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CERN Open Hardware Licence Version 2 - Weakly Reciprocal
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Preamble
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CERN has developed this licence to promote collaboration among
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hardware designers and to provide a legal tool which supports the
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freedom to use, study, modify, share and distribute hardware designs
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and products based on those designs. Version 2 of the CERN Open
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Hardware Licence comes in three variants: CERN-OHL-P (permissive); and
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two reciprocal licences: this licence, CERN-OHL-W (weakly reciprocal)
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and CERN-OHL-S (strongly reciprocal).
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The CERN-OHL-W is copyright CERN 2020. Anyone is welcome to use it, in
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unmodified form only.
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Use of this Licence does not imply any endorsement by CERN of any
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Licensor or their designs nor does it imply any involvement by CERN in
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their development.
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1 Definitions
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1.1 'Licence' means this CERN-OHL-W.
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1.2 'Compatible Licence' means
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a) any earlier version of the CERN Open Hardware licence, or
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b) any version of the CERN-OHL-S or the CERN-OHL-W, or
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c) any licence which permits You to treat the Source to which
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it applies as licensed under CERN-OHL-S or CERN-OHL-W
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provided that on Conveyance of any such Source, or any
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associated Product You treat the Source in question as being
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licensed under CERN-OHL-S or CERN-OHL-W as appropriate.
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1.3 'Source' means information such as design materials or digital
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code which can be applied to Make or test a Product or to
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prepare a Product for use, Conveyance or sale, regardless of its
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medium or how it is expressed. It may include Notices.
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1.4 'Covered Source' means Source that is explicitly made available
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under this Licence.
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1.5 'Product' means any device, component, work or physical object,
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whether in finished or intermediate form, arising from the use,
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application or processing of Covered Source.
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1.6 'Make' means to create or configure something, whether by
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manufacture, assembly, compiling, loading or applying Covered
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Source or another Product or otherwise.
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1.7 'Available Component' means any part, sub-assembly, library or
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code which:
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a) is licensed to You as Complete Source under a Compatible
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Licence; or
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b) is available, at the time a Product or the Source containing
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it is first Conveyed, to You and any other prospective
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licensees
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i) with sufficient rights and information (including any
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configuration and programming files and information
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about its characteristics and interfaces) to enable it
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either to be Made itself, or to be sourced and used to
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Make the Product; or
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ii) as part of the normal distribution of a tool used to
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design or Make the Product.
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1.8 'External Material' means anything (including Source) which:
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a) is only combined with Covered Source in such a way that it
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interfaces with the Covered Source using a documented
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interface which is described in the Covered Source; and
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b) is not a derivative of or contains Covered Source, or, if it
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is, it is solely to the extent necessary to facilitate such
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interfacing.
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1.9 'Complete Source' means the set of all Source necessary to Make
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a Product, in the preferred form for making modifications,
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including necessary installation and interfacing information
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both for the Product, and for any included Available Components.
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If the format is proprietary, it must also be made available in
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a format (if the proprietary tool can create it) which is
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viewable with a tool available to potential licensees and
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licensed under a licence approved by the Free Software
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Foundation or the Open Source Initiative. Complete Source need
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not include the Source of any Available Component, provided that
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You include in the Complete Source sufficient information to
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enable a recipient to Make or source and use the Available
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Component to Make the Product.
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1.10 'Source Location' means a location where a Licensor has placed
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Covered Source, and which that Licensor reasonably believes will
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remain easily accessible for at least three years for anyone to
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obtain a digital copy.
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1.11 'Notice' means copyright, acknowledgement and trademark notices,
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Source Location references, modification notices (subsection
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3.3(b)) and all notices that refer to this Licence and to the
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disclaimer of warranties that are included in the Covered
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Source.
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1.12 'Licensee' or 'You' means any person exercising rights under
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this Licence.
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1.13 'Licensor' means a natural or legal person who creates or
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modifies Covered Source. A person may be a Licensee and a
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Licensor at the same time.
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1.14 'Convey' means to communicate to the public or distribute.
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2 Applicability
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2.1 This Licence governs the use, copying, modification, Conveying
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of Covered Source and Products, and the Making of Products. By
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exercising any right granted under this Licence, You irrevocably
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accept these terms and conditions.
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2.2 This Licence is granted by the Licensor directly to You, and
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shall apply worldwide and without limitation in time.
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2.3 You shall not attempt to restrict by contract or otherwise the
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rights granted under this Licence to other Licensees.
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2.4 This Licence is not intended to restrict fair use, fair dealing,
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or any other similar right.
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3 Copying, Modifying and Conveying Covered Source
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3.1 You may copy and Convey verbatim copies of Covered Source, in
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any medium, provided You retain all Notices.
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3.2 You may modify Covered Source, other than Notices, provided that
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You irrevocably undertake to make that modified Covered Source
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available from a Source Location should You Convey a Product in
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circumstances where the recipient does not otherwise receive a
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copy of the modified Covered Source. In each case subsection 3.3
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shall apply.
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You may only delete Notices if they are no longer applicable to
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the corresponding Covered Source as modified by You and You may
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add additional Notices applicable to Your modifications.
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3.3 You may Convey modified Covered Source (with the effect that You
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shall also become a Licensor) provided that You:
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a) retain Notices as required in subsection 3.2;
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b) add a Notice to the modified Covered Source stating that You
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have modified it, with the date and brief description of how
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You have modified it;
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c) add a Source Location Notice for the modified Covered Source
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if You Convey in circumstances where the recipient does not
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otherwise receive a copy of the modified Covered Source; and
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d) license the modified Covered Source under the terms and
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conditions of this Licence (or, as set out in subsection
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8.3, a later version, if permitted by the licence of the
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original Covered Source). Such modified Covered Source must
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be licensed as a whole, but excluding Available Components
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contained in it or External Material to which it is
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interfaced, which remain licensed under their own applicable
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licences.
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4 Making and Conveying Products
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4.1 You may Make Products, and/or Convey them, provided that You
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either provide each recipient with a copy of the Complete Source
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or ensure that each recipient is notified of the Source Location
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of the Complete Source. That Complete Source includes Covered
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Source and You must accordingly satisfy Your obligations set out
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in subsection 3.3. If specified in a Notice, the Product must
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visibly and securely display the Source Location on it or its
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packaging or documentation in the manner specified in that
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Notice.
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4.2 Where You Convey a Product which incorporates External Material,
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the Complete Source for that Product which You are required to
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provide under subsection 4.1 need not include any Source for the
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External Material.
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4.3 You may license Products under terms of Your choice, provided
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that such terms do not restrict or attempt to restrict any
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recipients' rights under this Licence to the Covered Source.
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5 Research and Development
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You may Convey Covered Source, modified Covered Source or Products to
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a legal entity carrying out development, testing or quality assurance
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work on Your behalf provided that the work is performed on terms which
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prevent the entity from both using the Source or Products for its own
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internal purposes and Conveying the Source or Products or any
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modifications to them to any person other than You. Any modifications
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made by the entity shall be deemed to be made by You pursuant to
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subsection 3.2.
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6 DISCLAIMER AND LIABILITY
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6.1 DISCLAIMER OF WARRANTY -- The Covered Source and any Products
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are provided 'as is' and any express or implied warranties,
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including, but not limited to, implied warranties of
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merchantability, of satisfactory quality, non-infringement of
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third party rights, and fitness for a particular purpose or use
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are disclaimed in respect of any Source or Product to the
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maximum extent permitted by law. The Licensor makes no
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representation that any Source or Product does not or will not
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infringe any patent, copyright, trade secret or other
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proprietary right. The entire risk as to the use, quality, and
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performance of any Source or Product shall be with You and not
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the Licensor. This disclaimer of warranty is an essential part
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of this Licence and a condition for the grant of any rights
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granted under this Licence.
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6.2 EXCLUSION AND LIMITATION OF LIABILITY -- The Licensor shall, to
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the maximum extent permitted by law, have no liability for
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direct, indirect, special, incidental, consequential, exemplary,
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punitive or other damages of any character including, without
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limitation, procurement of substitute goods or services, loss of
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use, data or profits, or business interruption, however caused
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and on any theory of contract, warranty, tort (including
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negligence), product liability or otherwise, arising in any way
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in relation to the Covered Source, modified Covered Source
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and/or the Making or Conveyance of a Product, even if advised of
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the possibility of such damages, and You shall hold the
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Licensor(s) free and harmless from any liability, costs,
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damages, fees and expenses, including claims by third parties,
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in relation to such use.
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7 Patents
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7.1 Subject to the terms and conditions of this Licence, each
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Licensor hereby grants to You a perpetual, worldwide,
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non-exclusive, no-charge, royalty-free, irrevocable (except as
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stated in subsections 7.2 and 8.4) patent licence to Make, have
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Made, use, offer to sell, sell, import, and otherwise transfer
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the Covered Source and Products, where such licence applies only
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to those patent claims licensable by such Licensor that are
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necessarily infringed by exercising rights under the Covered
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Source as Conveyed by that Licensor.
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7.2 If You institute patent litigation against any entity (including
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a cross-claim or counterclaim in a lawsuit) alleging that the
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Covered Source or a Product constitutes direct or contributory
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patent infringement, or You seek any declaration that a patent
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licensed to You under this Licence is invalid or unenforceable
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then any rights granted to You under this Licence shall
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terminate as of the date such process is initiated.
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8 General
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8.1 If any provisions of this Licence are or subsequently become
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invalid or unenforceable for any reason, the remaining
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provisions shall remain effective.
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8.2 You shall not use any of the name (including acronyms and
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abbreviations), image, or logo by which the Licensor or CERN is
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known, except where needed to comply with section 3, or where
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the use is otherwise allowed by law. Any such permitted use
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shall be factual and shall not be made so as to suggest any kind
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of endorsement or implication of involvement by the Licensor or
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its personnel.
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8.3 CERN may publish updated versions and variants of this Licence
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which it considers to be in the spirit of this version, but may
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differ in detail to address new problems or concerns. New
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versions will be published with a unique version number and a
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variant identifier specifying the variant. If the Licensor has
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specified that a given variant applies to the Covered Source
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without specifying a version, You may treat that Covered Source
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as being released under any version of the CERN-OHL with that
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variant. If no variant is specified, the Covered Source shall be
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treated as being released under CERN-OHL-S. The Licensor may
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also specify that the Covered Source is subject to a specific
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version of the CERN-OHL or any later version in which case You
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may apply this or any later version of CERN-OHL with the same
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variant identifier published by CERN.
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You may treat Covered Source licensed under CERN-OHL-W as
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licensed under CERN-OHL-S if and only if all Available
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Components referenced in the Covered Source comply with the
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corresponding definition of Available Component for CERN-OHL-S.
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8.4 This Licence shall terminate with immediate effect if You fail
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to comply with any of its terms and conditions.
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8.5 However, if You cease all breaches of this Licence, then Your
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Licence from any Licensor is reinstated unless such Licensor has
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terminated this Licence by giving You, while You remain in
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breach, a notice specifying the breach and requiring You to cure
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it within 30 days, and You have failed to come into compliance
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in all material respects by the end of the 30 day period. Should
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You repeat the breach after receipt of a cure notice and
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subsequent reinstatement, this Licence will terminate
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immediately and permanently. Section 6 shall continue to apply
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after any termination.
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8.6 This Licence shall not be enforceable except by a Licensor
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acting as such, and third party beneficiary rights are
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specifically excluded.
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# Booth Multiplier
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Sequentially multiply two signed twos-compliment integers in
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Verilog using the [Booth Algorithm][1].
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[1]: https://en.wikipedia.org/wiki/Booth%27s_multiplication_algorithm
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## License
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All source code is licensed under the CERN-OHL-W v2 or later.
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## Usage
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Set parameters `A1_LEN` and `A2_LEN` to the argument size of the
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first and second integer. Set `A2LEN_SIZ` equal to
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`floor(log2(A2_LEN) + 1)`.
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After inputting each integer, pulse `arm` and wait until `fin` goes
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high to retreive the output in `outn`.
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## Simulating
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Simulation is done with Verilator. Run `make`.
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boothmul.v
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boothmul.v
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/* Booth Multiplication
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/* Booth Multiplication v0.1
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* Written by Peter McGoron, 2022.
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*
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* This source describes Open Hardware and is licensed under the
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* CERN-OHL-W v2.
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* You may redistribute and modify this documentation and make products using
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* it under the terms of the CERN-OHL-W v2 (https:/cern.ch/cern-ohl), or, at
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* your option, any later version.
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*
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* This documentation is distributed WITHOUT ANY EXPRESS OR IMPLIED WARRANTY,
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* INCLUDING OF MERCHANTABILITY, SATISFACTORY QUALITY AND FITNESS FOR
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* A PARTICULAR PURPOSE. Please see the CERN-OHL-W v2 for applicable
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* conditions.
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*
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* Source location: https://software.mcgoron.com/peter/boothmul
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*/
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module boothmul
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