File size: 47,229 Bytes
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{
  "op": "ai.onnx.Softmax",
  "fixtureArrays": {
    "ort_seed_123_input_x": [1.0856307, 0.99734545, 0.2829785, 1.5062947, 0.5786002, 1.6514366, 2.4266791, 0.42891264, 1.2659363, 0.8667404, 0.6788862, 0.09470897, 1.4913896, 0.638902, 0.44398195, 0.43435127, 2.20593, 2.1867862, 1.004054, 0.3861864, 0.7373686, 1.4907321, 0.9358339, 1.175829, 1.2538806, 0.6377515, 0.9071052, 1.4286807, 0.14006872, 0.8617549, 0.25561938, 2.798589, 1.7715331, 0.69987726, 0.92746246, 0.17363568, 0.002845916, 0.6882227, 0.87953633, 0.28362733, 0.8053665, 1.7276695, 0.3908998, 0.57380587, 0.33858904, 0.011830495, 2.3923652, 0.41291216, 0.978736, 2.2381434, 1.2940853, 1.0387882, 1.7437122, 0.79806274, 0.02968323, 1.0693159, 0.8907064, 1.7548862, 1.4956441, 1.0693927],
    "onnx_backend_softmax_input_x": [1.764052391052246, 0.40015721321105957, 0.978738009929657, 2.2408931255340576, 1.8675580024719238, 0.9772778749465942, 0.9500884413719177, 0.15135720372200012, 0.10321885347366333, 0.4105985164642334, 0.14404356479644775, 1.4542734622955322, 0.7610377073287964, 0.12167501449584961, 0.44386324286460876, 0.3336743414402008, 1.4940791130065918, 0.2051582634449005, 0.3130677044391632, 0.8540957570075989, 2.5529897212982178, 0.653618574142456, 0.8644362092018127, 0.7421650290489197, 2.269754648208618, 1.4543657302856445, 0.04575851559638977, 0.18718385696411133, 1.5327792167663574, 1.4693588018417358, 0.154947429895401, 0.37816253304481506, 0.8877857327461243, 1.980796456336975, 0.34791216254234314, 0.15634897351264954, 1.2302906513214111, 1.202379822731018, 0.38732680678367615, 0.302302747964859, 1.0485529899597168, 1.420017957687378, 1.7062702178955078, 1.950775384902954, 0.5096521973609924, 0.4380742907524109, 1.2527953386306763, 0.7774903774261475, 1.6138978004455566, 0.21274028718471527, 0.8954665660858154, 0.38690251111984253, 0.5108051300048828, 1.18063223361969, 0.02818222902715206, 0.4283318817615509, 0.06651721894741058, 0.30247190594673157, 0.6343221068382263, 0.3627411723136902]
  },
  "cases": [
    {
      "name": "dispatch_cliff_online_2dfold_65540x40",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [65540, 40],
          "data": { "kind": "fillFloat32", "sinStep": 0.011, "cosStep": 0.007, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [65540, 40], "tolerance": 0.0001, "relTolerance": 0.0001 } }
    },
    {
      "name": "dispatch_cliff_stable_3pass_257x65535",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [257, 65535],
          "data": { "kind": "fillFloat32", "sinStep": 0.011, "cosStep": 0.007, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [257, 65535], "tolerance": 0.0001, "relTolerance": 0.0001 } }
    },
    {
      "name": "axis1_3x5",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 5],
          "data": { "kind": "fillFloat32", "sinStep": 0.23, "cosStep": 0.17 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3, 5], "tolerance": 0.000001 } }
    },
    {
      "name": "ort_simple_axis1",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.Simple"
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": { "dtype": "float32", "shape": [1, 3], "data": { "kind": "values", "values": [-1.0, 0.0, 1.0] } }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 3], "tolerance": 0.000001 } }
    },
    {
      "name": "ort_large_number_axis1",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.LargeNumber"
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 4],
          "data": { "kind": "values", "values": [0.0, 1.0, 2.0, 3.0, 10000.0, 10001.0, 10002.0, 10003.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 4], "tolerance": 0.000001 } }
    },
    {
      "name": "f32_large_gap_subnormal_tail_gpu_gap",
      "skipGpu": {
        "category": "permanent",
        "reason": "Portable WGSL floating-point semantics do not guarantee preservation of the subnormal values required by this fixture. Backend evidence: WebGPU/Metal flushes subnormals to zero in f32; bit-exact subnormal preservation is unattainable on GPU."
      },
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.LargeNumber",
        "notes": "An 87.5-point logit gap leaves a valid positive subnormal probability tail in ORT CPU; stable softmax should not flush it to zero."
      },
      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float32", "shape": [1, 2], "data": { "kind": "values", "values": [0.0, -87.5] } } },
      "outputs": {
        "y": {
          "dtype": "float32",
          "shape": [1, 2],
          "tolerance": 2e-45,
          "data": { "kind": "values", "values": [1.0, 9.982351397596697e-39] }
        }
      }
    },
    {
      "name": "max_negative_padding_regression",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 5],
          "data": {
            "kind": "values",
            "values": [-3.4028234663852886e+38, -3.4028234663852886e+38, -3.4028234663852886e+38, -3.4028234663852886e+38, -3.4028234663852886e+38, -1000.0, -1001.0, -1002.0, -1003.0, -1004.0]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 5], "tolerance": 0.000001 } }
    },
    {
      "name": "large_positive_stability",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 4],
          "data": { "kind": "values", "values": [1000.0, 1001.0, 999.0, -1000.0, 80.0, 80.0, 79.0, 78.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 4], "tolerance": 0.000001 } }
    },
    {
      "name": "all_negative_infinity_returns_nan",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.webgpu_nan"
      },
      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float32", "shape": [2, 4], "data": { "kind": "negativeInfinity" } } },
      "outputs": {
        "y": {
          "dtype": "float32",
          "shape": [2, 4],
          "tolerance": 0,
          "allowNaN": true,
          "data": { "kind": "values", "values": ["NaN", "NaN", "NaN", "NaN", "NaN", "NaN", "NaN", "NaN"] }
        }
      }
    },
    {
      "name": "f16_all_negative_infinity_returns_nan",
      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float16", "shape": [1, 4], "data": { "kind": "negativeInfinity" } } },
      "outputs": {
        "y": {
          "dtype": "float16",
          "shape": [1, 4],
          "tolerance": 0,
          "allowNaN": true,
          "data": { "kind": "values", "values": ["NaN", "NaN", "NaN", "NaN"] }
        }
      }
    },
    {
      "name": "positive_infinity_rows_return_nan",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 4],
          "data": { "kind": "values", "values": ["Infinity", 1.0, 2.0, -3.0, "Infinity", "Infinity", 5.0, 5.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 4], "tolerance": 0.000001, "allowNaN": true } }
    },
    {
      "name": "singleton_axis_mixed_finite_nonfinite",
      "attrs": { "axis": 0 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [1, 4],
          "data": { "kind": "values", "values": [0.25, "Infinity", "-Infinity", "NaN"] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 4], "tolerance": 0, "allowNaN": true } }
    },
    {
      "name": "axis1_2x64_cross_subgroup",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 64],
          "data": { "kind": "fillFloat32", "sinStep": 0.19, "cosStep": 0.07, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 64], "tolerance": 0.000001 } }
    },
    {
      "name": "longrow_split_axis1_1x65536",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [1, 65536],
          "data": { "kind": "fillFloat32", "sinStep": 0.017, "cosStep": 0.031, "scale": 3.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 65536], "tolerance": 0.00001, "relTolerance": 0.00001 } }
    },
    {
      "name": "longrow_split_all_negative_infinity",
      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float32", "shape": [1, 65536], "data": { "kind": "negativeInfinity" } } },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 65536], "tolerance": 0, "allowNaN": true } }
    },
    {
      "name": "ort_dim_with_zero_axis0",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.DimWithZero",
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      "inputs": { "x": { "dtype": "float32", "shape": [1, 0], "data": { "kind": "values", "values": [] } } },
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      "outputs": { "y": { "dtype": "float32", "shape": [2, 3, 4], "tolerance": 0.000001 } }
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      "name": "ort_opset13_rank3_axis2_seed123",
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          "shape": [3, 4, 5],
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      "inputs": {
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          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/ort_seed_123_input_x" } }
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      "name": "ort_opset13_rank4_default_axis_seed123",
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      "outputs": { "y": { "dtype": "float32", "shape": [1, 3, 4, 5], "tolerance": 0.000001 } }
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      "name": "ort_negative_axis_rank3_last_seed123",
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      "inputs": {
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          "shape": [3, 4, 5],
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      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.000001 } }
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    {
      "name": "ort_negative_axis_rank4_last_seed123",
      "provenance": {
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      "inputs": {
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          "shape": [1, 3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/ort_seed_123_input_x" } }
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      "outputs": { "y": { "dtype": "float32", "shape": [1, 3, 4, 5], "tolerance": 0.000001 } }
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          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 1025], "tolerance": 0.000001 } }
    },
    {
      "name": "ort_gh15949_rank4_axis1_singleton_spatial",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/softmax_test.cc",
        "test": "SoftmaxOperator.GH15949_regression_test"
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      "attrs": { "axis": 1 },
      "inputs": {
        "x": { "dtype": "float32", "shape": [1, 3, 1, 1], "data": { "kind": "values", "values": [1.5, 5.5, 9.5] } }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 3, 1, 1], "tolerance": 0.000001 } }
    },
    {
      "name": "onnx_backend_softmax_axis_0",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_axis_0" },
      "attrs": { "axis": 0 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/onnx_backend_softmax_input_x" } }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001 } }
    },
    {
      "name": "onnx_backend_softmax_axis_1",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_axis_1" },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/onnx_backend_softmax_input_x" } }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001 } }
    },
    {
      "name": "onnx_backend_softmax_axis_2",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_axis_2" },
      "attrs": { "axis": 2 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/onnx_backend_softmax_input_x" } }
        }
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      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001 } }
    },
    {
      "name": "onnx_backend_softmax_default_axis",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_default_axis" },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/onnx_backend_softmax_input_x" } }
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      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001 } }
    },
    {
      "name": "onnx_backend_softmax_example",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_example" },
      "inputs": {
        "x": { "dtype": "float32", "shape": [1, 3], "data": { "kind": "values", "values": [-1.0, 0.0, 1.0] } }
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      "outputs": { "y": { "dtype": "float32", "shape": [1, 3], "tolerance": 0.00001 } }
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      "name": "onnx_backend_softmax_large_number",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_large_number" },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 4],
          "data": { "kind": "values", "values": [0.0, 1.0, 2.0, 3.0, 10000.0, 10001.0, 10002.0, 10003.0] }
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      "outputs": { "y": { "dtype": "float32", "shape": [2, 4], "tolerance": 0.00001 } }
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      "name": "onnx_backend_softmax_negative_axis",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_softmax_negative_axis" },
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      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": { "kind": "values", "values": { "$ref": "#/fixtureArrays/onnx_backend_softmax_input_x" } }
        }
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      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001 } }
    },
    {
      "name": "online_wg_vec4_2x1024",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 1024],
          "data": { "kind": "fillFloat32", "sinStep": 0.19, "cosStep": 0.07, "scale": 2.0 }
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      "outputs": { "y": { "dtype": "float32", "shape": [2, 1024], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_scalar_odd_2x1023",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 1023],
          "data": { "kind": "fillFloat32", "sinStep": 0.23, "cosStep": 0.11, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 1023], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_vec4_long_row_1x32768",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [1, 32768],
          "data": { "kind": "fillFloat32", "sinStep": 0.013, "cosStep": 0.029, "scale": 4.0 }
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      "outputs": { "y": { "dtype": "float32", "shape": [1, 32768], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_batch_4096x64",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [4096, 64],
          "data": { "kind": "fillFloat32", "sinStep": 0.13, "cosStep": 0.29, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [4096, 64], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_all_negative_infinity_2x64",
      "attrs": { "axis": -1 },
      "inputs": { "x": { "dtype": "float32", "shape": [2, 64], "data": { "kind": "negativeInfinity" } } },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 64], "tolerance": 0, "allowNaN": true } }
    },
    {
      "name": "online_wg_neg_inf_padding_mixed_2x40",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 40],
          "data": { "kind": "cycle", "values": ["-Infinity", 0.5, 1.25, "-Infinity", -2.5] }
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      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 40], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_positive_infinity_row_1x36",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [1, 36],
          "data": { "kind": "cycle", "values": ["Infinity", 1.0, 2.0, -3.0, 0.5, -0.25] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 36], "tolerance": 0.000001, "allowNaN": true } }
    },
    {
      "name": "online_wg_f16_2x128",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [2, 128],
          "data": { "kind": "fillFloat32", "sinStep": 0.21, "cosStep": 0.09, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 128], "tolerance": 0.002 } }
    },
    {
      "name": "dispatch_cliff_rows_65537",
      "provenance": {
        "notes": "65537 softmax rows > 65535 forces the folded row dispatch (x=65535, y=2) in the reduce_max/exp_sum/online_1pass passes. Validates the row = wg.x + wg.y*nwg.x reconstruction AND the new over-dispatch `row >= params.rows` guard (without the guard the clamped OOB rowMax/rowSum store corrupts row 65536 — the exact bug that reverted the first attempt). Before the 2D fold the plan-time dispatch-limit guard throws."
      },
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [65537, 4],
          "data": { "kind": "cycle", "values": [0.1, 0.5, 0.9, 0.3, 0.7] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [65537, 4], "tolerance": 0.0001 } }
    },
    {
      "name": "dispatch_cliff_strided_rows_140000",
      "provenance": {
        "notes": "Non-last (strided) axis softmax over 140000 outer rows (>65535) forces the folded one-workgroup-per-row dispatch (x=65535, y=3) in the strided_3pass reduce_max/exp_sum passes. Validates the wg.x + wg.y*nwg.x reconstruction guarded by the compile-time STRIDED_ROWS const (product of non-axis dims). Before the 2D fold the plan-time dispatch-limit guard throws."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [70000, 4, 2],
          "data": { "kind": "cycle", "values": [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [70000, 4, 2], "tolerance": 0.0001 } }
    },
    {
      "name": "rank7_last_axis",
      "provenance": {
        "notes": "Exercises Softmax over the last axis of a rank-7 tensor, with expectations from both ORT CPU and the TypeScript reference."
      },
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 1, 1, 1, 1, 1, 3],
          "data": { "kind": "values", "values": [1.0, 2.0, 3.0, -1.0, 0.0, 1.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 1, 1, 1, 1, 1, 3], "tolerance": 0.000001 } }
    },
    {
      "name": "rank7_axis1_strided",
      "provenance": {
        "notes": "Exercises strided Softmax over axis 1 of a rank-7 tensor, with expectations from ORT CPU."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 3, 1, 1, 1, 1, 1],
          "data": { "kind": "values", "values": [1.0, 2.0, 3.0, -1.0, 0.0, 1.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 3, 1, 1, 1, 1, 1], "tolerance": 0.000001 } }
    },
    {
      "name": "online_wg_vec4_f16_2x8192",
      "provenance": {
        "notes": "f16 coverage for the online_wg_vec4 path: last-axis cols=8192 (%4==0, >=4096), rows=2 (<=65535) selects online_wg_vec4 with usesF16/combineSubgroups f16 codegen and the vec4<f16> load/store path, which no existing f16 case exercises (f16 is only tested on tiny [1,3]/[2,4]/[2,128] shapes that hit online_1pass/online_wg)."
      },
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [2, 8192],
          "data": { "kind": "fillFloat32", "sinStep": 0.017, "cosStep": 0.029, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 8192], "tolerance": 0.002 } }
    },
    {
      "name": "online_wg_vec4_f16_2x8192_denominator_scale_lock",
      "provenance": {
        "notes": "A softmax over 8192 columns cannot have an O(1) output - every probability is ~1/8192 - so the only lever that makes a denominator error visible is a tolerance scaled to the output, and online_wg_vec4_f16_2x8192 carries a 0.002 absolute tolerance against a 1.02e-3 maximum: twice the largest value in the tensor. Its min detectable uniform scale error is 1.96, so the online pass could publish any multiple of the true row sum - a partial-max rescale applied twice, a workgroup denominator left un-combined, a vec4 lane counted four times - and still pass. Same input and route, with the tolerance moved onto the relative term so the check is on the ratio rather than on an absolute band wider than the data."
      },
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [2, 8192],
          "data": { "kind": "fillFloat32", "sinStep": 0.017, "cosStep": 0.029, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 8192], "tolerance": 0.000002, "relTolerance": 0.002 } }
    },
    {
      "name": "strided_online_lane_tail_f32_8x1024x130_axis1",
      "provenance": {
        "notes": "Compact route and dispatch-tail lock for the large-inner coalesced one-lane strided softmax path; 1040 rows leave a partial final workgroup."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [8, 1024, 130],
          "data": { "kind": "fillFloat32", "sinStep": 0.017, "cosStep": 0.029, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [8, 1024, 130], "tolerance": 0.00002, "relTolerance": 0.00002 } }
    },
    {
      "name": "strided_online_lane_tail_f16_8x1024x130_axis1",
      "provenance": {
        "notes": "f16 accumulation/output lock for the same coalesced one-lane route and partial final workgroup."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [8, 1024, 130],
          "data": { "kind": "fillFloat32", "sinStep": 0.017, "cosStep": 0.029, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [8, 1024, 130], "tolerance": 0.003, "relTolerance": 0.003 } }
    },
    {
      "name": "strided_3pass_f16_rank3_axis1",
      "provenance": {
        "notes": "f16 coverage for the strided_3pass non-last-axis path: rank-3 [4,8,16] at axis 1 exercises the f16 max, exp-sum, and normalization passes with non-coalesced strided access."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [4, 8, 16],
          "data": { "kind": "fillFloat32", "sinStep": 0.13, "cosStep": 0.07, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [4, 8, 16], "tolerance": 0.002 } }
    },
    {
      "name": "strided_positive_infinity_rows_return_nan_axis1",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 3, 4],
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      "outputs": { "y": { "dtype": "float32", "shape": [2, 3, 4], "tolerance": 0.000001, "allowNaN": true } }
    },
    {
      "name": "strided_all_negative_infinity_nan_row_axis1",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 2, 3],
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            "values": ["-Infinity", "-Infinity", "-Infinity", "-Infinity", "-Infinity", "-Infinity", 1.0, 2.0, 3.0, 4.0, 5.0, 6.0]
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      "outputs": {
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          "shape": [2, 2, 3],
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      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float32", "shape": [2, 0, 4], "data": { "kind": "values", "values": [] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 0, 4], "tolerance": 0 } }
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    {
      "name": "strided_inner_dim_zero_axis1_scalar",
      "attrs": { "axis": 1 },
      "inputs": { "x": { "dtype": "float32", "shape": [3, 4, 0], "data": { "kind": "values", "values": [] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 0], "tolerance": 0 } }
    },
    {
      "name": "strided_mixed_neg_inf_and_finite_axis1",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [1, 4, 2],
          "data": {
            "kind": "values",
            "values": ["-Infinity", "-Infinity", 0.5, -2.5, "-Infinity", 0.0, 1.25, "-Infinity"]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1, 4, 2], "tolerance": 0.000001 } }
    },
    {
      "name": "packed_rows_tail_axis1_33x32",
      "provenance": {
        "notes": "One row beyond a full 32-row packed workgroup locks the grid-stride tail guard and requires every inactive logical row to keep participating in workgroup barriers."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [33, 32],
          "data": { "kind": "fillFloat32", "sinStep": 0.037, "cosStep": 0.019, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [33, 32], "tolerance": 0.000001, "relTolerance": 0.000001 } }
    },
    {
      "name": "many_short_rows_axis1_64x32",
      "provenance": {
        "notes": "Compact correctness sibling for many-short-row softmax tier benchmarking; keeps the same 32-column reduced axis without making the correctness suite benchmark-sized."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [64, 32],
          "data": { "kind": "fillFloat32", "sinStep": 0.037, "cosStep": 0.019, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [64, 32], "tolerance": 0.000001, "relTolerance": 0.000001 } }
    },
    {
      "name": "strided_scalar4_tail_f32_rank3_axis1_inner6",
      "provenance": {
        "notes": "Compact correctness lock for coarsening four adjacent strided rows when the inner dimension has a two-lane tail."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 17, 6],
          "data": { "kind": "fillFloat32", "sinStep": 0.071, "cosStep": 0.043, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 17, 6], "tolerance": 0.00001, "relTolerance": 0.00001 } }
    },
    {
      "name": "strided_scalar4_tail_f16_rank3_axis1_inner6",
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [2, 17, 6],
          "data": { "kind": "fillFloat32", "sinStep": 0.071, "cosStep": 0.043, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 17, 6], "tolerance": 0.003, "relTolerance": 0.003 } }
    },
    {
      "name": "strided_empty_inner_f16_forces_plain_3pass",
      "provenance": {
        "notes": "f16 with a zero-length inner dimension is the only strided shape both scalar4 (needs inner > 0) and vec4 (needs f32) reject, so it is the one selector of the plain strided_3pass route; the empty axis-0 f32 sibling above lands on scalar4 instead."
      },
      "attrs": { "axis": 0 },
      "inputs": { "x": { "dtype": "float16", "shape": [2, 0], "data": { "kind": "values", "values": [] } } },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 0], "tolerance": 0 } }
    },
    {
      "name": "strided_rowmax_scratch_over_128mib_f16_capacity_fallback",
      "provenance": {
        "notes": "Row-scratch capacity cliff: 33554433 strided rows need a 128 MiB+1 f32 rowMax buffer, so every 3-pass strided route fails axisRowScratchFits and only the single-pass online fallback remains. f16 keeps the 64 MiB input inside the same spec-minimum storage-binding limit the f32 scratch overflows, which is exactly the device situation the fallback exists for."
      },
      "attrs": { "axis": 0 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [1, 33554433],
          "data": { "kind": "cycle", "values": [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0] }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [1, 33554433], "tolerance": 0.002 } }
    },
    {
      "name": "rank8_last_axis",
      "attrs": { "axis": -1 },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [2, 1, 1, 1, 1, 1, 2, 3],
          "data": { "kind": "values", "values": [1.0, 2.0, 3.0, -1.0, 0.0, 1.0, 0.5, -0.5, 2.5, 4.0, 1.0, -2.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [2, 1, 1, 1, 1, 1, 2, 3], "tolerance": 0.000001 } }
    },
    {
      "name": "packed_rows_64x8_f16",
      "provenance": {
        "notes": "float16 on the packed-rows online route: a last axis of at most 32 that is a multiple of four, over more than 32 rows. Only f32 cases had ever rendered it."
      },
      "attrs": { "axis": 1 },
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [64, 8],
          "data": { "kind": "fillFloat32", "sinStep": 0.037, "cosStep": 0.019, "scale": 2.0 }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [64, 8], "tolerance": 0.002 } }
    }
  ]
}