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and contributors"},"license":"MIT","homepage":"https://fluidframework.com","repository":{"url":"git+https://github.com/microsoft/FluidFramework.git","type":"git","directory":"packages/dds/matrix"},"description":"Distributed matrix","maintainers":[{"name":"ms-fluid-bot","email":"ffsa@microsoft.com"},{"name":"microsoft-oss-releases","email":"microsoft-oss-publishing@microsoft.com"},{"name":"microsoft1es","email":"npmjs@microsoft.com"}],"readme":"# @fluidframework/matrix\n\nSharedMatrix is a rectangular 2D array of values. Matrix values are a superset of JSON serializable types that includes embedded IFluidHandle references to Fluid object.\n\n<!-- markdown-magic:begin {\"transform\":\"library-readme-header\",\"headingLevel\":2} -->\n<!-- prettier-ignore-start -->\n<!-- NOTE: This section is automatically generated using @fluid-tools/markdown-magic. Do not update these generated contents directly. -->\n\n## Using Fluid Framework libraries\n\nFor a dependency on a Fluid Framework library's public APIs, we recommend a `^` (caret) version range.\nFor example, use `^1.3.4`.\n\nFor a dependency on an unstable API, such as a `beta` API, we recommend a more restrictive version range.\nFor example, use a `~` version range.\n\n## Installation\n\nRun this command to install the package:\n\n```bash\nnpm i @fluidframework/matrix\n```\n\n## Importing from this package\n\nThis package uses [package.json exports](https://nodejs.org/api/packages.html#exports) to separate APIs by support level.\nFor information about the support guarantees, read [API Support Levels](https://fluidframework.com/docs/build/releases-and-apitags/#api-support-levels).\n\nImport the `public` APIs from `@fluidframework/matrix`.\n\nImport the `legacy` APIs from `@fluidframework/matrix/legacy`.\n\n## API Documentation\n\nRead the **@fluidframework/matrix** API documentation at <https://fluidframework.com/docs/apis/matrix>.\n\n<!-- prettier-ignore-end -->\n<!-- markdown-magic:end -->\n\n## Operations\n\nThe SharedMatrix currently supports the following operations:\n\n-   `insertCols(col, numCols)` / `removeCols(col, numCols)`\n-   `insertRows(row, numRows)` / `removeRows(row, numRows)`\n-   `setCells(row, col, numCols, values)` (values is a 1D array in row-major order)\n\nInsertion / removal operations are reconciled using Fluid sequence semantics, while setCells() uses Fluid map semantics.\n\n## Implementation\n\nThe SharedMatrix data structure is comprised of:\n\n-   Two 'PermutationVectors', which are used to process row/col insertion and removal ops\n-   A sparse quadtree-like \"physical store\" for holding the cell values\n\n### Permutation Vectors\n\nThe 'PermutationVectors' provide a layer of indirection between the current logical row/col (e.g., `R2`) and the `[x,y]`\ncoordinate in the physical store where the cell value is stored.\n\nFor example, to store the following matrix:\n\n```\n                        A B C D <- logical col\n                      +--------\n                    1 | . . . 3\n    logical row ->  2 | . . . .\n                    3 | 8 . . .\n                    4 | C . . F\n```\n\nThe SparseMatrix allocates 3 rows and 2 columns from the physical storage:\n\n```\n                     0 . . 1 <- column allocs\n                   +--------\n                 0 | . . . 3\n                 . | . . . .\n   row allocs -> 1 | 8 . . .\n                 2 | C . . F\n```\n\nAnd writes the cell values to these locations:\n\n```\n                    0 1 <- physical col\n                  +----\n                0 | . 3\nphysical row -> 1 | 8 .\n                2 | C F\n```\n\nThe next row/column to be inserted is assigned the next available physical address, regardless of\nwhere the row/col was logically inserted. Deleted rows/cols are recycled after clearing the physical store.\n\nThis indirection between logical row/col and storage row/col provides three functions:\n\n1. It is used to elide empty rows & cols, increasing the storage density.\n2. It avoids copying cell values when rows/cols are inserted and removed (just the logical -> storage vector is\n   updated).\n3. It enables us to \"time-travel\" to previous matrix versions when reconciling ops from remote clients.\n\nTo support reconciliation, we use a MergeTree for each PermutationVector. MergeTree is a B-Tree of order 7 that\ntemporarily maintains some extra metadata to reconcile ops while they are within the current collab window.\n\n### Physical Storage\n\nCell data is stored in a quadtree-like data structure that is a recursive subdivision of 16x16 tiles. The\nimplementation leverages [Morton coding](https://en.wikipedia.org/wiki/Z-order_curve) to implement this as a cascade of\nfast 1D array accesses.\n\n```ts\nconst keyHi = r0c0ToMorton2x16(row >>> 16, col >>> 16);\nconst keyLo = r0c0ToMorton2x16((row << 16) >>> 16, (col << 16) >>> 16);\n\nconst level0 = this.root[keyHi];\nif (level0 !== undefined) {\n\tconst level1 = level0[byte0(keyLo)];\n\tif (level1 !== undefined) {\n\t\tconst level2 = level1[byte1(keyLo)];\n\t\tif (level2 !== undefined) {\n\t\t\tconst level3 = level2[byte2(keyLo)];\n\t\t\tif (level3 !== undefined) {\n\t\t\t\treturn level3[byte3(keyLo)];\n\t\t\t}\n\t\t}\n\t}\n}\nreturn undefined; // Empty region\n```\n\nA benefit of storing the cell data in [Z-order](https://en.wikipedia.org/wiki/Z-order_curve) is that both row-major and\ncol-major traversal benefit from prefetching and cache coherence. Reading/writing to the physical storage along either\naxis is typically within an order of magnitude compared to sequentially accessing a cache hot native JavaScript array.\n\n### Switching From Last Write Win(LWW) to First Write Win(FWW) mode\n\nShared Matrix allows a one-way switch from LWW to FWW. This is introduced in order to handle conflict\nwhen multiple clients at once initialize a cell. Using FWW, will help clients to receive a `conflict` event in case\ntheir change was rejected. They can resolve conflicts with the new information that they received in the event.\nThis event is only emitted when the SetCell Resolution Policy is First Write Win(FWW). This is emitted when two clients\nrace and send changes without observing each other changes, the changes that gets sequenced last would be rejected, and\nonly client whose changes were rejected would be notified via this event, with expectation that it will merge its changes\nback by accounting new information (state from winner of the race).\n\nSome cases which document how the Set op changes are applied or rejected during LWW -> FWW switch as some clients will\nbe in FWW mode and some will in LWW mode. When app calls `switchSetCellPolicy` the policy is changed to FWW mode\nimmediately and then later communicated to other clients via next SetOp which is made on the matrix.\n\n**Case 1:** When all clients have switched to FWW mode, then any race between 2 Set Op, will result in a `conflict` event\nat the loser client until it receives its own latest Set op. For example, client has sent op for cell C1. It receives remote\nops R1 and R2 for cell C1. It will first raise `conflict` event when it receives R1 and then another `conflict` event when\nit receives R2. This will keep happening until it receives its own op, so that its changes are not lost due to conflict.\n\n**Case 2:** Client switches policy to FWW locally. No SetOp is made yet. This client has no pending changes yet. On receiving\nremote Set ops, this client will apply them all.\n\n**Case 3:** Client switches policy to FWW locally. This client has pending changes for cell C1. On\nreceiving remote LWW Set op for C1, this client will reject it as its own op will finally be applied. So the first FWW\nSetOp is still treated as LWW op in a way. Now lets say it has received a remote FWW op for C1 instead of a LWW op, then\nthe remote op would have been applied causing client's policy to shift to FWW with that op. It will also raise a conflict\nevent locally as its Op for cell c1 will be rejected by other clients as it is a loser op.\n\n**Case 4:** In FWW mode, when there is no conflict, clients will still be able to overwrite cells. We track the sequence\nnumber for each cell when it was last edited and also track the clientId which made that change. If the receive a Op for\ncell C1, and its ref Sequence number is >= to sequence number at which it was last edited, then the cell would be\noverwritten. Otherwise, if the same client made the changes, then the op will still be applied as the client knew about\nthe previous edit.\n\n**Case 5: Reconnection:** When a client makes an op in LWW mode in disconnected state for cell C1, then when it comes online\nlater on, and catches up it sees a FWW op for C1, it will raise a `conflict` event for C1 and will not send it own op.\nIt can receive many ops for C1 during catchup and will raise `conflict` event for each of those in case they are winner\nops for C1.\n\n<!-- markdown-magic:begin {\"transform\":\"readme-footer\",\"headingLevel\":2} -->\n<!-- prettier-ignore-start -->\n<!-- NOTE: This section is automatically generated using @fluid-tools/markdown-magic. Do not update these generated contents directly. -->\n\n## Minimum Client Requirements\n\nFluid Framework client libraries support the platforms in this document.\nThese requirements are intentionally restrictive.\nWithin a major version series, we can relax these requirements, but we cannot make them stricter.\nFor a Long Term Support (LTS) version, we might need to support these platforms for several years.\n\nOther configurations can work, but Fluid Framework does not support them.\nIf an unsupported configuration stops working, we do not classify this as a bug.\nTo request support for a configuration that is not listed, file an issue.\nThe product team will evaluate your request.\nIn the issue, specify the current status of the configuration:\n\n- The configuration works but needs official support.\n- The configuration does not work and requires changes.\n\n### Supported Runtimes\n\n- Fluid Framework supports Node.js versions 22 and 24 while they receive [upstream support](https://nodejs.org/en/about/previous-releases).\n  - Fluid Framework will stop support for version 22 [when upstream support ends on 2027-04-30](https://github.com/nodejs/release#release-schedule).\n  - Fluid Framework does not support Node.js with the `--no-experimental-fetch` flag.\n- Fluid Framework supports modern browsers that support the ES2022 standard library.\n\n### Supported Tools\n\n- [TypeScript 6.0](https://typescriptdocs.com/release-notes/TypeScript%206.0):\n  - Fluid Framework supports all [`strict`](https://www.typescriptlang.org/tsconfig) options.\n  - Set the build targets (`lib`, `target`) to `ES2022` or later.\n  - Enable [`strictNullChecks`](https://www.typescriptlang.org/tsconfig).\n  - Fluid Framework does not support [configuration options deprecated in TypeScript 6.0](https://typescriptdocs.com/release-notes/TypeScript%206.0#breaking-changes-and-deprecations-in-typescript-6-0).\n  - Fluid Framework does not fully support `exactOptionalPropertyTypes`.\n    If you enable this option, do not use `in`, `Reflect.has`, `Object.hasOwn`, or `Object.prototype.hasOwnProperty` to narrow members of Fluid Framework types.\n    These methods can incorrectly exclude `undefined` from the possible values.\n- [webpack](https://webpack.js.org/) 5\n  - We do not require a specific bundler.\n    Other bundlers that handle ES Modules can work, but we actively test only webpack.\n\n### Module Resolution\n\nIn TypeScript `compilerOptions`, use [`Node16`, `Node20`, `NodeNext`, or `Bundler`](https://www.typescriptlang.org/tsconfig#moduleResolution) module resolution.\nThese settings follow the [Node.js v12+ ESM Resolution and Loading algorithm](https://nodejs.github.io/nodejs.dev/en/api/v20/esm/#resolution-and-loading-algorithm).\n\nDo not use `Node10` module resolution.\n\n### Module Formats\n\n- ES Modules:\n  Use ES Modules to consume Fluid Framework client packages, including in Node.js.\n- CommonJS:\n  Fluid Framework does not officially support CommonJS in version 3.0 or later.\n\n## Contribution Guidelines\n\nYou can [contribute](https://github.com/microsoft/FluidFramework/blob/main/CONTRIBUTING.md) to Fluid Framework in these ways:\n\n- Answer questions in [GitHub Discussions](https://github.com/microsoft/FluidFramework/discussions).\n- [Submit bug reports](https://github.com/microsoft/FluidFramework/issues) and help verify fixes.\n- Review [source code changes](https://github.com/microsoft/FluidFramework/pulls).\n- [Contribute bug fixes](https://github.com/microsoft/FluidFramework/blob/main/CONTRIBUTING.md).\n\nFor detailed instructions, read the [repo documentation](https://github.com/microsoft/FluidFramework/blob/main/docs/content/Home.md).\n\nThis project follows the [Microsoft Open Source Code of Conduct](https://opensource.microsoft.com/codeofconduct/).\nFor more information, read the [Code of Conduct frequently asked questions](https://opensource.microsoft.com/codeofconduct/faq/).\nFor questions or comments, contact <opencode@microsoft.com>.\n\nThis project may contain Microsoft trademarks or logos for Microsoft projects, products, or services.\nUse of these trademarks or logos must follow Microsoft’s [Trademark & Brand Guidelines](https://www.microsoft.com/trademarks).\nUse of Microsoft trademarks or logos in modified versions of this project must not cause confusion or imply Microsoft sponsorship.\n\n## Help\n\nRead the [Fluid Framework documentation](https://fluidframework.com/docs/) for information about Fluid Framework concepts and APIs.\n\nTo request information that the documentation does not contain, [create an issue](https://github.com/microsoft/FluidFramework/blob/main/docs/content/Contributing/Submitting-Bugs-and-Feature-Requests.md).\n\n## Trademark\n\nThis project may contain Microsoft trademarks or logos for Microsoft projects, products, or services.\n\nUse of these trademarks or logos must follow Microsoft's [Trademark & Brand Guidelines](https://www.microsoft.com/en-us/legal/intellectualproperty/trademarks/usage/general).\n\nUse of Microsoft trademarks or logos in modified versions of this project must not cause confusion or imply Microsoft sponsorship.\n\n<!-- prettier-ignore-end -->\n<!-- markdown-magic:end -->\n","readmeFilename":"README.md"}