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"domain": "com.microsoft",
"name": "TransposeMatMul",
"sinceVersion": 1,
"inputs": { "A": { "dtype": "T" }, "B": { "dtype": "T" } },
"outputs": {
"Y": {
"dtype": "T",
"rank": "max(ranks.A, ranks.B) - (1 if ranks.A == 1 or ranks.B == 1 else 0)",
"shape": "matmulShape(logicalAShape, logicalBShape)"
}
},
"attributes": { "alpha": { "default": 1 }, "transA": { "default": 0 }, "transB": { "default": 0 } },
"typeConstraints": { "T": ["float32", "float16"] },
"tunables": {
"TILED_REG_MIN_WORKGROUPS": { "default": 64 },
"PLAIN_RANK2_REG_DEEP_K_TILES": { "default": 128 },
"GEMV_TARGET_BLOCKS": { "default": 512 },
"SUBGROUP_MATRIX_MIN_M": { "default": 2 },
"SUBGROUP_MATRIX_SPLITK_TARGET_WGS": { "default": 512 },
"SUBGROUP_MATRIX_SPLITK_MIN_K": { "default": 1024 },
"SUBGROUP_MATRIX_SPLITK_MAX_TILES": { "default": 128 },
"BAND_VEC4_MAX_ROWS": { "default": 16 },
"BAND_SPLIT_TARGET_WORKGROUPS": { "default": 256 },
"BAND_SPLIT_MAX_COLUMN_GROUPS": { "default": 24 },
"BAND_SPLIT_SLICES": { "default": 8 },
"BAND_PREFER_MAX_ROWS": { "default": 8 },
"BAND_PREFER_DEEP_K": { "default": 4096 },
"BROADCAST_TRANSB_MIN_WORKGROUPS": { "default": 64 },
"BROADCAST_TRANSB_MAX_PADDING_RATIO": { "default": 2 }
},
"derive": {
"batchMovedAShape": "shapes.A",
"batchMovedBShape": "shapes.B",
"logicalAShape": "moveAxis(batchMovedAShape, -1, -2) if attrs.transA != 0 and ranks.A > 1 else batchMovedAShape",
"logicalBShape": "moveAxis(batchMovedBShape, -1, -2) if attrs.transB != 0 and ranks.B > 1 else batchMovedBShape",
"gemvN": "dim(shapes.B, 1)",
"wave32Adapter": "has(device.adapterInfo, \"subgroupMinSize\") and has(device.adapterInfo, \"subgroupMaxSize\") and device.adapterInfo.subgroupMinSize == 32 and device.adapterInfo.subgroupMaxSize == 32",
"canPinSubgroupSize32": "device.features.has(\"subgroups\") and device.features.has(\"subgroup-size-control\") and has(device.adapterInfo, \"subgroupMinSize\") and has(device.adapterInfo, \"subgroupMaxSize\") and device.adapterInfo.subgroupMinSize <= 32 and device.adapterInfo.subgroupMaxSize >= 32",
"pinSubgroupSize32": "canPinSubgroupSize32 and not wave32Adapter",
"wave32Effective": "wave32Adapter or pinSubgroupSize32",
"variableSubgroup16To32": "device.features.has(\"subgroups\") and has(device.adapterInfo, \"subgroupMinSize\") and has(device.adapterInfo, \"subgroupMaxSize\") and device.adapterInfo.subgroupMinSize == 16 and device.adapterInfo.subgroupMaxSize == 32",
"deviceWorkgroupCap": "min(device.limits.maxComputeInvocationsPerWorkgroup, device.limits.maxComputeWorkgroupSizeX)",
"rank2DeepPortableTier": "variableSubgroup16To32 or (has(device.adapterInfo, \"architecture\") and (device.adapterInfo.architecture == \"pascal\" or (not device.features.has(\"subgroups\") and (device.adapterInfo.architecture == \"apple\" or device.adapterInfo.architecture == \"gen-9\"))))",
"broadcastTransbM": "dim(shapes.A, ranks.A - 2)",
"broadcastTransbN": "dim(shapes.B, ranks.B - 2)",
"broadcastTransbK": "dim(shapes.A, ranks.A - 1)",
"broadcastTransbBatches": "numel(shapes.Y) / (dim(shapes.A, ranks.A - 2) * dim(shapes.B, ranks.B - 2))",
"gemvLanes": 32,
"vec4OutputTile": "4 * gemvLanes",
"gemvWorkgroups": "ceilDiv(gemvN, vec4OutputTile)",
"gemvSliceCap": "min(32, device.limits.maxComputeWorkgroupSizeY, floor(device.limits.maxComputeInvocationsPerWorkgroup / gemvLanes), floor(device.limits.maxComputeWorkgroupStorageSize / (16 * gemvLanes)))",
"gemvSlices": "max(1, min(gemvSliceCap, max(8, pow2ceil(ceilDiv(tunables.GEMV_TARGET_BLOCKS, gemvWorkgroups)))))",
"gemvResourcesFit": "gemvLanes <= device.limits.maxComputeWorkgroupSizeX and gemvSlices <= device.limits.maxComputeWorkgroupSizeY and gemvLanes * gemvSlices <= device.limits.maxComputeInvocationsPerWorkgroup and 16 * gemvLanes * gemvSlices <= device.limits.maxComputeWorkgroupStorageSize",
"registerTile": 64,
"generalTile": 32,
"tiledRegResourcesFit": "registerTile / 4 <= device.limits.maxComputeWorkgroupSizeX and registerTile / 4 <= device.limits.maxComputeWorkgroupSizeY and registerTile * registerTile / 16 <= device.limits.maxComputeInvocationsPerWorkgroup and 32 * registerTile * dtypeBytes(dtypes.T) <= device.limits.maxComputeWorkgroupStorageSize",
"plainRank2RegDeepPreferredTier": "rank2DeepPortableTier and dim(shapes.A, 1) >= tunables.PLAIN_RANK2_REG_DEEP_K_TILES * 16 and dim(shapes.A, 1) % 16 == 0",
"subgroupMatrixResourcesFit": "128 <= deviceWorkgroupCap and ((32 * 32 + 64 * 32) * dtypeBytes(dtypes.T) + 4 * 4 * 64 * 4) <= device.limits.maxComputeWorkgroupStorageSize",
"sgmatSplitKDepth": "dim(shapes.A, ranks.A - 1)",
"sgmatSplitK32Ok": "sgmatSplitKDepth % 1024 == 0",
"sgmatSplitK16Ok": "sgmatSplitKDepth % 512 == 0",
"sgmatSplitK8Ok": "sgmatSplitKDepth % 256 == 0",
"sgmatSplitK4Ok": "sgmatSplitKDepth % 128 == 0",
"sgmatSplitK2Ok": "sgmatSplitKDepth % 64 == 0",
"bandSplitWant": "pow2ceil(ceilDiv(tunables.BAND_SPLIT_TARGET_WORKGROUPS, max(1, gemvWorkgroups)))",
"bandSplitK": "16 if (bandSplitWant >= 16 and dim(shapes.A, ranks.A - 1) >= 4096) else (8 if (bandSplitWant >= 8 and dim(shapes.A, ranks.A - 1) >= 2048) else (4 if (bandSplitWant >= 4 and dim(shapes.A, ranks.A - 1) >= 1024) else (2 if (bandSplitWant >= 2 and dim(shapes.A, ranks.A - 1) >= 512) else 1)))",
"scalar": "dtypes.T",
"alpha": "attrs.alpha",
"vectorScalar": "\"vec4<\" ~ dtypes.T ~ \">\"",
"fScalar": "\"f16\" if dtypes.T == \"f16\" else \"f32\"",
"aRank": "ranks.A",
"bRank": "ranks.B",
"fusedSgmatRank2Ok": "ranks.A == 2 and ranks.B == 2 and ranks.Y == 2 and attrs.transA == 0 and attrs.transB == 0 and dim(shapes.A, 1) == dim(shapes.B, 0) and dim(shapes.Y, 0) == dim(shapes.A, 0) and dim(shapes.Y, 1) == dim(shapes.B, 1)",
"sgmatOutTiles": "ceilDiv(dim(shapes.A, 0), 32) * ceilDiv(dim(shapes.B, 1), 64) if fusedSgmatRank2Ok else 1",
"sgmatSplitKWant": "ceilDiv(tunables.SUBGROUP_MATRIX_SPLITK_TARGET_WGS, sgmatOutTiles)",
"sgmatSplitK": "32 if (sgmatSplitKWant > 16 and sgmatSplitK32Ok) else (16 if (sgmatSplitKWant > 8 and sgmatSplitK16Ok) else (8 if (sgmatSplitKWant > 4 and sgmatSplitK8Ok) else (4 if (sgmatSplitKWant > 2 and sgmatSplitK4Ok) else (2 if sgmatSplitK2Ok else 1))))",
"bandRank2Ok": "ranks.A == 2 and ranks.B == 2 and ranks.Y == 2 and attrs.transA == 0 and attrs.transB == 0 and dim(shapes.A, 1) == dim(shapes.B, 0) and dim(shapes.Y, 0) == dim(shapes.A, 0) and dim(shapes.Y, 1) == dim(shapes.B, 1)",
"broadcastTransbContract": "(f16Ok(dtypes.T)) and (attrs.transA == 0 and attrs.transB != 0) and (ranks.A > ranks.B and ranks.B >= 2) and (ranks.Y == ranks.A) and (sameShape(shapes.Y, matmulShape(logicalAShape, logicalBShape))) and (dim(shapes.A, ranks.A - 1) == dim(shapes.B, ranks.B - 1)) and (dim(shapes.A, ranks.A - 2) >= 64) and (dim(shapes.A, ranks.A - 1) >= 32) and (dim(shapes.B, ranks.B - 2) >= 64) and (numel(shapes.Y) / (dim(shapes.A, ranks.A - 2) * dim(shapes.B, ranks.B - 2)) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535))"
},
"bindings": {
"a": { "arg": "A", "elementType": "$scalar" },
"b": { "arg": "B", "elementType": "$vectorScalar" },
"partials": { "buffer": "read-only-storage", "elementType": "f32" },
"y": { "arg": "Y", "elementType": "$scalar" },
"params": { "struct": [{ "name": "cols", "type": "u32", "value": "numel(shapes.Y)" }] },
"b_scalar": { "arg": "B", "name": "b", "elementType": "$scalar" },
"params_rows": { "name": "params", "struct": [{ "name": "M", "type": "u32", "value": "rowCount" }] }
},
"variants": [
{
"id": "broadcast_transb_tiled_reg",
"priority": 6,
"when": ["broadcastTransbContract", "tiledRegResourcesFit", "ceilDiv(dim(shapes.A, ranks.A - 2), registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceilDiv(dim(shapes.B, ranks.B - 2), registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"derive": {
"bShape": "logicalBShape",
"bTransposed": true,
"rowCount": "outer(shapes.A, ranks.A - 1) if ranks.B == 2 else broadcastTransbM",
"N": "broadcastTransbN",
"batchCount": "broadcastTransbBatches if ranks.B > 2 else 1",
"transBatchA": false,
"regSequentialK": "dtypes.T == \"f16\""
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.BroadcastTransBTiledReg",
"shader": "matmul-tiled-general-reg.wgsl.jinja",
"derive": {
"aBatchShape": "prefix(shapes.A, ranks.A - 2) if ranks.B > 2 else []",
"aRank": "ranks.A if ranks.B > 2 else 2",
"K": "dim(shapes.A, ranks.A - 1)"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": { "x": "ceilDiv(N, registerTile)", "y": "ceilDiv(rowCount, registerTile)", "z": "batchCount" }
}
],
"demoteWhen": ["broadcastTransbBatches * ceilDiv(broadcastTransbM, registerTile) * ceilDiv(broadcastTransbN, registerTile) < tunables.BROADCAST_TRANSB_MIN_WORKGROUPS", "ceilDiv(broadcastTransbM, registerTile) * registerTile * ceilDiv(broadcastTransbN, registerTile) * registerTile * ceilDiv(broadcastTransbK,16) * 16 > tunables.BROADCAST_TRANSB_MAX_PADDING_RATIO * broadcastTransbM * broadcastTransbN * broadcastTransbK"]
},
{
"id": "broadcast_transb_subgroup_matrix_f16",
"priority": 11,
"when": ["broadcastTransbContract", "dtypes.T == \"f16\"", "wave32Effective", "subgroupMatrixResourcesFit", "ceilDiv(dim(shapes.A, ranks.A - 2),32) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceilDiv(dim(shapes.B, ranks.B - 2),64) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"requires": {
"features": ["subgroups", "chromium-experimental-subgroup-matrix"],
"subgroupMatrixConfigs": [{ "componentType": "f16", "M": 8, "N": 8, "K": 8 }]
},
"derive": {
"bShape": "logicalBShape",
"bTransposed": true,
"rowCount": "outer(shapes.A, ranks.A - 1) if ranks.B == 2 else broadcastTransbM",
"K": "broadcastTransbK",
"N": "broadcastTransbN",
"batchCount": "broadcastTransbBatches if ranks.B > 2 else 1",
"hasBias": false,
"fScalar": "dtypes.T",
"outScalar": "dtypes.T",
"generalAddressing": true,
"tailSafe": "dim(shapes.A, ranks.A - 1) % 32 != 0 or dim(shapes.B, ranks.B - 2) % 64 != 0",
"outputBuffer": "\"y\""
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.BroadcastTransBSubgroupMatrix",
"shader": "matmul-subgroup-matrix-ext.wgsl.jinja",
"derive": {
"aBatchShape": "prefix(shapes.A, ranks.A - 2) if ranks.B > 2 else []",
"aRank": "ranks.A if ranks.B > 2 else 2"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": { "x": "ceilDiv(N,64)", "y": "ceilDiv(rowCount,32)", "z": "batchCount" }
}
],
"demoteWhen": ["broadcastTransbBatches * ceilDiv(broadcastTransbM,32) * ceilDiv(broadcastTransbN,64) < tunables.BROADCAST_TRANSB_MIN_WORKGROUPS", "ceilDiv(broadcastTransbM,32) * 32 * ceilDiv(broadcastTransbN,64) * 64 * ceilDiv(broadcastTransbK,32) * 32 > tunables.BROADCAST_TRANSB_MAX_PADDING_RATIO * broadcastTransbM * broadcastTransbN * broadcastTransbK"]
},
{
"id": "broadcast_transb_subgroup_matrix_f32",
"priority": 11,
"when": ["broadcastTransbContract", "dtypes.T == \"f32\"", "wave32Effective", "subgroupMatrixResourcesFit", "ceilDiv(dim(shapes.A, ranks.A - 2),32) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceilDiv(dim(shapes.B, ranks.B - 2),64) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"requires": {
"features": ["subgroups", "chromium-experimental-subgroup-matrix"],
"subgroupMatrixConfigs": [{ "componentType": "f32", "resultComponentType": "f32", "M": 8, "N": 8, "K": 8 }]
},
"derive": {
"bShape": "logicalBShape",
"bTransposed": true,
"rowCount": "outer(shapes.A, ranks.A - 1) if ranks.B == 2 else broadcastTransbM",
"K": "broadcastTransbK",
"N": "broadcastTransbN",
"batchCount": "broadcastTransbBatches if ranks.B > 2 else 1",
"hasBias": false,
"fScalar": "dtypes.T",
"outScalar": "dtypes.T",
"generalAddressing": true,
"tailSafe": "dim(shapes.A, ranks.A - 1) % 32 != 0 or dim(shapes.B, ranks.B - 2) % 64 != 0",
"outputBuffer": "\"y\""
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.BroadcastTransBSubgroupMatrix",
"shader": "matmul-subgroup-matrix-ext.wgsl.jinja",
"derive": {
"aBatchShape": "prefix(shapes.A, ranks.A - 2) if ranks.B > 2 else []",
"aRank": "ranks.A if ranks.B > 2 else 2"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": { "x": "ceilDiv(N,64)", "y": "ceilDiv(rowCount,32)", "z": "batchCount" }
}
],
"demoteWhen": ["broadcastTransbBatches * ceilDiv(broadcastTransbM,32) * ceilDiv(broadcastTransbN,64) < tunables.BROADCAST_TRANSB_MIN_WORKGROUPS", "ceilDiv(broadcastTransbM,32) * 32 * ceilDiv(broadcastTransbN,64) * 64 * ceilDiv(broadcastTransbK,32) * 32 > tunables.BROADCAST_TRANSB_MAX_PADDING_RATIO * broadcastTransbM * broadcastTransbN * broadcastTransbK"]
},
{
"id": "m1_gemv_vec4",
"priority": 30,
"when": ["(dtypes.T == \"f32\" or dtypes.T == \"f16\")", "attrs.transA == 0", "attrs.transB == 0", "ranks.A == 2", "ranks.B == 2", "ranks.Y == 2", "dim(shapes.A, 0) == 1", "dim(shapes.Y, 0) == 1", "dim(shapes.A, 1) == dim(shapes.B, 0)", "dim(shapes.Y, 1) == dim(shapes.B, 1)", "dim(shapes.B, 1) > 0", "dim(shapes.B, 1) % 4 == 0", "gemvWorkgroups <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "f16Ok(dtypes.T)"],
"derive": {
"unrollK2": "dtypes.T == \"f16\"",
"gemvScalar": "dtypes.T",
"gemvVector": "\"vec4<\" ~ dtypes.T ~ \">\"",
"alphaScale": "attrs.alpha"
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.M1GemvVec4",
"shader": "matmul-vector-matrix-vec4.wgsl.jinja",
"bindings": [
{ "arg": "A", "name": "a", "elementType": "$gemvScalar" },
{ "arg": "B", "name": "b", "elementType": "$gemvVector" },
{ "arg": "Y", "name": "c", "elementType": "$gemvVector" },
{
"name": "params",
"struct": [
{ "name": "K", "type": "u32", "value": "dim(shapes.A, 1)" },
{ "name": "N4", "type": "u32", "value": "dim(shapes.B, 1) / 4" }
]
}
],
"dispatch": { "x": "gemvWorkgroups" }
}
]
},
{
"id": "rank2_band_vec4_splitk",
"priority": 11,
"when": ["(dtypes.T == \"f32\" or dtypes.T == \"f16\") and f16Ok(dtypes.T)", "bandRank2Ok", "dim(shapes.A, 0) >= 2", "dim(shapes.A, 0) <= tunables.BAND_VEC4_MAX_ROWS", "dim(shapes.A, 1) > 0", "dim(shapes.B, 1) > 0", "dim(shapes.B, 1) % 4 == 0", "gemvWorkgroups <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "gemvLanes <= device.limits.maxComputeWorkgroupSizeX", "gemvWorkgroups <= tunables.BAND_SPLIT_MAX_COLUMN_GROUPS", "bandSplitK >= 2", "bandSplitK * numel(shapes.Y) * 4 <= device.limits.maxStorageBufferBindingSize", "bandSplitK <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "tunables.BAND_SPLIT_SLICES <= device.limits.maxComputeWorkgroupSizeY", "gemvLanes * tunables.BAND_SPLIT_SLICES <= device.limits.maxComputeInvocationsPerWorkgroup"],
"derive": {
"batched": false,
"outputBuffer": "\"y\"",
"M": "dim(shapes.A, 0)",
"K": "dim(shapes.A, 1)",
"N": "dim(shapes.B, 1)",
"gemvSlices": "tunables.BAND_SPLIT_SLICES",
"kSplits": "bandSplitK",
"split": "bandSplitK",
"workgroupSize": 256
},
"intermediates": [{ "id": "partials", "dtype": "float32", "shape": "[bandSplitK * numel(shapes.Y)]" }],
"passes": [
{
"id": "partial",
"name": "TransposeMatMul.Rank2BandVec4SplitK",
"shader": "matmul-band-vec4.wgsl.jinja",
"bindings": ["a", "b", { "scratch": "partials", "name": "y", "elementType": "vec4<f32>" }],
"dispatch": { "x": "gemvWorkgroups", "y": "bandSplitK" }
},
{
"id": "combine",
"name": "TransposeMatMul.Rank2BandVec4SplitKCombine",
"shader": "reduce-axis0-splitk-combine.wgsl.jinja",
"derive": { "op": "\"sum\"", "outputF16": "dtypes.T == \"f16\"" },
"bindings": ["partials", "y", "params"],
"dispatch": {
"x": "min(ceilDiv((numel(shapes.Y)), (256)), 65535)",
"y": "ceilDiv(ceilDiv((numel(shapes.Y)), (256)), 65535)",
"z": 1
}
}
]
},
{
"id": "rank2_band_vec4",
"priority": 11,
"when": ["(dtypes.T == \"f32\" or dtypes.T == \"f16\") and f16Ok(dtypes.T)", "bandRank2Ok", "dim(shapes.A, 0) >= 2", "dim(shapes.A, 0) <= tunables.BAND_VEC4_MAX_ROWS", "dim(shapes.A, 1) > 0", "dim(shapes.B, 1) > 0", "dim(shapes.B, 1) % 4 == 0", "gemvWorkgroups <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "gemvResourcesFit", "not (gemvWorkgroups <= tunables.BAND_SPLIT_MAX_COLUMN_GROUPS and bandSplitK >= 2)"],
"derive": {
"batched": false,
"outputBuffer": "\"y\"",
"M": "dim(shapes.A, 0)",
"K": "dim(shapes.A, 1)",
"N": "dim(shapes.B, 1)"
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.Rank2BandVec4",
"shader": "matmul-band-vec4.wgsl.jinja",
"bindings": ["a", "b", { "arg": "Y", "name": "y", "elementType": "$vectorScalar" }],
"dispatch": { "x": "gemvWorkgroups" }
}
]
},
{
"id": "rank2_band_vec4_f32_preferred",
"priority": 13,
"when": ["(dtypes.T == \"f32\" or dtypes.T == \"f16\") and f16Ok(dtypes.T)", "bandRank2Ok", "dim(shapes.A, 0) >= 2", "dim(shapes.A, 0) <= tunables.BAND_VEC4_MAX_ROWS", "dim(shapes.A, 1) > 0", "dim(shapes.B, 1) > 0", "dim(shapes.B, 1) % 4 == 0", "gemvWorkgroups <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "gemvResourcesFit", "not (gemvWorkgroups <= tunables.BAND_SPLIT_MAX_COLUMN_GROUPS and bandSplitK >= 2)"],
"demoteWhen": ["dtypes.T != \"f32\" or (dim(shapes.A, 0) > tunables.BAND_PREFER_MAX_ROWS and dim(shapes.A, 1) >= tunables.BAND_PREFER_DEEP_K)"],
"derive": {
"batched": false,
"outputBuffer": "\"y\"",
"M": "dim(shapes.A, 0)",
"K": "dim(shapes.A, 1)",
"N": "dim(shapes.B, 1)"
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.Rank2BandVec4",
"shader": "matmul-band-vec4.wgsl.jinja",
"bindings": ["a", "b", { "arg": "Y", "name": "y", "elementType": "$vectorScalar" }],
"dispatch": { "x": "gemvWorkgroups" }
}
]
},
{
"id": "subgroup_matrix_splitk",
"priority": 12,
"when": ["(dtypes.T == \"f16\" or dtypes.T == \"f32\") and f16Ok(dtypes.T)", "fusedSgmatRank2Ok", "dim(shapes.A, 0) >= tunables.SUBGROUP_MATRIX_MIN_M", "dim(shapes.A, 1) >= tunables.SUBGROUP_MATRIX_SPLITK_MIN_K", "dim(shapes.B, 1) % 64 == 0", "sgmatSplitK >= 2", "sgmatOutTiles < tunables.SUBGROUP_MATRIX_SPLITK_MAX_TILES", "sgmatSplitK * numel(shapes.Y) * 4 <= device.limits.maxStorageBufferBindingSize", "sgmatSplitK <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceilDiv(dim(shapes.Y, 1), 64) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceilDiv(dim(shapes.Y, 0), 32) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "subgroupMatrixResourcesFit", "wave32Effective"],
"requires": {
"features": ["subgroups", "chromium-experimental-subgroup-matrix"],
"subgroupMatrixConfigs": [
{ "componentType": "f16", "M": 8, "N": 8, "K": 8 },
{ "componentType": "f32", "resultComponentType": "f32", "M": 8, "N": 8, "K": 8 }
]
},
"derive": {
"hasBias": false,
"generalAddressing": true,
"tailSafe": false,
"outputBuffer": "\"partials\"",
"outScalar": "\"f32\"",
"rowCount": "dim(shapes.A, 0)",
"K": "dim(shapes.A, 1)",
"N": "dim(shapes.B, 1)",
"batchCount": 1,
"splitK": "sgmatSplitK",
"kPerSplit": "dim(shapes.A, 1) / sgmatSplitK",
"split": "sgmatSplitK",
"workgroupSize": 256
},
"intermediates": [{ "id": "partials", "dtype": "float32", "shape": "[sgmatSplitK * numel(shapes.Y)]" }],
"passes": [
{
"id": "partial",
"name": "TransposeMatMul.SubgroupMatrixSplitK",
"shader": "matmul-subgroup-matrix-ext.wgsl.jinja",
"derive": { "bShape": ["dim(shapes.B, 0)", "dim(shapes.B, 1)"], "aRank": 2, "bRank": 2 },
"bindings": ["a", "b_scalar", { "name": "partials", "elementType": "f32" }, "params_rows"],
"dispatch": { "x": "ceilDiv(dim(shapes.Y, 1), 64)", "y": "ceilDiv(dim(shapes.Y, 0), 32)", "z": "sgmatSplitK" }
},
{
"id": "combine",
"name": "TransposeMatMul.SubgroupMatrixSplitKCombine",
"shader": "reduce-axis0-splitk-combine.wgsl.jinja",
"derive": { "op": "\"sum\"", "outputF16": "dtypes.T == \"f16\"" },
"bindings": ["partials", "y", "params"],
"dispatch": {
"x": "min(ceilDiv((numel(shapes.Y)), (256)), 65535)",
"y": "ceilDiv(ceilDiv((numel(shapes.Y)), (256)), 65535)",
"z": 1
}
}
]
},
{
"id": "subgroup_matrix_tail_broadcast",
"priority": 11,
"when": ["dtypes.T == \"f16\"", "f16Ok(dtypes.T)", "attrs.transA == 0", "attrs.transB == 0", "(((ranks.A == 2 and ranks.B == 2 and ranks.Y == 2) or (ranks.A == 4 and ranks.B == 3 and ranks.Y == 4 and dim(shapes.Y, 0) == dim(shapes.A, 0) and (dim(shapes.A, 1) == dim(shapes.B, 0) or dim(shapes.A, 1) == 1 or dim(shapes.B, 0) == 1) and dim(shapes.Y, 1) == max(dim(shapes.A, 1), dim(shapes.B, 0)))) or (ranks.A == 4 and ranks.B == 2 and ranks.Y == 4 and sameShape(prefix(shapes.Y, 2), prefix(shapes.A, 2))))", "dim(shapes.A, ranks.A - 1) == dim(shapes.B, ranks.B - 2)", "dim(shapes.A, ranks.A - 2) >= tunables.SUBGROUP_MATRIX_MIN_M", "dim(shapes.A, ranks.A - 1) >= 32", "dim(shapes.B, ranks.B - 1) >= 64", "dim(shapes.Y, ranks.Y - 2) == dim(shapes.A, ranks.A - 2)", "dim(shapes.Y, ranks.Y - 1) == dim(shapes.B, ranks.B - 1)", "ceil(dim(shapes.B, ranks.B - 1) / 64) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceil(dim(shapes.A, ranks.A - 2) / 32) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "numel(shapes.Y) / (dim(shapes.A, ranks.A - 2) * dim(shapes.B, ranks.B - 1)) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "wave32Effective"],
"requires": {
"features": ["subgroups", "chromium-experimental-subgroup-matrix"],
"subgroupMatrixConfigs": [{ "componentType": "f16", "M": 8, "N": 8, "K": 8 }]
},
"derive": {
"hasBias": false,
"fScalar": "\"f16\"",
"outScalar": "\"f16\"",
"generalAddressing": true,
"tailSafe": "dim(shapes.A, ranks.A - 1) % 32 != 0 or dim(shapes.B, ranks.B - 1) % 64 != 0",
"outputBuffer": "\"y\"",
"rowCount": "outer(shapes.A, ranks.A - 1) if ranks.B == 2 else dim(shapes.A, ranks.A - 2)",
"K": "dim(shapes.A, ranks.A - 1)",
"N": "dim(shapes.B, ranks.B - 1)",
"batchCount": "numel(shapes.Y) / (dim(shapes.A, ranks.A - 2) * dim(shapes.B, ranks.B - 1)) if ranks.B > 2 else 1"
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.SubgroupMatrixTailBroadcast",
"shader": "matmul-subgroup-matrix-ext.wgsl.jinja",
"derive": {
"aBatchShape": "prefix(shapes.A, ranks.A - 2) if ranks.B > 2 else []",
"aRank": "ranks.A if ranks.B > 2 else 2",
"bShape": "shapes.B"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": { "x": "ceil(N / 64)", "y": "ceil(rowCount / 32)", "z": "batchCount" }
}
]
},
{
"id": "subgroup_matrix",
"priority": 10,
"when": ["f16Ok(dtypes.T)", "ranks.A >= 2", "ranks.B == ranks.A", "ranks.Y == ranks.A", "(dim(shapes.A, ranks.A - 2) if attrs.transA != 0 else dim(shapes.A, ranks.A - 1)) == (dim(shapes.B, ranks.B - 1) if attrs.transB != 0 else dim(shapes.B, ranks.B - 2))", "(dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2)) >= tunables.SUBGROUP_MATRIX_MIN_M", "(dim(shapes.A, ranks.A - 2) if attrs.transA != 0 else dim(shapes.A, ranks.A - 1)) % 32 == 0", "(dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1)) % 64 == 0", "(ranks.A == 2 or (ranks.A == 3 and dim(shapes.A, 0) == dim(shapes.B, 0) and dim(shapes.Y, 0) == dim(shapes.B, 0)) or (ranks.A == 4 and dim(shapes.A, 0) == dim(shapes.B, 0) and dim(shapes.A, 1) == dim(shapes.B, 1) and dim(shapes.Y, 0) == dim(shapes.A, 0) and dim(shapes.Y, 1) == dim(shapes.A, 1)))", "dim(shapes.Y, ranks.Y - 2) == (dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))", "dim(shapes.Y, ranks.Y - 1) == (dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1))", "ceil((dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1)) / 64) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceil((dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2)) / 32) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "numel(shapes.Y) / ((dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2)) * (dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1))) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "wave32Effective"],
"requires": {
"features": ["subgroups", "chromium-experimental-subgroup-matrix"],
"subgroupMatrixConfigs": [
{ "componentType": "f16", "M": 8, "N": 8, "K": 8 },
{ "componentType": "f32", "resultComponentType": "f32", "M": 8, "N": 8, "K": 8 }
]
},
"derive": {
"outScalar": "\"f16\" if dtypes.T == \"f16\" else \"f32\"",
"transA": "attrs.transA != 0",
"transB": "attrs.transB != 0",
"transBatchA": "false",
"rowCount": "(dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))",
"K": "(dim(shapes.A, ranks.A - 2) if attrs.transA != 0 else dim(shapes.A, ranks.A - 1))",
"N": "(dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1))",
"batchCount": "numel(shapes.Y) / ((dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2)) * (dim(shapes.B, ranks.B - 2) if attrs.transB != 0 else dim(shapes.B, ranks.B - 1)))"
},
"passes": [
{
"id": "main",
"name": "TransposeMatMul.SubgroupMatrix",
"shader": "fused-matmul-subgroup-matrix.wgsl.jinja",
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": { "x": "ceil(N / 64)", "y": "ceil(rowCount / 32)", "z": "numel(shapes.Y) / (rowCount * N)" }
}
]
},
{
"id": "broadcast_rank4_tiled_reg",
"priority": 6,
"when": ["f16Ok(dtypes.T)", "attrs.transA == 0", "attrs.transB == 0", "ranks.A == 4", "(ranks.B == 2 or ranks.B == 3)", "ranks.Y == 4", "dim(shapes.Y, 0) == dim(shapes.A, 0)", "(ranks.B == 2 or dim(shapes.A, 1) == dim(shapes.B, 0) or dim(shapes.A, 1) == 1 or dim(shapes.B, 0) == 1)", "dim(shapes.Y, 1) == (dim(shapes.A, 1) if ranks.B == 2 else max(dim(shapes.A, 1), dim(shapes.B, 0)))", "dim(shapes.A, 3) == dim(shapes.B, ranks.B - 2)", "dim(shapes.Y, 2) == dim(shapes.A, 2)", "dim(shapes.Y, 3) == dim(shapes.B, ranks.B - 1)", "dim(shapes.A, 2) >= 64", "dim(shapes.A, 3) >= 32", "dim(shapes.B, ranks.B - 1) >= 64", "ceil(dim(shapes.B, ranks.B - 1) / registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceil(dim(shapes.A, 2) / registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "numel(shapes.Y) / (dim(shapes.A, 2) * dim(shapes.B, ranks.B - 1)) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"passes": [
{
"id": "main",
"name": "TransposeMatMul.BroadcastRank4TiledReg",
"shader": "matmul-tiled-general-reg.wgsl.jinja",
"derive": {
"aBatchShape": "prefix(shapes.A, ranks.A - 2) if ranks.B > 2 else []",
"aRank": "ranks.A if ranks.B > 2 else 2",
"K": "dim(shapes.A, ranks.A - 1)",
"bShape": "shapes.B",
"transBatchA": "false"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": {
"x": "ceil(dim(shapes.B, ranks.B - 1) / registerTile)",
"y": "ceil(rowCount / registerTile)",
"z": "batchCount"
}
}
],
"derive": {
"rowCount": "outer(shapes.A, 3) if ranks.B == 2 else dim(shapes.A, 2)",
"batchCount": "numel(shapes.Y) / (dim(shapes.A, 2) * dim(shapes.B, ranks.B - 1)) if ranks.B > 2 else 1"
}
},
{
"id": "plain_rank2_tiled_reg",
"priority": 4,
"demoteWhen": ["plainRank2RegDeepPreferredTier"],
"when": ["f16Ok(dtypes.T)", "fusedSgmatRank2Ok", "dim(shapes.A, 0) >= 64", "dim(shapes.A, 1) >= 32", "dim(shapes.B, 1) >= 64", "ceil(dim(shapes.A, 0) / registerTile) * ceil(dim(shapes.B, 1) / registerTile) >= tunables.TILED_REG_MIN_WORKGROUPS", "ceil(dim(shapes.B, 1) / registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceil(dim(shapes.A, 0) / registerTile) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"passes": [
{
"id": "main",
"name": "TransposeMatMul.PlainRank2TiledReg",
"shader": "matmul-tiled-general-reg.wgsl.jinja",
"derive": {
"rowCount": "dim(shapes.A, 0)",
"K": "dim(shapes.A, 1)",
"bShape": "shapes.B",
"transBatchA": "false"
},
"bindings": ["a", "b_scalar", "y", "params_rows"],
"dispatch": {
"x": "ceil(dim(shapes.B, 1) / registerTile)",
"y": "ceil(dim(shapes.A, 0) / registerTile)",
"z": 1
}
}
]
},
{
"id": "tiled",
"priority": 0,
"when": ["ranks.A >= 1", "ranks.B >= 1", "f16Ok(dtypes.T)", "(dim(shapes.A, 0) if ranks.A == 1 else (dim(shapes.A, ranks.A - 1) if attrs.transA == 0 else dim(shapes.A, ranks.A - 2))) == (dim(shapes.B, 0) if ranks.B == 1 else (dim(shapes.B, ranks.B - 1) if attrs.transB != 0 else dim(shapes.B, ranks.B - 2)))", "ceil((1 if ranks.A == 1 else (dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))) / 16) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "ceil((1 if ranks.B == 1 else (dim(shapes.B, ranks.B - 1) if attrs.transB == 0 else dim(shapes.B, ranks.B - 2))) / 16) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)", "numel(shapes.Y) / max(1, (1 if ranks.A == 1 else (dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))) * (1 if ranks.B == 1 else (dim(shapes.B, ranks.B - 1) if attrs.transB == 0 else dim(shapes.B, ranks.B - 2)))) <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535)"],
"passes": [
{
"id": "main",
"name": "TransposeMatMul.Tiled",
"shader": "matmul-tiled-general.wgsl.jinja",
"derive": {
"aShape": "shapes.A",
"bShape": "shapes.B",
"transA": "attrs.transA != 0",
"transB": "attrs.transB != 0",
"transBatchA": "false",
"transBatchB": "false"
},
"bindings": ["a", "b_scalar", "y"],
"dispatch": {
"x": "ceil((1 if ranks.B == 1 else (dim(shapes.B, ranks.B - 1) if attrs.transB == 0 else dim(shapes.B, ranks.B - 2))) / generalTile)",
"y": "ceil((1 if ranks.A == 1 else (dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))) / generalTile)",
"z": "numel(shapes.Y) / max(1, (1 if ranks.A == 1 else (dim(shapes.A, ranks.A - 1) if attrs.transA != 0 else dim(shapes.A, ranks.A - 2))) * (1 if ranks.B == 1 else (dim(shapes.B, ranks.B - 1) if attrs.transB == 0 else dim(shapes.B, ranks.B - 2))))"
}
}
]
}
]
}
|