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{
  "cases": [
    {
      "name": "f32_values",
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [6],
          "data": { "kind": "values", "values": [1.0, 1.25, 2.0, 4.0, 8.0, 16.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [6], "tolerance": 0.000001 } }
    },
    {
      "name": "f16_values",
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [2, 3],
          "data": { "kind": "values", "values": [1.0, 1.25, 2.0, 4.0, 8.0, 16.0] }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [2, 3] } },
      "tolerance": 0.002
    },
    {
      "name": "out_of_domain_returns_nan",
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [6],
          "data": { "kind": "values", "values": [0.5, 2.0, -1.0, 1.5, -5.0, 1.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [6], "tolerance": 0.000001, "allowNaN": true } }
    },
    {
      "name": "f16_domain_and_nonfinite_values",
      "inputs": {
        "x": {
          "dtype": "float16",
          "shape": [8],
          "data": { "kind": "values", "values": [1.0, 1.001, 2.0, 0.999, 0.0, "Infinity", "-Infinity", "NaN"] }
        }
      },
      "outputs": { "y": { "dtype": "float16", "shape": [8], "tolerance": 0.003, "allowNaN": true } }
    },
    {
      "name": "large_in_domain_args_no_overflow",
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [6],
          "data": {
            "kind": "values",
            "values": [10000000000.0, 1000000000000000.0, 100000000000000000000.0, 1e+30, 3e+38, 1e+25]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [6], "tolerance": 0.001 } }
    },
    {
      "name": "f32_large_in_domain_accuracy_gpu_gap",
      "skipGpu": {
        "category": "todo",
        "reason": "The package's f32 result differs from the correctly rounded expected value by about one ULP at large finite magnitudes. A higher-accuracy algorithm or software-extended precision could close the gap."
      },
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/element_wise_ops_test.cc",
        "test": "MathOpTest.Acosh",
        "notes": "Large finite in-domain values exercise Acosh's overflow-avoidance region and expose a one-ULP float32 accuracy gap."
      },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [6],
          "data": {
            "kind": "values",
            "values": [10000000000.0, 1000000000000000.0, 100000000000000000000.0, 1e+30, 3e+38, 1e+25]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [6], "tolerance": 0.000001, "relTolerance": 0 } }
    },
    {
      "name": "ort_float_in_domain_range",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/element_wise_ops_test.cc",
        "test": "MathOpTest.Acosh"
      },
      "inputs": {
        "x": { "dtype": "float32", "shape": [5], "data": { "kind": "values", "values": [1.0, 1.1, 3.0, 10.0, 100.0] } }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [5], "tolerance": 0.00001 } }
    },
    {
      "name": "ort_domain_and_nonfinite_values",
      "provenance": {
        "source": "onnxruntime/test/providers/cpu/math/element_wise_ops_test.cc",
        "test": "MathOpTest.Acosh",
        "notes": "Adds boundary, out-of-domain, and non-finite inputs around acosh's x >= 1 domain."
      },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [8],
          "data": { "kind": "values", "values": [1.0, 1.0000001, 2.0, 0.9999999, 0.0, -1.0, "Infinity", "NaN"] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [8], "tolerance": 0.00001, "allowNaN": true } }
    },
    {
      "name": "onnx_backend_example",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_acosh_example" },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3],
          "data": { "kind": "values", "values": [10.0, 2.7182817459106445, 1.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3], "tolerance": 0.000001 } }
    },
    {
      "name": "onnx_backend_acosh",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_acosh" },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3, 4, 5],
          "data": {
            "kind": "values",
            "values": [5.939321517944336, 7.436704158782959, 6.424870491027832, 5.903948783874512, 4.812893390655518, 6.813046932220459, 4.938284873962402, 9.025957107543945, 9.672965049743652, 4.4509735107421875, 8.12552547454834, 5.760054111480713, 6.112401008605957, 9.33036994934082, 1.6393245458602905, 1.7841637134552002, 1.1819655895233154, 8.493578910827637, 8.003410339355469, 8.830109596252441, 9.807564735412598, 8.192426681518555, 5.153314113616943, 8.024762153625488, 2.064469814300537, 6.759289264678955, 2.290179491043091, 9.502019882202148, 5.696634769439697, 4.73195743560791, 3.381000518798828, 7.968103408813477, 5.105352878570557, 6.11590576171875, 1.1691081523895264, 6.558719635009766, 6.508861541748047, 6.552405834197998, 9.493732452392578, 7.136382579803467, 4.235570907592773, 4.933287620544434, 7.278680801391602, 1.5420292615890503, 7.0009002685546875, 7.035740852355957, 2.8934431076049805, 2.16033673286438, 3.838855266571045, 4.273396968841553, 6.131771087646484, 4.947413444519043, 9.895364761352539, 1.9184032678604126, 2.8798909187316895, 2.4517855644226074, 6.877974987030029, 3.2796244621276855, 5.196796894073486, 3.1998302936553955]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3, 4, 5], "tolerance": 0.00001, "allowNaN": true } }
    },
    {
      "name": "onnx_backend_acosh_example",
      "provenance": { "source": "cmake/external/onnx/onnx/backend/test/data/node/test_acosh_example" },
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [3],
          "data": { "kind": "values", "values": [10.0, 2.7182817459106445, 1.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [3], "tolerance": 0.00001 } }
    },
    {
      "name": "vec4_f32_large_magnitude_guard",
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [4],
          "data": {
            "kind": "values",
            "values": [100000000000000000.0, 1000000000000000000.0, 10000000000000000000.0, 100000000000000000000.0]
          }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [4] } }
    },
    {
      "name": "empty_input_zero_dim",
      "inputs": { "x": { "dtype": "float32", "shape": [0], "data": { "kind": "values", "values": [] } } },
      "outputs": { "y": { "dtype": "float32", "shape": [0], "tolerance": 0 } }
    },
    {
      "name": "vec4_f32_out_of_domain_nan",
      "inputs": {
        "x": {
          "dtype": "float32",
          "shape": [8],
          "data": { "kind": "values", "values": [1.0, 1.5, 2.0, 100000000.0, 0.999999, 0.5, 0.0, -3.0] }
        }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [8], "tolerance": 0.000001, "allowNaN": true } }
    },
    {
      "name": "f32_vec4_sustained_1024",
      "inputs": {
        "x": { "dtype": "float32", "shape": [1024], "data": { "kind": "linspace", "start": 1.0, "end": 16.0 } }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [1024], "tolerance": 0.00001 } }
    },
    {
      "name": "f32_scalar_tail_4097",
      "provenance": {
        "notes": "An element count not divisible by four exercises the f32 scalar tail with every value inside the Acosh domain."
      },
      "inputs": {
        "x": { "dtype": "float32", "shape": [4097], "data": { "kind": "linspace", "start": 1.0, "end": 10.0 } }
      },
      "outputs": { "y": { "dtype": "float32", "shape": [4097], "tolerance": 0.00001, "relTolerance": 0.00001 } }
    }
  ]
}