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| 1 | +namespace GraphBLAS.FSharp.Backend.Algorithms |
| 2 | + |
| 3 | +open Brahma.FSharp |
| 4 | +open FSharp.Quotations |
| 5 | +open GraphBLAS.FSharp |
| 6 | +open GraphBLAS.FSharp.Objects |
| 7 | +open GraphBLAS.FSharp.Common |
| 8 | +open GraphBLAS.FSharp.Objects.ClMatrix |
| 9 | +open GraphBLAS.FSharp.Objects.ArraysExtensions |
| 10 | +open GraphBLAS.FSharp.Objects.ClContextExtensions |
| 11 | +open GraphBLAS.FSharp.Objects.ClCellExtensions |
| 12 | +open GraphBLAS.FSharp.Backend.Quotes |
| 13 | +open GraphBLAS.FSharp.Backend.Matrix.LIL |
| 14 | +open GraphBLAS.FSharp.Backend.Matrix.COO |
| 15 | + |
| 16 | +module internal MSBFS = |
| 17 | + let private frontExclude (clContext: ClContext) workGroupSize = |
| 18 | + |
| 19 | + let invert = |
| 20 | + ClArray.mapInPlace ArithmeticOperations.intNotQ clContext workGroupSize |
| 21 | + |
| 22 | + let prefixSum = |
| 23 | + PrefixSum.standardExcludeInPlace clContext workGroupSize |
| 24 | + |
| 25 | + let scatterIndices = |
| 26 | + Scatter.lastOccurrence clContext workGroupSize |
| 27 | + |
| 28 | + let scatterValues = |
| 29 | + Scatter.lastOccurrence clContext workGroupSize |
| 30 | + |
| 31 | + fun (queue: MailboxProcessor<_>) allocationMode (front: ClMatrix.COO<_>) (intersection: ClArray<int>) -> |
| 32 | + |
| 33 | + invert queue intersection |
| 34 | + |
| 35 | + let length = |
| 36 | + (prefixSum queue intersection).ToHostAndFree queue |
| 37 | + |
| 38 | + if length = 0 then |
| 39 | + None |
| 40 | + else |
| 41 | + let rows = |
| 42 | + clContext.CreateClArrayWithSpecificAllocationMode(allocationMode, length) |
| 43 | + |
| 44 | + let columns = |
| 45 | + clContext.CreateClArrayWithSpecificAllocationMode(allocationMode, length) |
| 46 | + |
| 47 | + let values = |
| 48 | + clContext.CreateClArrayWithSpecificAllocationMode(allocationMode, length) |
| 49 | + |
| 50 | + scatterIndices queue intersection front.Rows rows |
| 51 | + scatterIndices queue intersection front.Columns columns |
| 52 | + scatterValues queue intersection front.Values values |
| 53 | + |
| 54 | + { Context = clContext |
| 55 | + Rows = rows |
| 56 | + Columns = columns |
| 57 | + Values = values |
| 58 | + RowCount = front.RowCount |
| 59 | + ColumnCount = front.ColumnCount } |
| 60 | + |> Some |
| 61 | + |
| 62 | + module Levels = |
| 63 | + let private updateFrontAndLevels (clContext: ClContext) workGroupSize = |
| 64 | + |
| 65 | + let updateFront = frontExclude clContext workGroupSize |
| 66 | + |
| 67 | + let mergeDisjoint = |
| 68 | + Matrix.mergeDisjoint clContext workGroupSize |
| 69 | + |
| 70 | + let setLevel = ClArray.fill clContext workGroupSize |
| 71 | + |
| 72 | + let findIntersection = |
| 73 | + Intersect.findKeysIntersection clContext workGroupSize |
| 74 | + |
| 75 | + fun (queue: MailboxProcessor<_>) allocationMode (level: int) (front: ClMatrix.COO<_>) (levels: ClMatrix.COO<_>) -> |
| 76 | + |
| 77 | + // Find intersection of levels and front indices. |
| 78 | + let intersection = |
| 79 | + findIntersection queue DeviceOnly front levels |
| 80 | + |
| 81 | + // Remove mutual elements |
| 82 | + let newFront = |
| 83 | + updateFront queue allocationMode front intersection |
| 84 | + |
| 85 | + intersection.Free queue |
| 86 | + |
| 87 | + match newFront with |
| 88 | + | Some f -> |
| 89 | + let levelClCell = clContext.CreateClCell level |
| 90 | + |
| 91 | + // Set current level value to all remaining front positions |
| 92 | + setLevel queue levelClCell 0 f.Values.Length f.Values |
| 93 | + |
| 94 | + levelClCell.Free queue |
| 95 | + |
| 96 | + // Update levels |
| 97 | + let newLevels = mergeDisjoint queue levels f |
| 98 | + |
| 99 | + newLevels, newFront |
| 100 | + | _ -> levels, None |
| 101 | + |
| 102 | + let run<'a when 'a: struct> |
| 103 | + (add: Expr<int -> int -> int option>) |
| 104 | + (mul: Expr<int -> 'a -> int option>) |
| 105 | + (clContext: ClContext) |
| 106 | + workGroupSize |
| 107 | + = |
| 108 | + |
| 109 | + let spGeMM = |
| 110 | + Operations.SpGeMM.COO.expand add mul clContext workGroupSize |
| 111 | + |
| 112 | + let copy = Matrix.copy clContext workGroupSize |
| 113 | + |
| 114 | + let updateFrontAndLevels = |
| 115 | + updateFrontAndLevels clContext workGroupSize |
| 116 | + |
| 117 | + fun (queue: MailboxProcessor<Msg>) (matrix: ClMatrix<'a>) (source: int list) -> |
| 118 | + let vertexCount = matrix.RowCount |
| 119 | + let sourceVertexCount = source.Length |
| 120 | + |
| 121 | + let source = source |> List.sort |
| 122 | + |
| 123 | + let startMatrix = |
| 124 | + source |> List.mapi (fun i vertex -> i, vertex, 1) |
| 125 | + |
| 126 | + let mutable levels = |
| 127 | + startMatrix |
| 128 | + |> Matrix.ofList clContext DeviceOnly sourceVertexCount vertexCount |
| 129 | + |
| 130 | + let mutable front = copy queue DeviceOnly levels |
| 131 | + |
| 132 | + let mutable level = 1 |
| 133 | + let mutable stop = false |
| 134 | + |
| 135 | + while not stop do |
| 136 | + level <- level + 1 |
| 137 | + |
| 138 | + //Getting new frontier |
| 139 | + match spGeMM queue DeviceOnly (ClMatrix.COO front) matrix with |
| 140 | + | None -> |
| 141 | + front.Dispose queue |
| 142 | + stop <- true |
| 143 | + |
| 144 | + | Some newFrontier -> |
| 145 | + front.Dispose queue |
| 146 | + |
| 147 | + //Filtering visited vertices |
| 148 | + match updateFrontAndLevels queue DeviceOnly level newFrontier levels with |
| 149 | + | l, Some f -> |
| 150 | + front <- f |
| 151 | + |
| 152 | + levels.Dispose queue |
| 153 | + |
| 154 | + levels <- l |
| 155 | + |
| 156 | + newFrontier.Dispose queue |
| 157 | + |
| 158 | + | _, None -> |
| 159 | + stop <- true |
| 160 | + newFrontier.Dispose queue |
| 161 | + |
| 162 | + ClMatrix.COO levels |
| 163 | + |
| 164 | + module Parents = |
| 165 | + let private updateFrontAndParents (clContext: ClContext) workGroupSize = |
| 166 | + let frontExclude = frontExclude clContext workGroupSize |
| 167 | + |
| 168 | + let mergeDisjoint = |
| 169 | + Matrix.mergeDisjoint clContext workGroupSize |
| 170 | + |
| 171 | + let findIntersection = |
| 172 | + Intersect.findKeysIntersection clContext workGroupSize |
| 173 | + |
| 174 | + let copyIndices = ClArray.copyTo clContext workGroupSize |
| 175 | + |
| 176 | + fun (queue: MailboxProcessor<Msg>) allocationMode (front: ClMatrix.COO<_>) (parents: ClMatrix.COO<_>) -> |
| 177 | + |
| 178 | + // Find intersection of levels and front indices. |
| 179 | + let intersection = |
| 180 | + findIntersection queue DeviceOnly front parents |
| 181 | + |
| 182 | + // Remove mutual elements |
| 183 | + let newFront = |
| 184 | + frontExclude queue allocationMode front intersection |
| 185 | + |
| 186 | + intersection.Free queue |
| 187 | + |
| 188 | + match newFront with |
| 189 | + | Some f -> |
| 190 | + // Update parents |
| 191 | + let newParents = mergeDisjoint queue parents f |
| 192 | + |
| 193 | + copyIndices queue f.Columns f.Values |
| 194 | + |
| 195 | + newParents, Some f |
| 196 | + |
| 197 | + | _ -> parents, None |
| 198 | + |
| 199 | + let run<'a when 'a: struct> (clContext: ClContext) workGroupSize = |
| 200 | + |
| 201 | + let spGeMM = |
| 202 | + Operations.SpGeMM.COO.expand |
| 203 | + (ArithmeticOperations.min) |
| 204 | + (ArithmeticOperations.fst) |
| 205 | + clContext |
| 206 | + workGroupSize |
| 207 | + |
| 208 | + let updateFrontAndParents = |
| 209 | + updateFrontAndParents clContext workGroupSize |
| 210 | + |
| 211 | + fun (queue: MailboxProcessor<Msg>) (inputMatrix: ClMatrix<'a>) (source: int list) -> |
| 212 | + let vertexCount = inputMatrix.RowCount |
| 213 | + let sourceVertexCount = source.Length |
| 214 | + |
| 215 | + let source = source |> List.sort |
| 216 | + |
| 217 | + let matrix = |
| 218 | + match inputMatrix with |
| 219 | + | ClMatrix.CSR m -> |
| 220 | + { Context = clContext |
| 221 | + RowPointers = m.RowPointers |
| 222 | + Columns = m.Columns |
| 223 | + Values = m.Columns |
| 224 | + RowCount = m.RowCount |
| 225 | + ColumnCount = m.ColumnCount } |
| 226 | + |> ClMatrix.CSR |
| 227 | + | _ -> failwith "Incorrect format" |
| 228 | + |
| 229 | + let mutable parents = |
| 230 | + source |
| 231 | + |> List.mapi (fun i vertex -> i, vertex, -1) |
| 232 | + |> Matrix.ofList clContext DeviceOnly sourceVertexCount vertexCount |
| 233 | + |
| 234 | + let mutable front = |
| 235 | + source |
| 236 | + |> List.mapi (fun i vertex -> i, vertex, vertex) |
| 237 | + |> Matrix.ofList clContext DeviceOnly sourceVertexCount vertexCount |
| 238 | + |
| 239 | + let mutable stop = false |
| 240 | + |
| 241 | + while not stop do |
| 242 | + //Getting new frontier |
| 243 | + match spGeMM queue DeviceOnly (ClMatrix.COO front) matrix with |
| 244 | + | None -> |
| 245 | + front.Dispose queue |
| 246 | + stop <- true |
| 247 | + |
| 248 | + | Some newFrontier -> |
| 249 | + front.Dispose queue |
| 250 | + |
| 251 | + //Filtering visited vertices |
| 252 | + match updateFrontAndParents queue DeviceOnly newFrontier parents with |
| 253 | + | p, Some f -> |
| 254 | + front <- f |
| 255 | + |
| 256 | + parents.Dispose queue |
| 257 | + parents <- p |
| 258 | + |
| 259 | + newFrontier.Dispose queue |
| 260 | + |
| 261 | + | _, None -> |
| 262 | + stop <- true |
| 263 | + newFrontier.Dispose queue |
| 264 | + |
| 265 | + ClMatrix.COO parents |
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