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‎README.md

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<div align="center">
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<img alt="grape-icon" src="https://github.com/li3zhen1/Grape/assets/45376537/4ab08ea1-22e6-4fe8-ab2b-99ae325b46a6" height="96">
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<img alt="grape-icon" src="https://github.com/swiftgraphs/Grape/assets/45376537/4ab08ea1-22e6-4fe8-ab2b-99ae325b46a6" height="96">
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<h1 align="center">Grape</h1>
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</div>
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<p align="center">A Swift library for graph visualization and efficient force simulation.</p>
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<picture alt="example of grape">
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<source srcset="https://github.com/li3zhen1/Grape/assets/45376537/6703480d-5737-4a8e-bc08-92d8676456da" media="(prefers-color-scheme: dark)">
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<source srcset="https://github.com/li3zhen1/Grape/assets/45376537/22988cfb-8e01-49b7-a55b-b476fcd9de7c" media="(prefers-color-scheme: light)">
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<img src="https://github.com/li3zhen1/Grape/assets/45376537/22988cfb-8e01-49b7-a55b-b476fcd9de7c">
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<source srcset="https://github.com/swiftgraphs/Grape/assets/45376537/6703480d-5737-4a8e-bc08-92d8676456da" media="(prefers-color-scheme: dark)">
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<source srcset="https://github.com/swiftgraphs/Grape/assets/45376537/22988cfb-8e01-49b7-a55b-b476fcd9de7c" media="(prefers-color-scheme: light)">
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<img src="https://github.com/swiftgraphs/Grape/assets/45376537/22988cfb-8e01-49b7-a55b-b476fcd9de7c">
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</picture>
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<br/>
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https://github.com/li3zhen1/Grape/assets/45376537/d80dc797-1980-4755-85b9-18ee26e2a7ff
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https://github.com/swiftgraphs/Grape/assets/45376537/d80dc797-1980-4755-85b9-18ee26e2a7ff
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Source code: [Miserables.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/Miserables.swift).
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Source code: [Miserables.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/Miserables.swift).
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https://github.com/li3zhen1/Grape/assets/45376537/4585471e-2339-4aee-8f39-0c11fdfb6901
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https://github.com/swiftgraphs/Grape/assets/45376537/4585471e-2339-4aee-8f39-0c11fdfb6901
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Source code: [ForceDirectedGraph3D/ContentView.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraph3D/ForceDirectedGraph3D/ContentView.swift).
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Source code: [ForceDirectedGraph3D/ContentView.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraph3D/ForceDirectedGraph3D/ContentView.swift).
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<br/>
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Dynamical graph structure based on your input, with tap and drag gesture supports, all within 100 lines of view body.
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https://github.com/li3zhen1/Grape/assets/45376537/7c75d367-d5a8-4316-813b-288b375f513b
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https://github.com/swiftgraphs/Grape/assets/45376537/7c75d367-d5a8-4316-813b-288b375f513b
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Source code: [MermaidVisualization.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MermaidVisualization.swift)
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Source code: [MermaidVisualization.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MermaidVisualization.swift)
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<br/>
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</summary>
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https://github.com/li3zhen1/Grape/assets/45376537/5b76fddc-dd5c-4d35-bced-29c01269dd2b
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https://github.com/swiftgraphs/Grape/assets/45376537/5b76fddc-dd5c-4d35-bced-29c01269dd2b
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Source code: [Lattice.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/Lattice.swift)
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Source code: [Lattice.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/Lattice.swift)
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</details>
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</summary>
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https://github.com/li3zhen1/Grape/assets/45376537/73213e7f-73ee-44f3-9b3e-7e58355045d2
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https://github.com/swiftgraphs/Grape/assets/45376537/73213e7f-73ee-44f3-9b3e-7e58355045d2
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Source code: [MyRing.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MyRing.swift)
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Source code: [MyRing.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MyRing.swift)
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</details>
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<br/>
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To use Grape in an Xcode project by adding it to your project as a package:
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```
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https://github.com/li3zhen1/Grape
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https://github.com/swiftgraphs/Grape
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```
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To use Grape in a [SwiftPM](https://swift.org/package-manager/) project, add this to your `Package.swift`:
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``` swift
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dependencies: [
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.package(url: "https://github.com/li3zhen1/Grape", from: "0.7.0")
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.package(url: "https://github.com/swiftgraphs/Grape", from: "0.7.0")
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]
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```
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```
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See [Example](https://github.com/li3zhen1/Grape/tree/main/Examples/ForceDirectedGraphExample) for more details.
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See [Example](https://github.com/swiftgraphs/Grape/tree/main/Examples/ForceDirectedGraphExample) for more details.
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</details>
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#### Simulation
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Grape uses simd to calculate position and velocity. Currently it takes **~0.005** seconds to iterate 120 times over the example graph(2D). (77 vertices, 254 edges, with manybody, center, collide and link forces. Release build on a M1 Max, [tested](https://github.com/li3zhen1/Grape/blob/main/Tests/ForceSimulationTests/MiserableGraphTest.swift) with command `swift test -c release`)
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Grape uses simd to calculate position and velocity. Currently it takes **~0.005** seconds to iterate 120 times over the example graph(2D). (77 vertices, 254 edges, with manybody, center, collide and link forces. Release build on a M1 Max, [tested](https://github.com/swiftgraphs/Grape/blob/main/Tests/ForceSimulationTests/MiserableGraphTest.swift) with command `swift test -c release`)
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For 3D simulation, it takes **~0.008** seconds for the same graph and same configs.
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<br/>
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#### KDTree
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The `BufferedKDTree` from this package is **~22x** faster than `GKQuadtree` from Apple’s GameKit, according to this [test case](https://github.com/li3zhen1/Grape/blob/main/Tests/ForceSimulationTests/GKTreeCompareTest.swift). However, please note that comparing Swift structs with NSObjects is unfair, and their behaviors are different.
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The `BufferedKDTree` from this package is **~22x** faster than `GKQuadtree` from Apple’s GameKit, according to this [test case](https://github.com/swiftgraphs/Grape/blob/main/Tests/ForceSimulationTests/GKTreeCompareTest.swift). However, please note that comparing Swift structs with NSObjects is unfair, and their behaviors are different.
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<br/>

‎Sources/ForceSimulation/ForceSimulation.docc/CreatingASimulationWithBuiltinForces.md

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In this example, we run our simulation in a 2D space (`SIMD2<Double>`). We explicitly create a ``SealedForce2D`` to make sure the force is in the same dimension as the Kinetics. The `Vector` in `Simulation` is inferred from the force we pass.
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See [Examples](https://github.com/li3zhen1/Grape/tree/main/Examples) for example Xcode projects.
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See [Examples](https://github.com/swiftgraphs/Grape/tree/main/Examples) for example Xcode projects.

‎Sources/Grape/Grape.docc/CreatingAForceDirectedGraph.md

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Grape provides a set of interactions and events to help you respond to user interactions, including dragging, zooming, and tapping. They are mostly supported by default, and you can install your callbacks to respond to them.
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For detailed usages, please refer to [MermaidVisualization.swift](https://github.com/li3zhen1/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MermaidVisualization.swift).
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For detailed usages, please refer to [MermaidVisualization.swift](https://github.com/swiftgraphs/Grape/blob/main/Examples/ForceDirectedGraphExample/ForceDirectedGraphExample/MermaidVisualization.swift).
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@Video(source: "https://github.com/li3zhen1/Grape/assets/45376537/80d933c1-8b5b-4b1a-9062-9628577bd2e0", alt: "A screen record of mermaid")
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@Video(source: "https://github.com/swiftgraphs/Grape/assets/45376537/80d933c1-8b5b-4b1a-9062-9628577bd2e0", alt: "A screen record of mermaid")
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// TODO: Add examples

‎Sources/Grape/Views/ForceDirectedGraphModel.findNode.swift

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else { continue }
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let iPos = simulationContext.storage.kinetics.position[i]
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/// https://github.com/li3zhen1/Grape/pull/62#issue-2753932460
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/// https://github.com/swiftgraphs/Grape/pull/62#issue-2753932460
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///
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/// ```swift
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/// let actualRadius = pow((iRadius2 * 0.5), 0.5) * 0.5

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