); r3 = VSUB(sr0, sr1); i0 = VADD(si0, si1); i3 = VSUB(si1, si0); r1 = VADD(dr0, di1); r2 = VSUB(dr0, di1); i1 = VSUB(dr1, di0); i2 = VADD(dr1, di0); *out++ = r0; *out++ = i0; *out++ = r1; *out++ = i1; *out++ = r2; *out++ = i2; *out++ = r3; *out++ = i3; } static NEVER_INLINE(void) pffft_real_finalize(int Ncvec, const v4sf *in, v4sf *out, const v4sf *e) { int k, dk = Ncvec/SIMD_SZ; // number of 4x4 matrix blocks /* fftpack order is f0r f1r f1i f2r f2i ... f(n-1)r f(n-1)i f(n)r */ v4sf_union cr, ci, *uout = (v4sf_union*)out; v4sf save = in[7], zero=VZERO(); float xr0, xi0, xr1, xi1, xr2, xi2, xr3, xi3; static const float s = M_SQRT2/2; cr.v = in[0]; ci.v = in[Ncvec*2-1]; assert(in != out); pffft_real_finalize_4x4(&zero, &zero, in+1, e, out); /* [cr0 cr1 cr2 cr3 ci0 ci1 ci2 ci3] [Xr(1)] ] [1 1 1 1 0 0 0 0] [Xr(N/4) ] [0 0 0 0 1 s 0 -s] [Xr(N/2) ] [1 0 -1 0 0 0 0 0] [Xr(3N/4)] [0 0 0 0 1 -s 0 s] [Xi(1) ] [1 -1 1 -1 0 0 0 0] [Xi(N/4) ] [0 0 0 0 0 -s -1 -s] [Xi(N/2) ] [0 -1 0 1 0 0 0 0] [Xi(3N/4)] [0 0 0 0 0 -s 1 -s] */ xr0=(cr.f[0]+cr.f[2]) + (cr.f[1]+cr.f[3]); uout[0].f[0] = xr0; xi0=(cr.f[0]+cr.f[2]) - (cr.f[1]+cr.f[3]); uout[1].f[0] = xi0; xr2=(cr.f[0]-cr.f[2]); uout[4].f[0] = xr2; xi2=(cr.f[3]-cr.f[1]); uout[5].f[0] = xi2; xr1= ci.f[0] + s*(ci.f[1]-ci.f[3]); uout[2].f[0] = xr1; xi1=-ci.f[2] - s*(ci.f[1]+ci.f[3]); uout[3].f[0] = xi1; xr3= ci.f[0] - s*(ci.f[1]-ci.f[3]); uout[6].f[0] = xr3; xi3= ci.f[2] - s*(ci.f[1]+ci.f[3]); uout[7].f[0] = xi3; for (k=1; k < dk; ++k) { v4sf save_next = in[8*k+7]; pffft_real_finalize_4x4(&save, &in[8*k+0], in + 8*k+1, e + k*6, out + k*8); save = save_next; } } static ALWAYS_INLINE(void) pffft_real_preprocess_4x4(const v4sf *in, const v4sf *e, v4sf *out, int first) { v4sf r0=in[0], i0=in[1], r1=in[2], i1=in[3], r2=in[4], i2=in[5], r3=in[6], i3=in[7]; /* transformation for each column is: [1 1 1 1 0 0 0 0] [r0] [1 0 0 -1 0 -1 -1 0] [r1] [1 -1 -1 1 0 0 0 0] [r2] [1 0 0 -1 0 1 1 0] [r3] [0 0 0 0 1 -1 1 -1] * [i0] [0 -1 1 0 1 0 0 1] [i1] [0 0 0 0 1 1 -1 -1] [i2] [0 1 -1 0 1 0 0 1] [i3] */ v4sf sr0 = VADD(r0,r3), dr0 = VSUB(r0,r3); v4sf sr1 = VADD(r1,r2), dr1 = VSUB(r1,r2); v4sf si0 = VADD(i0,i3), di0 = VSUB(i0,i3); v4sf si1 = VADD(i1,i2), di1 = VSUB(i1,i2); r0 = VADD(sr0, sr1); r2 = VSUB(sr0, sr1); r1 = VSUB(dr0, si1); r3 = VADD(dr0, si1); i0 = VSUB(di0, di1); i2 = VADD(di0, di1); i1 = VSUB(si0, dr1); i3 = VADD(si0, dr1); VCPLXMULCONJ(r1,i1,e[0],e[1]); VCPLXMULCONJ(r2,i2,e[2],e[3]); VCPLXMULCONJ(r3,i3,e[4],e[5]); VTRANSPOSE4(r0,r1,r2,r3); VTRANSPOSE4(i0,i1,i2,i3); if (!first) { *out++ = r0; *out++ = i0; } *out++ = r1; *out++ = i1; *out++ = r2; *out++ = i2; *out++ = r3; *out++ = i3; } static NEVER_INLINE(void) pffft_real_preprocess(int Ncvec, const v4sf *in, v4sf *out, const v4sf *e) { int k, dk = Ncvec/SIMD_SZ; // number of 4x4 matrix blocks /* fftpack order is f0r f1r f1i f2r f2i ... f(n-1)r f(n-1)i f(n)r */ v4sf_union Xr, Xi, *uout = (v4sf_union*)out; float cr0, ci0, cr1, ci1, cr2, ci2, cr3, ci3; static const float s = M_SQRT2; assert(in != out); for (k=0; k < 4; ++k) { Xr.f[k] = ((float*)in)[8*k]; Xi.f[k] = ((float*)in)[8*k+4]; } pffft_real_preprocess_4x4(in, e, out+1, 1); // will write only 6 values /* [Xr0 Xr1 Xr2 Xr3 Xi0 Xi1 Xi2 Xi3] [cr0] [1 0 2 0 1 0 0 0] [cr1] [1 0 0 0 -1 0 -2 0] [cr2] [1 0 -2 0 1 0 0 0] [cr3] [1 0 0 0 -1 0 2 0] [ci0] [0 2 0 2 0 0 0 0] [ci1] [0 s 0 -s 0 -s 0 -s] [ci2] [0 0 0 0 0 -2 0 2] [ci3] [0 -s 0 s 0 -s 0 -s] */ for (k=1; k < dk; ++k) { pffft_real_preprocess_4x4(in+8*k, e + k*6, out-1+k*8, 0); } cr0=(Xr.f[0]+Xi.f[0]) + 2*Xr.f[2]; uout[0].f[0] = cr0; cr1=(Xr.f[0]-Xi.f[0]) - 2*Xi.f[2]; uout[0].f[1] = cr1; cr2=(Xr.f[0]+Xi.f[0]) - 2*Xr.f[2]; uout[0].f[2] = cr2; cr3=(Xr.f[0]-Xi.f[0]) + 2*Xi.f[2]; uout[0].f[3] = cr3; ci0= 2*(Xr.f[1]+Xr.f[3]); uout[2*Ncvec-1].f[0] = ci0; ci1= s*(Xr.f[1]-Xr.f[3]) - s*(Xi.f[1]+Xi.f[3]); uout[2*Ncvec-1].f[1] = ci1; ci2= 2*(Xi.f[3]-Xi.f[1]); uout[2*Ncvec-1].f[2] = ci2; ci3=-s*(Xr.f[1]-Xr.f[3]) - s*(Xi.f[1]+Xi.f[3]); uout[2*Ncvec-1].f[3] = ci3; } void pffft_transform_internal(PFFFT_Setup *setup, const float *finput, float *foutput, v4sf *scratch, pffft_direction_t direction, int ordered) { int k, Ncvec = setup->Ncvec; int nf_odd = (setup->ifac[1] & 1); // temporary buffer is allocated on the stack if the scratch pointer is NULL int stack_allocate = (scratch == 0 ? Ncvec*2 : 1); VLA_ARRAY_ON_STACK(v4sf, scratch_on_stack, stack_allocate); const v4sf *vinput = (const v4sf*)finput; v4sf *voutput = (v4sf*)foutput; v4sf *buff[2] = { voutput, scratch ? scratch : scratch_on_stack }; int ib = (nf_odd ^ ordered ? 1 : 0); assert(VALIGNED(finput) && VALIGNED(foutput)); //assert(finput != foutput); if (direction == PFFFT_FORWARD) { ib = !ib; if (setup->transform == PFFFT_REAL) { ib = (rfftf1_ps(Ncvec*2, vinput, buff[ib], buff[!ib], setup->twiddle, &setup->ifac[0]) == buff[0] ? 0 : 1); pffft_real_finalize(Ncvec, buff[ib], buff[!ib], (v4sf*)setup->e); } else { v4sf *tmp = buff[ib]; for (k=0; k < Ncvec; ++k) { UNINTERLEAVE2(vinput[k*2], vinput[k*2+1], tmp[k*2], tmp[k*2+1]); } ib = (cfftf1_ps(Ncvec, buff[ib], buff[!ib], buff[ib], setup->twiddle, &setup->ifac[0], -1) == buff[0] ? 0 : 1); pffft_cplx_finalize(Ncvec, buff[ib], buff[!ib], (v4sf*)setup->e); } if (ordered) { pffft_zreorder(setup, (float*)buff[!ib], (float*)buff[ib], PFFFT_FORWARD); } else ib = !ib; } else { if (vinput == buff[ib]) { ib = !ib; // may happen when finput == foutput } if (ordered) { pffft_zreorder(setup, (float*)vinput, (float*)buff[ib], PFFFT_BACKWARD); vinput = buff[ib]; ib = !ib; } if (setup->transform == PFFFT_REAL) { pffft_real_preprocess(Ncvec, vinput, buff[ib], (v4sf*)setup->e); ib = (rfftb1_ps(Ncvec*2, buff[ib], buff[0], buff[1], setup->twiddle, &setup->ifac[0]) == buff[0] ? 0 : 1); } else { pffft_cplx_preprocess(Ncvec, vinput, buff[ib], (v4sf*)setup->e); ib = (cfftf1_ps(Ncvec, buff[ib], buff[0], buff[1], setup->twiddle, &setup->ifac[0], +1) == buff[0] ? 0 : 1); for (k=0; k < Ncvec; ++k) { INTERLEAVE2(buff[ib][k*2], buff[ib][k*2+1], buff[ib][k*2], buff[ib][k*2+1]); } } } if (buff[ib] != voutput) { /* extra copy required -- this situation should only happen when finput == foutput */ assert(finput==foutput); for (k=0; k < Ncvec; ++k) { v4sf a = buff[ib][2*k], b = buff[ib][2*k+1]; voutput[2*k] = a; voutput[2*k+1] = b; } ib = !ib; } assert(buff[ib] == voutput); } void pffft_zconvolve_accumulate(PFFFT_Setup *s, const float *a, const float *b, float *ab, float scaling) { int Ncvec = s->Ncvec; const v4sf * RESTRICT va = (const v4sf*)a; const v4sf * RESTRICT vb = (const v4sf*)b; v4sf * RESTRICT vab = (v4sf*)ab; #ifdef __arm__ __builtin_prefetch(va); __builtin_prefetch(vb); __builtin_prefetch(vab); __builtin_prefetch(va+2); __builtin_prefetch(vb+2); __builtin_prefetch(vab+2); __builtin_prefetch(va+4); __builtin_prefetch(vb+4); __builtin_prefetch(vab+4); __builtin_prefetch(va+6); __builtin_prefetch(vb+6); __builtin_prefetch(vab+6); # ifndef __clang__ # define ZCONVOLVE_USING_INLINE_NEON_ASM # endif #endif float ar, ai, br, bi, abr, abi; #ifndef ZCONVOLVE_USING_INLINE_ASM v4sf vscal = LD_PS1(scaling); int i; #endif assert(VALIGNED(a) && VALIGNED(b) && VALIGNED(ab)); ar = ((v4sf_union*)va)[0].f[0]; ai = ((v4sf_union*)va)[1].f[0]; br = ((v4sf_union*)vb)[0].f[0]; bi = ((v4sf_union*)vb)[1].f[0]; abr = ((v4sf_union*)vab)[0].f[0]; abi = ((v4sf_union*)vab)[1].f[0]; #ifdef ZCONVOLVE_USING_INLINE_ASM // inline asm version, unfortunately miscompiled by clang 3.2, at least on ubuntu.. so this will be restricted to gcc const float *a_ = a, *b_ = b; float *ab_ = ab; int N = Ncvec; asm volatile("mov r8, %2 \n" "vdup.f32 q15, %4 \n" "1: \n" "pld [%0,#64] \n" "pld [%1,#64] \n" "pld [%2,#64] \n" "pld [%0,#96] \n" "pld [%1,#96] \n" "pld [%2,#96] \n" "vld1.f32 {q0,q1}, [%0,:128]! \n" "vld1.f32 {q4,q5}, [%1,:128]! \n" "vld1.f32 {q2,q3}, [%0,:128]! \n" "vld1.f32 {q6,q7}, [%1,:128]! \n" "vld1.f32 {q8,q9}, [r8,:128]! \n" "vmul.f32 q10, q0, q4 \n" "vmul.f32 q11, q0, q5 \n" "vmul.f32 q12, q2, q6 \n" "vmul.f32 q13, q2, q7 \n" "vmls.f32 q10, q1, q5 \n" "vmla.f32 q11, q1, q4 \n" "vld1.f32 {q0,q1}, [r8,:128]! \n" "vmls.f32 q12, q3, q7 \n" "vmla.f32 q13, q3, q6 \n" "vmla.f32 q8, q10, q15 \n" "vmla.f32 q9, q11, q15 \n" "vmla.f32 q0, q12, q15 \n" "vmla.f32 q1, q13, q15 \n" "vst1.f32 {q8,q9},[%2,:128]! \n" "vst1.f32 {q0,q1},[%2,:128]! \n" "subs %3, #2 \n" "bne 1b \n" : "+r"(a_), "+r"(b_), "+r"(ab_), "+r"(N) : "r"(scaling) : "r8", "q0","q1","q2","q3","q4","q5","q6","q7","q8","q9", "q10","q11","q12","q13","q15","memory"); #else // default routine, works fine for non-arm cpus with current compilers for (i=0; i < Ncvec; i += 2) { v4sf ar, ai, br, bi; ar = va[2*i+0]; ai = va[2*i+1]; br = vb[2*i+0]; bi = vb[2*i+1]; VCPLXMUL(ar, ai, br, bi); vab[2*i+0] = VMADD(ar, vscal, vab[2*i+0]); vab[2*i+1] = VMADD(ai, vscal, vab[2*i+1]); ar = va[2*i+2]; ai = va[2*i+3]; br = vb[2*i+2]; bi = vb[2*i+3]; VCPLXMUL(ar, ai, br, bi); vab[2*i+2] = VMADD(ar, vscal, vab[2*i+2]); vab[2*i+3] = VMADD(ai, vscal, vab[2*i+3]); } #endif if (s->transform == PFFFT_REAL) { ((v4sf_union*)vab)[0].f[0] = abr + ar*br*scaling; ((v4sf_union*)vab)[1].f[0] = abi + ai*bi*scaling; } } #else // defined(PFFFT_SIMD_DISABLE) // standard routine using scalar floats, without SIMD stuff. #define pffft_zreorder_nosimd pffft_zreorder void pffft_zreorder_nosimd(PFFFT_Setup *setup, const float *in, float *out, pffft_direction_t direction) { int k, N = setup->N; if (setup->transform == PFFFT_COMPLEX) { for (k=0; k < 2*N; ++k) out[k] = in[k]; return; } else if (direction == PFFFT_FORWARD) { float x_N = in[N-1]; for (k=N-1; k > 1; --k) out[k] = in[k-1]; out[0] = in[0]; out[1] = x_N; } else { float x_N = in[1]; for (k=1; k < N-1; ++k) out[k] = in[k+1]; out[0] = in[0]; out[N-1] = x_N; } } #define pffft_transform_internal_nosimd pffft_transform_internal void pffft_transform_internal_nosimd(PFFFT_Setup *setup, const float *input, float *output, float *scratch, pffft_direction_t direction, int ordered) { int Ncvec = setup->Ncvec; int nf_odd = (setup->ifac[1] & 1); // temporary buffer is allocated on the stack if the scratch pointer is NULL int stack_allocate = (scratch == 0 ? Ncvec*2 : 1); VLA_ARRAY_ON_STACK(v4sf, scratch_on_stack, stack_allocate); float *buff[2]; int ib; if (scratch == 0) scratch = scratch_on_stack; buff[0] = output; buff[1] = scratch; if (setup->transform == PFFFT_COMPLEX) ordered = 0; // it is always ordered. ib = (nf_odd ^ ordered ? 1 : 0); if (direction == PFFFT_FORWARD) { if (setup->transform == PFFFT_REAL) { ib = (rfftf1_ps(Ncvec*2, input, buff[ib], buff[!ib], setup->twiddle, &setup->ifac[0]) == buff[0] ? 0 : 1); } else { ib = (cfftf1_ps(Ncvec, input, buff[ib], buff[!ib], setup->twiddle, &setup->ifac[0], -1) == buff[0] ? 0 : 1); } if (ordered) { pffft_zreorder(setup, buff[ib], buff[!ib], PFFFT_FORWARD); ib = !ib; } } else { if (input == buff[ib]) { ib = !ib; // may happen when finput == foutput } if (ordered) { pffft_zreorder(setup, input, buff[!ib], PFFFT_BACKWARD); input = buff[!ib]; } if (setup->transform == PFFFT_REAL) { ib = (rfftb1_ps(Ncvec*2, input, buff[ib], buff[!ib], setup->twiddle, &setup->ifac[0]) == buff[0] ? 0 : 1); } else { ib = (cfftf1_ps(Ncvec, input, buff[ib], buff[!ib], setup->twiddle, &setup->ifac[0], +1) == buff[0] ? 0 : 1); } } if (buff[ib] != output) { int k; // extra copy required -- this situation should happens only when finput == foutput assert(input==output); for (k=0; k < Ncvec; ++k) { float a = buff[ib][2*k], b = buff[ib][2*k+1]; output[2*k] = a; output[2*k+1] = b; } ib = !ib; } assert(buff[ib] == output); } #define pffft_zconvolve_accumulate_nosimd pffft_zconvolve_accumulate void pffft_zconvolve_accumulate_nosimd(PFFFT_Setup *s, const float *a, const float *b, float *ab, float scaling) { int i, Ncvec = s->Ncvec; if (s->transform == PFFFT_REAL) { // take care of the fftpack ordering ab[0] += a[0]*b[0]*scaling; ab[2*Ncvec-1] += a[2*Ncvec-1]*b[2*Ncvec-1]*scaling; ++ab; ++a; ++b; --Ncvec; } for (i=0; i < Ncvec; ++i) { float ar, ai, br, bi; ar = a[2*i+0]; ai = a[2*i+1]; br = b[2*i+0]; bi = b[2*i+1]; VCPLXMUL(ar, ai, br, bi); ab[2*i+0] += ar*scaling; ab[2*i+1] += ai*scaling; } } #endif // defined(PFFFT_SIMD_DISABLE) void pffft_transform(PFFFT_Setup *setup, const float *input, float *output, float *work, pffft_direction_t direction) { pffft_transform_internal(setup, input, output, (v4sf*)work, direction, 0); } void pffft_transform_ordered(PFFFT_Setup *setup, const float *input, float *output, float *work, pffft_direction_t direction) { pffft_transform_internal(setup, input, output, (v4sf*)work, direction, 1); } ===== pffft/pffft.h ===== /* Copyright (c) 2013 Julien Pommier ( pommier@modartt.com ) Based on original fortran 77 code from FFTPACKv4 from NETLIB, authored by Dr Paul Swarztrauber of NCAR, in 1985. As confirmed by the NCAR fftpack software curators, the following FFTPACKv5 license applies to FFTPACKv4 sources. My changes are released under the same terms. FFTPACK license: http://www.cisl.ucar.edu/css/software/fftpack5/ftpk.html Copyright (c) 2004 the University Corporation for Atmospheric Research ("UCAR"). All rights reserved. Developed by NCAR's Computational and Information Systems Laboratory, UCAR, www.cisl.ucar.edu. Redistribution and use of the Software in source and binary forms, with or without modification, is permitted provided that the following conditions are met: - Neither the names of NCAR's Computational and Information Systems Laboratory, the University Corporation for Atmospheric Research, nor the names of its sponsors or contributors may be used to endorse or promote products derived from this Software without specific prior written permission. - Redistributions of source code must retain the above copyright notices, this list of conditions, and the disclaimer below. - Redistributions in binary form must reproduce the above copyright notice, this list of conditions, and the disclaimer below in the documentation and/or other materials provided with the distribution. THIS 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 CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 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 WITH THE SOFTWARE. */ /* PFFFT : a Pretty Fast FFT. This is basically an adaptation of the single precision fftpack (v4) as found on netlib taking advantage of SIMD instruction found on cpus such as intel x86 (SSE1), powerpc (Altivec), and arm (NEON). For architectures where no SIMD instruction is available, the code falls back to a scalar version. Restrictions: - 1D transforms only, with 32-bit single precision. - supports only transforms for inputs of length N of the form N=(2^a)*(3^b)*(5^c), a >= 5, b >=0, c >= 0 (32, 48, 64, 96, 128, 144, 160, etc are all acceptable lengths). Performance is best for 128<=N<=8192. - all (float*) pointers in the functions below are expected to have an "simd-compatible" alignment, that is 16 bytes on x86 and powerpc CPUs. You can allocate such buffers with the functions pffft_aligned_malloc / pffft_aligned_free (or with stuff like posix_memalign..) */ #ifndef PFFFT_H #define PFFFT_H #include // for size_t #ifdef __cplusplus extern "C" { #endif /* opaque struct holding internal stuff (precomputed twiddle factors) this struct can be shared by many threads as it contains only read-only data. */ typedef struct PFFFT_Setup PFFFT_Setup; /* direction of the transform */ typedef enum { PFFFT_FORWARD, PFFFT_BACKWARD } pffft_direction_t; /* type of transform */ typedef enum { PFFFT_REAL, PFFFT_COMPLEX } pffft_transform_t; /* prepare for performing transforms of size N -- the returned PFFFT_Setup structure is read-only so it can safely be shared by multiple concurrent threads. */ PFFFT_Setup *pffft_new_setup(int N, pffft_transform_t transform); void pffft_destroy_setup(PFFFT_Setup *); /* Perform a Fourier transform , The z-domain data is stored in the most efficient order for transforming it back, or using it for convolution. If you need to have its content sorted in the "usual" way, that is as an array of interleaved complex numbers, either use pffft_transform_ordered , or call pffft_zreorder after the forward fft, and before the backward fft. Transforms are not scaled: PFFFT_BACKWARD(PFFFT_FORWARD(x)) = N*x. Typically you will want to scale the backward transform by 1/N. The 'work' pointer should point to an area of N (2*N for complex fft) floats, properly aligned. If 'work' is NULL, then stack will be used instead (this is probably the best strategy for small FFTs, say for N < 16384). input and output may alias. */ void pffft_transform(PFFFT_Setup *setup, const float *input, float *output, float *work, pffft_direction_t direction); /* Similar to pffft_transform, but makes sure that the output is ordered as expected (interleaved complex numbers). This is similar to calling pffft_transform and then pffft_zreorder. input and output may alias. */ void pffft_transform_ordered(PFFFT_Setup *setup, const float *input, float *output, float *work, pffft_direction_t direction); /* call pffft_zreorder(.., PFFFT_FORWARD) after pffft_transform(..., PFFFT_FORWARD) if you want to have the frequency components in the correct "canonical" order, as interleaved complex numbers. (for real transforms, both 0-frequency and half frequency components, which are real, are assembled in the first entry as F(0)+i*F(n/2+1). Note that the original fftpack did place F(n/2+1) at the end of the arrays). input and output should not alias. */ void pffft_zreorder(PFFFT_Setup *setup, const float *input, float *output, pffft_direction_t direction); /* Perform a multiplication of the frequency components of dft_a and dft_b and accumulate them into dft_ab. The arrays should have been obtained with pffft_transform(.., PFFFT_FORWARD) and should *not* have been reordered with pffft_zreorder (otherwise just perform the operation yourself as the dft coefs are stored as interleaved complex numbers). the operation performed is: dft_ab += (dft_a * fdt_b)*scaling The dft_a, dft_b and dft_ab pointers may alias. */ void pffft_zconvolve_accumulate(PFFFT_Setup *setup, const float *dft_a, const float *dft_b, float *dft_ab, float scaling); /* the float buffers must have the correct alignment (16-byte boundary on intel and powerpc). This function may be used to obtain such correctly aligned buffers. */ void *pffft_aligned_malloc(size_t nb_bytes); void pffft_aligned_free(void *); /* return 4 or 1 wether support SSE/Altivec instructions was enable when building pffft.c */ int pffft_simd_size(void); #ifdef __cplusplus } #endif #endif // PFFFT_H ===== pthreadpool/LICENSE ===== Copyright 2019 Google LLC Copyright (c) 2017 Facebook Inc. 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See the License for the specific language governing permissions and limitations under the License. ===== stblib/LICENSE ===== This software is available under 2 licenses -- choose whichever you prefer. ------------------------------------------------------------------------------ ALTERNATIVE A - MIT License Copyright (c) 2017 Sean Barrett 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. ------------------------------------------------------------------------------ ALTERNATIVE B - Public Domain (www.unlicense.org) This is free and unencumbered software released into the public domain. Anyone is free to copy, modify, publish, use, compile, sell, or distribute this software, either in source code form or as a compiled binary, for any purpose, commercial or non-commercial, and by any means. In jurisdictions that recognize copyright laws, the author or authors of this software dedicate any and all copyright interest in the software to the public domain. We make this dedication for the benefit of the public at large and to the detriment of our heirs and successors. We intend this dedication to be an overt act of relinquishment in perpetuity of all present and future rights to this software under copyright law. 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 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. ===== stblib/data/herringbone/license.txt ===== All files in this directory are in the public domain. Where a public domain declaration is not recognized, you are granted a license to freely use, modify, and redistribute them in any way you choose. ===== zlib/LICENSE ===== Copyright notice: (C) 1995-2022 Jean-loup Gailly and Mark Adler This software is provided 'as-is', without any express or implied warranty. In no event will the authors be held liable for any damages arising from the use of this software. Permission is granted to anyone to use this software for any purpose, including commercial applications, and to alter it and redistribute it freely, subject to the following restrictions: 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required. 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software. 3. This notice may not be removed or altered from any source distribution. Jean-loup Gailly Mark Adler jloup@gzip.org madler@alumni.caltech.edu