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{
  "cases": [
    {
      "name": "periodic_f32_size16",
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [16] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [16], "tolerance": 0.00001 } }
    },
    {
      "name": "symmetric_f32_size16",
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [16] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [16], "tolerance": 0.00001 } }
    },
    {
      "name": "periodic_f32_size10",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_hammingwindow" },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [10] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [10], "tolerance": 0.00001 } }
    },
    {
      "name": "symmetric_f32_size10_onnx_backend",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_hammingwindow_symmetric" },
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [10] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [10], "tolerance": 0.00001 } }
    },
    {
      "name": "periodic_f32_size0_empty",
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [0] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [0], "tolerance": 0 } }
    },
    {
      "name": "periodic_f32_size1_boundary",
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [1] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [1], "tolerance": 0.00001 } }
    },
    {
      "name": "symmetric_f32_size1_nan_boundary",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/signal/signal_ops_test.cc",
        "test": "SignalOpsTest.HammingWindowFloat",
        "notes": "Additional ORT-validated edge: symmetric size 1 uses denominator length - 1 = 0 and produces NaN."
      },
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [1] } } },
      "outputs": {
        "y": {
          "dtype": "float32",
          "shape": [1],
          "tolerance": 0,
          "allowNaN": true,
          "data": { "kind": "values", "values": ["NaN"] }
        }
      }
    },
    {
      "name": "symmetric_f32_odd_size7",
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [7] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [7], "tolerance": 0.00001 } }
    },
    {
      "name": "periodic_f16_size32",
      "attrs": { "output_datatype": 10 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [32] } } },
      "outputs": { "y": { "dtype": "float16", "shape": [32], "tolerance": 0.002 } }
    },
    {
      "name": "ort_periodic_int16_output_size8",
      "provenance": {
        "source": "ONNX Runtime's CPU provider",
        "notes": "ONNX HammingWindow computes in float and applies output_datatype=INT16 as a final cast."
      },
      "attrs": { "output_datatype": 5 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [8] } } },
      "outputs": {
        "y": {
          "dtype": "int16",
          "shape": [8],
          "tolerance": 0,
          "data": { "kind": "values", "values": [0, 0, 0, 0, 1, 0, 0, 0] }
        }
      }
    },
    {
      "name": "ort_symmetric_uint32_output_size1_zero_cast",
      "provenance": {
        "source": "ONNX Runtime's CPU provider",
        "notes": "The symmetric size-one formula produces NaN in float; ONNX Cast to UINT32 maps that value to zero."
      },
      "attrs": { "output_datatype": 12, "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [1] } } },
      "outputs": {
        "y": { "dtype": "uint32", "shape": [1], "tolerance": 0, "data": { "kind": "values", "values": [0] } }
      }
    },
    {
      "name": "onnx_standard_periodic_int8_output_size8",
      "attrs": { "output_datatype": 3 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [8] } } },
      "outputs": {
        "y": {
          "dtype": "int8",
          "shape": [8],
          "tolerance": 0,
          "data": { "kind": "values", "values": [0, 0, 0, 0, 1, 0, 0, 0] }
        }
      }
    },
    {
      "name": "onnx_standard_periodic_uint8_output_size8",
      "attrs": { "output_datatype": 2 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [8] } } },
      "outputs": {
        "y": {
          "dtype": "uint8",
          "shape": [8],
          "tolerance": 0,
          "data": { "kind": "values", "values": [0, 0, 0, 0, 1, 0, 0, 0] }
        }
      }
    },
    {
      "name": "onnx_standard_periodic_int32_output_size8",
      "attrs": { "output_datatype": 6 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [8] } } },
      "outputs": {
        "y": {
          "dtype": "int32",
          "shape": [8],
          "tolerance": 0,
          "data": { "kind": "values", "values": [0, 0, 0, 0, 1, 0, 0, 0] }
        }
      }
    },
    {
      "name": "periodic_f32_size257_phase_accuracy_gpu_gap",
      "skipGpu": {
        "category": "todo",
        "reason": "The current f32 cosine and range-reduction path crosses the final rounding boundary for this periodic size-257 window. A correctly rounded approximation or software-extended precision could close this implementable gap."
      },
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/signal/signal_ops_test.cc",
        "test": "SignalOpsTest.HammingWindowFloat",
        "notes": "A periodic size-257 window stresses float32 phase formation across many non-cardinal cosine positions and exposes final-rounding error in the cosine sum."
      },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [257] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [257], "tolerance": 6e-8, "relTolerance": 0 } }
    },
    {
      "name": "symmetric_f32_size257_phase_accuracy_gpu_gap",
      "skipGpu": {
        "category": "todo",
        "reason": "The current f32 cosine and range-reduction path crosses the final rounding boundary for this symmetric size-257 window. A correctly rounded approximation or software-extended precision could close this implementable gap."
      },
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/signal/signal_ops_test.cc",
        "test": "SignalOpsTest.HammingWindowFloat",
        "notes": "For a symmetric odd-sized window, the length-minus-one denominator shifts every non-cardinal cosine sample and exposes float32 phase drift."
      },
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [257] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [257], "tolerance": 6e-8, "relTolerance": 0 } }
    },
    {
      "name": "ort_periodic_f32_size32",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/signal/signal_ops_test.cc",
        "test": "SignalOpsTest.HammingWindowFloat"
      },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [32] } } },
      "outputs": {
        "y": {
          "dtype": "float32",
          "shape": [32],
          "tolerance": 0.00001,
          "data": {
            "kind": "values",
            "values": [0.086957, 0.095728, 0.121707, 0.163894, 0.220669, 0.289848, 0.368775, 0.454415, 0.543478, 0.632541, 0.718182, 0.797108, 0.866288, 0.923062, 0.965249, 0.991228, 1.0, 0.991228, 0.965249, 0.923062, 0.866288, 0.797108, 0.718182, 0.632541, 0.543478, 0.454415, 0.368775, 0.289848, 0.220669, 0.163894, 0.121707, 0.095728]
          }
        }
      }
    },
    {
      "name": "periodic_int32_size8",
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [8] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [8], "tolerance": 0.00001 } }
    },
    {
      "name": "symmetric_f32_size2_denom1",
      "attrs": { "periodic": 0 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [2] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [2], "tolerance": 0.00001 } }
    },
    {
      "name": "symmetric_f16_size16",
      "attrs": { "output_datatype": 10, "periodic": 0 },
      "requires": { "features": ["shader-f16"] },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [16] } } },
      "outputs": { "y": { "dtype": "float16", "shape": [16], "tolerance": 0.002 } }
    },
    {
      "name": "periodic_f32_clamped_dispatch_65537",
      "tunables": { "WORKGROUP_SIZE": 1 },
      "inputs": { "size": { "dtype": "int32", "shape": [], "data": { "kind": "values", "values": [65537] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [65537], "tolerance": 0.00001 } },
      "provenance": {
        "notes": "A non-power-of-two period whose one-lane workgroups reach the dispatch cap and reuse the first invocations for the final two output elements."
      }
    }
  ]
}