File size: 12,595 Bytes
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"cases": [
{
"name": "f16_vec4",
"provenance": {
"notes": "Float16 operands with float32 emb. Sin and cos are computed in float32 and rounded once."
},
"inputs": {
"embT": {
"dtype": "float32",
"shape": [2, 4, 8],
"data": { "kind": "fillFloat32", "scale": 2.5, "sinStep": 0.23, "cosStep": 0.37 }
},
"qT": {
"dtype": "float16",
"shape": [2, 2, 4, 8],
"data": {
"kind": "fillFloat32",
"scale": 0.8,
"sinStep": 0.16999999999999998,
"cosStep": 0.29000000000000004
}
},
"qRotT": {
"dtype": "float16",
"shape": [2, 2, 4, 8],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.43, "cosStep": 0.13 }
},
"kT": {
"dtype": "float16",
"shape": [2, 2, 4, 8],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.35, "cosStep": 0.19 }
},
"kRotT": {
"dtype": "float16",
"shape": [2, 2, 4, 8],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.47, "cosStep": 0.25 }
}
},
"outputs": {
"output1T": { "dtype": "float16", "shape": [2, 2, 4, 8], "tolerance": 0.005 },
"output2T": { "dtype": "float16", "shape": [2, 2, 4, 8], "tolerance": 0.005 }
}
},
{
"name": "f16_scalar",
"provenance": { "notes": "float16 on the scalar variant, dim 5." },
"inputs": {
"embT": {
"dtype": "float32",
"shape": [2, 3, 5],
"data": { "kind": "fillFloat32", "scale": 2.5, "sinStep": 0.24000000000000002, "cosStep": 0.38 }
},
"qT": {
"dtype": "float16",
"shape": [2, 2, 3, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.18, "cosStep": 0.30000000000000004 }
},
"qRotT": {
"dtype": "float16",
"shape": [2, 2, 3, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.44, "cosStep": 0.14 }
},
"kT": {
"dtype": "float16",
"shape": [2, 2, 3, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.36, "cosStep": 0.2 }
},
"kRotT": {
"dtype": "float16",
"shape": [2, 2, 3, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.48, "cosStep": 0.26 }
}
},
"outputs": {
"output1T": { "dtype": "float16", "shape": [2, 2, 3, 5], "tolerance": 0.005 },
"output2T": { "dtype": "float16", "shape": [2, 2, 3, 5], "tolerance": 0.005 }
}
},
{
"name": "pinned_f16_round_before_add",
"provenance": {
"notes": "Pins the round-to-T-before-add rule at float16. Every element is a near-cancellation: the two products are around 100 in magnitude and their sum is under 1, so rounding each product to float16 before the add moves the result by 150 to 900 ulps, while a backend that contracted the multiply into an fma and kept a float32 product would land somewhere else entirely. The angles were chosen so their float16 sin and cos survive several ulps of perturbation, so this does not test the GPU's transcendental."
},
"inputs": {
"embT": {
"dtype": "float32",
"shape": [1, 2, 4],
"data": {
"kind": "values",
"values": [0.896741, -0.7510284, 2.9392502, 2.4113605, 2.7308347, -2.6883833, -0.7908616, -0.4171633]
}
},
"qT": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": { "kind": "values", "values": [-105.625, 248.375, 232.875, 109.75, 214.75, 205.75, -98.5625, -142.0] }
},
"qRotT": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": { "kind": "values", "values": [84.4375, 266.0, 1135.0, 122.25, 493.25, -421.0, -98.0625, -322.25] }
},
"kT": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": {
"kind": "values",
"values": [-239.625, 217.875, 249.125, -202.125, -127.8125, -135.75, 118.4375, 208.75]
}
},
"kRotT": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": { "kind": "values", "values": [-165.25, 194.25, -411.75, 281.25, 252.375, 151.25, -194.0, -455.5] }
}
},
"outputs": {
"output1T": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": { "kind": "values", "values": [0.0, -0.125, -0.125, -0.1875, 0.125, -0.75, 0.375, 0.875] },
"tolerance": 0.005
},
"output2T": {
"dtype": "float16",
"shape": [1, 1, 2, 4],
"data": { "kind": "values", "values": [-278.5, 26.625, -326.75, 338.25, 218.0, 55.8125, 221.125, 375.5] },
"tolerance": 0.005
}
}
},
{
"name": "pinned_batch2_emb_broadcast",
"provenance": {
"notes": "Expected values broadcast `emb` as `(batch, 1, sequence, dimension)`. Batch 2, three heads, and sequence length 2 exercise sequence-based embedding indexing independently of the head index."
},
"inputs": {
"embT": {
"dtype": "float32",
"shape": [2, 2, 4],
"data": {
"kind": "values",
"values": [-2.75, -2.383333, -2.016667, -1.65, -1.283333, -0.916667, -0.55, -0.183333, 0.183333, 0.55, 0.916667, 1.283333, 1.65, 2.016667, 2.383333, 2.75]
}
},
"qT": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [0.686035, -0.222046, -0.056, -0.728027, 0.777832, -0.014, 0.219971, -0.970215, 0.512207, -0.260986, -0.564941, 0.10498, -0.898926, -0.805176, -0.737793, 0.758789, 0.099976, -0.890137, 0.366943, 0.452881, -0.427979, 0.220947, -0.284912, -0.829102, 0.36499, 0.771973, 0.406006, 0.899902, 0.604004, 0.124023, 0.341064, 0.088013, 0.03299, -0.908203, 0.726074, 0.077026, -0.650879, -0.657227, 0.290039, 0.905762, 0.600098, -0.36499, -0.568848, 0.399902, -0.366943, 0.542969, 0.333984, -0.650879]
}
},
"qRotT": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [0.368896, 0.120972, 0.058014, 0.370117, -0.188965, 0.052002, 0.64209, -0.974121, -0.845215, -0.566895, 0.748047, 0.915039, -0.520996, -0.717773, 0.74707, -0.085022, -0.570801, 0.869141, 0.112976, -0.671875, -0.346924, -0.794922, -0.644043, -0.182007, 0.862793, -0.569824, -0.189941, -0.253906, -0.791016, -0.698242, 0.540039, 0.003, -0.426025, 0.733887, -0.112, -0.364014, -0.724121, 0.167969, -0.540039, 0.088989, 0.011002, 0.203003, -0.213989, -0.292969, -0.151001, 0.895996, 0.682129, 0.910156]
}
},
"kT": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [-0.395996, -0.052002, 0.120972, -0.955078, -0.782227, 0.232056, -0.702148, 0.06897, 0.581055, 0.923828, -0.251953, 0.258057, -0.813965, -0.799805, 0.491943, -0.418945, 0.583008, -0.597168, 0.333008, 0.731934, 0.852051, -0.009003, -0.476074, 0.206055, -0.527832, 0.714844, 0.948242, -0.370117, 0.729004, 0.481934, -0.527832, -0.467041, -0.711914, 0.515137, 0.551758, -0.099976, -0.858887, -0.544922, 0.580078, 0.621094, -0.52002, -0.331055, 0.326904, -0.25293, 0.430908, -0.585938, -0.588867, -0.177002]
}
},
"kRotT": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [0.106018, 0.551758, 0.952148, -0.405029, 0.814941, -0.312012, -0.819824, 0.955078, -0.234009, 0.085022, 0.008003, 0.471924, 0.798828, -0.641113, 0.679199, -0.859863, -0.974121, -0.881836, -0.122986, -0.63623, 0.18396, 0.156006, 0.094971, 0.619141, -0.366943, 0.041992, 0.945801, -0.298096, 0.036011, 0.471924, 0.223999, 0.214966, 0.890137, 0.748047, 0.523926, 0.665039, 0.189941, 0.49292, -0.488037, -0.437012, 0.37207, -0.284912, 0.765137, 0.020996, -0.462891, -0.111023, -0.63916, 0.460938]
}
}
},
"outputs": {
"output1T": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [-0.774902, 0.078064, -0.028198, -0.311523, 0.401855, -0.049774, -0.147949, -0.776367, -0.150879, 0.579102, -0.431152, -0.920898, 0.244629, 0.07959, -1.019531, 0.761719, 0.125366, 0.048828, -0.260254, 0.634277, 0.211426, 0.765137, 0.093506, -0.782227, 0.516113, 0.360596, 0.096313, 0.011597, -0.836426, -0.683594, 0.123657, -0.0802, -0.045197, -0.390869, 0.352783, -0.327393, -0.670898, 0.435059, -0.582031, -0.803223, 0.592285, -0.2052, -0.516113, -0.167725, -0.12146, 0.574219, 0.22644, 0.949219]
},
"tolerance": 0.005
},
"output2T": {
"dtype": "float16",
"shape": [2, 3, 2, 4],
"data": {
"kind": "values",
"values": [0.325439, -0.341553, -0.911621, 0.479492, -1.003906, 0.388672, -0.17041, -0.106262, -0.447754, -0.729492, 0.10144, -0.490967, -0.99707, 0.022217, 0.064697, -0.255371, -0.167236, 1.040039, -0.032593, 0.576172, 0.065063, -0.129272, -0.455322, 0.089783, -0.585938, 0.631348, 1.328125, -0.390869, -0.021759, 0.218018, 0.537109, 0.513672, -0.538086, 0.830078, 0.751465, 0.609375, 0.257324, 0.679688, -0.756836, -0.741211, -0.443359, -0.431152, 0.805664, -0.051575, -0.495605, 0.152588, -0.011963, 0.339355]
},
"tolerance": 0.005
}
}
},
{
"name": "f16_vec4_dim6_seq4_straddles_heads",
"provenance": {
"notes": "headDim 6 is not a multiple of four but seqLen * headDim = 24 is: the vec4 route admits it and its vec4s straddle head-dim boundaries within one (batch, seq) block."
},
"inputs": {
"embT": {
"dtype": "float32",
"shape": [1, 4, 6],
"data": { "kind": "fillFloat32", "scale": 2.5, "sinStep": 0.25, "cosStep": 0.38 }
},
"qT": {
"dtype": "float16",
"shape": [1, 2, 4, 6],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.19, "cosStep": 0.3 }
},
"qRotT": {
"dtype": "float16",
"shape": [1, 2, 4, 6],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.45, "cosStep": 0.14 }
},
"kT": {
"dtype": "float16",
"shape": [1, 2, 4, 6],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.37, "cosStep": 0.2 }
},
"kRotT": {
"dtype": "float16",
"shape": [1, 2, 4, 6],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.49, "cosStep": 0.26 }
}
},
"outputs": {
"output1T": { "dtype": "float16", "shape": [1, 2, 4, 6], "tolerance": 0.005 },
"output2T": { "dtype": "float16", "shape": [1, 2, 4, 6], "tolerance": 0.005 }
}
},
{
"name": "f16_vec4_dim5_seq4_odd_headdim",
"provenance": {
"notes": "An odd headDim (5) with seqLen 4: seqLen * headDim = 20 keeps every vec4 of emb angles and of q/k inside one (batch, head) block."
},
"inputs": {
"embT": {
"dtype": "float32",
"shape": [2, 4, 5],
"data": { "kind": "fillFloat32", "scale": 2.5, "sinStep": 0.26, "cosStep": 0.38 }
},
"qT": {
"dtype": "float16",
"shape": [2, 2, 4, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.19999999999999998, "cosStep": 0.3 }
},
"qRotT": {
"dtype": "float16",
"shape": [2, 2, 4, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.46, "cosStep": 0.14 }
},
"kT": {
"dtype": "float16",
"shape": [2, 2, 4, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.38, "cosStep": 0.2 }
},
"kRotT": {
"dtype": "float16",
"shape": [2, 2, 4, 5],
"data": { "kind": "fillFloat32", "scale": 0.8, "sinStep": 0.5, "cosStep": 0.26 }
}
},
"outputs": {
"output1T": { "dtype": "float16", "shape": [2, 2, 4, 5], "tolerance": 0.005 },
"output2T": { "dtype": "float16", "shape": [2, 2, 4, 5], "tolerance": 0.005 }
}
}
]
}
|