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"domain": "com.microsoft",
"name": "GroupNorm",
"sinceVersion": 1,
"inputs": {
"X": { "dtype": "T", "rank": 4 },
"gamma": { "dtype": "M", "rank": 1 },
"beta": { "dtype": "M", "rank": 1 }
},
"outputs": { "Y": { "dtype": "T", "rank": 4, "shape": "shapes.X" } },
"attributes": { "activation": {}, "groups": {}, "channels_last": { "default": 1 }, "epsilon": { "default": 0.00001 } },
"attributeConstraints": { "activation": { "required": true, "values": [0, 1] }, "groups": { "required": true } },
"typeConstraints": { "T": ["float32", "float16"], "M": ["float32", "float16"] },
"tunables": {
"WORKGROUP_SIZE": { "default": 256 },
"MAX_SPLITS": { "default": 256 },
"VALUES_PER_SPLIT": { "default": 4096 },
"SPLIT_MIN_ELEMENTS": { "default": 262144 },
"APPLY_SLAB_ELEMENTS": { "default": 8192 },
"FUSED_MIN_ROWS": { "default": 64 },
"FUSED_MAX_GROUP_BYTES": { "default": 131072 }
},
"derive": {
"attrsPresent": "has(attrs, \"groups\") and has(attrs, \"activation\")",
"numGroups": "attrs.groups if attrsPresent else 0",
"activationKind": "attrs.activation if attrsPresent else 0",
"channelsLast": "attrs.channels_last != 0",
"rankOk": "ranks.X == 4 and ranks.Y == 4 and ranks.gamma == 1 and ranks.beta == 1",
"dimN": "dim(shapes.X, 0) if rankOk else 0",
"dimC": "(dim(shapes.X, 3) if channelsLast else dim(shapes.X, 1)) if rankOk else 0",
"dimHW": "(dim(shapes.X, 1) * dim(shapes.X, 2) if channelsLast else dim(shapes.X, 2) * dim(shapes.X, 3)) if rankOk else 0",
"groupsOk": "numGroups >= 1 and dimC >= 1 and dimC % numGroups == 0",
"channelsPerGroup": "dimC / numGroups if groupsOk else 0",
"planeCount": "dimN * dimC",
"groupSize": "channelsPerGroup * dimHW",
"normRows": "dimN * numGroups",
"elementCount": "numel(shapes.X) if rankOk else 0",
"shapeOk": "rankOk and groupsOk and dimN > 0 and dimHW > 0 and groupSize > 0 and sameShape(shapes.Y, shapes.X) and dim(shapes.gamma, 0) == dimC and dim(shapes.beta, 0) == dimC",
"deviceWorkgroupCap": "min(device.limits.maxComputeInvocationsPerWorkgroup, device.limits.maxComputeWorkgroupSizeX)",
"storageBufferLimit": "min(device.limits.maxStorageBufferBindingSize, device.limits.maxBufferSize)",
"foldedDispatchCapacity": "min(device.limits.maxComputeWorkgroupsPerDimension, 65535) * min(device.limits.maxComputeWorkgroupsPerDimension, 65535)",
"statsVec4Ok": "(channelsPerGroup % 4 == 0 and dimC % 4 == 0) if channelsLast else (dimHW % 4 == 0)",
"applyVec4Ok": "(dimC % 4 == 0) if channelsLast else (dimHW % 4 == 0)",
"fusedVecWidth": "4 if statsVec4Ok else 1",
"statsVecWidth": "4 if statsVec4Ok else (2 if channelsLast and channelsPerGroup % 2 == 0 else 1)",
"applyVecWidth": "4 if applyVec4Ok else 1",
"workgroupCap": "max(1, floor(pow2ceil(min(tunables.WORKGROUP_SIZE, deviceWorkgroupCap) + 1) / 2))",
"statsChunks": "max(1, floor(dimC / statsVecWidth))",
"fusedRowChunks": "max(1, floor(dimC / fusedVecWidth))",
"statsSegment": "max(1, floor(channelsPerGroup / statsVecWidth))",
"statsGroupsPerBlock": "max(1, min(numGroups, floor(workgroupCap / statsSegment))) if channelsLast and statsChunks > deviceWorkgroupCap and statsSegment <= workgroupCap else max(1, numGroups)",
"statsGroupBlocks": "ceilDiv(max(1, numGroups), statsGroupsPerBlock)",
"statsTileChunks": "statsGroupsPerBlock * statsSegment if statsGroupBlocks > 1 else statsChunks",
"applyChunks": "max(1, floor(dimC / applyVecWidth))",
"statsRowsPerStep": "max(1, floor(workgroupCap / statsTileChunks))",
"applyRowsPerStep": "max(1, floor(workgroupCap / applyChunks))",
"planeVecs": "max(1, floor(dimHW / statsVecWidth))",
"slabCount": "ceilDiv(dimHW, ceilDiv(dimHW, max(1, min(tunables.MAX_SPLITS, dimHW, ceilDiv(dimHW * dimC, tunables.VALUES_PER_SPLIT)))))",
"planeSplits": "max(1, min(tunables.MAX_SPLITS, planeVecs, ceilDiv(dimHW, tunables.VALUES_PER_SPLIT)))",
"splitCount": "slabCount if channelsLast else planeSplits",
"partialsPerRow": "slabCount if channelsLast else max(1, channelsPerGroup) * planeSplits",
"partialElements": "max(1, normRows * partialsPerRow)",
"statsElements": "max(1, normRows)",
"statsWorkgroup": "(statsTileChunks * statsRowsPerStep) if channelsLast else min(workgroupCap, max(32, pow2ceil(ceilDiv(planeVecs, planeSplits))))",
"applyWorkgroup": "(applyChunks * applyRowsPerStep) if channelsLast else statsWorkgroup",
"applySlabCount": "ceilDiv(dimHW, ceilDiv(dimHW, max(1, min(dimHW, min(device.limits.maxComputeWorkgroupsPerDimension, 65535), ceilDiv(elementCount, tunables.APPLY_SLAB_ELEMENTS)))))",
"applySplit": "applySlabCount if channelsLast else planeSplits",
"applyUnits": "(dimN * applySlabCount) if channelsLast else (planeCount * planeSplits)",
"workUnits": "(dimN * slabCount * statsGroupBlocks) if channelsLast else (planeCount * planeSplits)",
"splitFits": "statsWorkgroup <= deviceWorkgroupCap and applyWorkgroup <= deviceWorkgroupCap and statsWorkgroup * 8 <= device.limits.maxComputeWorkgroupStorageSize and partialElements * 8 <= storageBufferLimit and workUnits > 0 and workUnits <= foldedDispatchCapacity and applyUnits <= foldedDispatchCapacity",
"fusedChunks": "max(1, floor(channelsPerGroup / fusedVecWidth)) if channelsLast else 1",
"fusedWorkgroup": "(fusedChunks * max(1, floor(workgroupCap / fusedChunks))) if channelsLast else min(workgroupCap, max(32, pow2ceil(max(1, floor(groupSize / fusedVecWidth)))))",
"fusedLanes": "pow2ceil(fusedWorkgroup)",
"fusedFits": "fusedWorkgroup <= deviceWorkgroupCap and fusedLanes * 8 <= device.limits.maxComputeWorkgroupStorageSize and normRows <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535) * min(device.limits.maxComputeWorkgroupsPerDimension, 65535)",
"combineWorkgroup": "min(workgroupCap, 64)",
"statsElement": "(\"vec\" ~ statsVecWidth ~ \"<\" ~ dtypes.T ~ \">\") if statsVecWidth > 1 else dtypes.T",
"fusedElement": "(\"vec4<\" ~ dtypes.T ~ \">\") if statsVec4Ok else dtypes.T",
"applyElement": "(\"vec4<\" ~ dtypes.T ~ \">\") if applyVec4Ok else dtypes.T",
"mScalar": "dtypes.M",
"tScalar": "dtypes.T",
"contractOk": "shapeOk and f16Ok(dtypes.T) and f16Ok(dtypes.M)"
},
"when": ["contractOk"],
"bindings": {
"xIn": { "arg": "X", "name": "X", "elementType": "$statsElement" },
"srcX": { "arg": "X", "name": "src", "elementType": "$statsElement" },
"gamma": { "elementType": "$mScalar" },
"beta": { "elementType": "$mScalar" },
"yOut": { "arg": "Y", "name": "Y", "elementType": "$applyElement" },
"partialsW": { "name": "partials", "buffer": "storage", "elementType": "vec2<f32>" },
"partialsR": { "name": "partials", "buffer": "read-only-storage", "elementType": "vec2<f32>" },
"statsW": { "name": "stats", "buffer": "storage", "elementType": "vec2<f32>" },
"statsR": { "name": "stats", "buffer": "read-only-storage", "elementType": "vec2<f32>" },
"srcApply": { "arg": "X", "name": "src", "elementType": "$applyElement" },
"yFused": { "arg": "Y", "name": "Y", "elementType": "$statsElement" }
},
"variants": [
{
"id": "split",
"priority": 20,
"when": ["splitFits"],
"demoteWhen": ["elementCount < tunables.SPLIT_MIN_ELEMENTS * statsGroupBlocks", "(not channelsLast) and normRows >= tunables.FUSED_MIN_ROWS and groupSize * dtypeBytes(tensorDtypes.X) <= tunables.FUSED_MAX_GROUP_BYTES"],
"derive": {
"phaseLayout": "channelsLast",
"hasSkip": "false",
"hasBias": "false",
"broadcastSkip": "false",
"vecSpec": "statsVecWidth",
"dimCSpec": "dimC",
"dimHWSpec": "dimHW",
"cpgSpec": "channelsPerGroup",
"groupsSpec": "numGroups",
"groupSizeSpec": "groupSize",
"normRowsSpec": "normRows",
"epsilonSpec": "attrs.epsilon",
"activationSpec": "activationKind",
"chunksSpec": "statsChunks",
"rowsPerStepSpec": "statsRowsPerStep",
"splitSpec": "splitCount",
"rowsPerSlabSpec": "ceilDiv(dimHW, slabCount)",
"planeVecsSpec": "planeVecs",
"chunkVecsSpec": "ceilDiv(planeVecs, planeSplits)",
"partialsPerRowSpec": "partialsPerRow",
"wgSpec": "statsWorkgroup",
"combineWgSpec": "combineWorkgroup",
"vecF32": "(\"vec\" ~ statsVecWidth ~ \"<f32>\") if statsVecWidth > 1 else \"f32\"",
"storeElement": "statsElement",
"applySrc": "\"src\"",
"groupUniform": "true"
},
"intermediates": [
{ "id": "partials", "dtype": "float32", "shape": "[partialElements, 2]" },
{ "id": "stats", "dtype": "float32", "shape": "[statsElements, 2]" }
],
"passes": [
{
"id": "stats",
"name": "GroupNorm.Partials",
"shader": "group-norm-slab.wgsl.jinja",
"derive": {
"phase": "\"stats\"",
"unitsSpec": "workUnits",
"statsBlockedSpec": "channelsLast and statsGroupBlocks > 1",
"statsGroupsPerBlockSpec": "statsGroupsPerBlock",
"statsGroupBlocksSpec": "statsGroupBlocks",
"statsTileChunksSpec": "statsTileChunks"
},
"bindings": ["xIn", "partialsW"],
"dispatch": { "x": "min(workUnits, 65535)", "y": "ceilDiv(workUnits, 65535)", "z": 1 }
},
{
"id": "combine",
"name": "GroupNorm.Combine",
"shader": "group-norm-combine.wgsl.jinja",
"bindings": ["srcX", "partialsR", "statsW"],
"dispatch": {
"x": "min(ceilDiv((normRows), (combineWorkgroup)), 65535)",
"y": "ceilDiv(ceilDiv((normRows), (combineWorkgroup)), 65535)",
"z": 1
}
},
{
"id": "apply",
"name": "GroupNorm.Apply",
"shader": "group-norm-slab.wgsl.jinja",
"derive": {
"phase": "\"apply\"",
"vecSpec": "applyVecWidth",
"chunksSpec": "applyChunks",
"rowsPerStepSpec": "applyRowsPerStep",
"wgSpec": "applyWorkgroup",
"splitSpec": "applySplit",
"rowsPerSlabSpec": "ceilDiv(dimHW, applySlabCount)",
"groupUniform": "(channelsPerGroup % applyVecWidth == 0) if channelsLast else true",
"storeElement": "applyElement",
"vecF32": "\"vec4<f32>\" if applyVec4Ok else \"f32\"",
"unitsSpec": "applyUnits"
},
"bindings": ["srcApply", "gamma", "beta", "statsR", "yOut"],
"dispatch": { "x": "min(applyUnits, 65535)", "y": "ceilDiv(applyUnits, 65535)", "z": 1 }
}
]
},
{
"id": "fused",
"priority": 10,
"when": ["fusedFits"],
"derive": {
"statsElement": "fusedElement",
"phaseLayout": "channelsLast",
"hasSkip": "false",
"hasBias": "false",
"broadcastSkip": "false",
"useVec4": "statsVec4Ok",
"vecSpec": "fusedVecWidth",
"dimCSpec": "dimC",
"dimHWSpec": "dimHW",
"cpgSpec": "channelsPerGroup",
"groupsSpec": "numGroups",
"groupSizeSpec": "groupSize",
"normRowsSpec": "normRows",
"epsilonSpec": "attrs.epsilon",
"activationSpec": "activationKind",
"chunksSpec": "fusedRowChunks",
"fusedChunksSpec": "fusedChunks",
"fusedRowsSpec": "max(1, floor(fusedWorkgroup / fusedChunks))",
"spanVecsSpec": "max(1, floor(groupSize / fusedVecWidth))",
"wgSpec": "fusedWorkgroup",
"ldsSpec": "fusedLanes",
"vecF32": "\"vec4<f32>\" if statsVec4Ok else \"f32\"",
"storeElement": "fusedElement",
"fusedSrc": "\"X\"",
"planeVecsSpec": "planeVecs"
},
"passes": [
{
"id": "main",
"name": "GroupNorm.Fused",
"shader": "group-norm-fused.wgsl.jinja",
"bindings": ["xIn", "gamma", "beta", "yFused"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 }
}
]
}
]
}
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