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| 1 | +### SUBSTRAIT_AGGREGATE_TEST: v1.0 |
| 2 | +### SUBSTRAIT_INCLUDE: '/extensions/functions_arithmetic.yaml' |
| 3 | + |
| 4 | +# basic: Basic examples without any special cases |
| 5 | +((1.0, 2.0, 3.0, 4.0, 5.0)) variance(SAMPLE::enum, col0::fp32) = 2.5::fp32? |
| 6 | +((1.0, 2.0, 3.0, 4.0, 5.0)) variance(SAMPLE::enum, col0::fp64) = 2.5::fp64? |
| 7 | +((1.0, 2.0, 3.0, 4.0, 5.0)) variance(POPULATION::enum, col0::fp32) = 2.0::fp32? |
| 8 | +((1.0, 2.0, 3.0, 4.0, 5.0)) variance(POPULATION::enum, col0::fp64) = 2.0::fp64? |
| 9 | + |
| 10 | +# uniform_values: Variance of uniform values |
| 11 | +((5.0, 5.0, 5.0, 5.0)) variance(SAMPLE::enum, col0::fp32) = 0.0::fp32? |
| 12 | +((5.0, 5.0, 5.0, 5.0)) variance(POPULATION::enum, col0::fp64) = 0.0::fp64? |
| 13 | + |
| 14 | +# single_value: Variance with single value |
| 15 | +((42.0)) variance(SAMPLE::enum, col0::fp32) = Null::fp32? |
| 16 | +((42.0)) variance(POPULATION::enum, col0::fp64) = 0.0::fp64? |
| 17 | + |
| 18 | +# negative_values: Variance with negative values |
| 19 | +((-5.0, -3.0, -1.0, 1.0, 3.0, 5.0)) variance(SAMPLE::enum, col0::fp32) = 15.166667::fp32? |
| 20 | +((-5.0, -3.0, -1.0, 1.0, 3.0, 5.0)) variance(SAMPLE::enum, col0::fp64) = 15.166666666666666::fp64? |
| 21 | +((-10.0, -5.0, 0.0, 5.0, 10.0)) variance(POPULATION::enum, col0::fp32) = 50.0::fp32? |
| 22 | +((-10.0, -5.0, 0.0, 5.0, 10.0)) variance(POPULATION::enum, col0::fp64) = 50.0::fp64? |
| 23 | + |
| 24 | +# decimal_precision: Variance with decimal values |
| 25 | +((1.5, 2.5, 3.5, 4.5, 5.5)) variance(SAMPLE::enum, col0::fp32) = 2.5::fp32? |
| 26 | +((1.5, 2.5, 3.5, 4.5, 5.5)) variance(SAMPLE::enum, col0::fp64) = 2.5::fp64? |
| 27 | +((0.1, 0.2, 0.3, 0.4, 0.5)) variance(POPULATION::enum, col0::fp64) = 0.020000000000000004::fp64? |
| 28 | + |
| 29 | +# large_values: Variance with large values |
| 30 | +((1000.0, 2000.0, 3000.0, 4000.0, 5000.0)) variance(SAMPLE::enum, col0::fp32) = 2500000.0::fp32? |
| 31 | +((1000.0, 2000.0, 3000.0, 4000.0, 5000.0)) variance(SAMPLE::enum, col0::fp64) = 2500000.0::fp64? |
| 32 | + |
| 33 | +# small_values: Variance with small values |
| 34 | +((0.001, 0.002, 0.003, 0.004, 0.005)) variance(SAMPLE::enum, col0::fp64) = 0.0000025::fp64? |
| 35 | +((0.001, 0.002, 0.003, 0.004, 0.005)) variance(POPULATION::enum, col0::fp64) = 0.000002::fp64? |
| 36 | + |
| 37 | +# null_handling: Examples with null as input or output |
| 38 | +((Null, Null, Null)) variance(SAMPLE::enum, col0::fp32?) = Null::fp32? |
| 39 | +(()) variance(SAMPLE::enum, col0::fp32) = Null::fp32? |
| 40 | +((1.0, Null, 3.0, Null, 5.0)) variance(SAMPLE::enum, col0::fp32?) = 4.0::fp32? |
| 41 | +((1.0, Null, 3.0, Null, 5.0)) variance(POPULATION::enum, col0::fp64?) = 2.666666666666667::fp64? |
| 42 | + |
| 43 | +# rounding: Examples with different rounding modes |
| 44 | +((1.1, 2.2, 3.3, 4.4, 5.5)) variance(SAMPLE::enum, col0::fp32) [rounding:TIE_TO_EVEN] = 3.03::fp32? |
| 45 | +((1.1, 2.2, 3.3, 4.4, 5.5)) variance(SAMPLE::enum, col0::fp64) [rounding:TRUNCATE] = 3.0299999999999994::fp64? |
| 46 | + |
| 47 | +# two_values: Variance with two values |
| 48 | +((10.0, 20.0)) variance(SAMPLE::enum, col0::fp32) = 50.0::fp32? |
| 49 | +((10.0, 20.0)) variance(POPULATION::enum, col0::fp64) = 25.0::fp64? |
| 50 | + |
| 51 | +# mixed_range: Variance with mixed range values |
| 52 | +((0.0, 100.0, 50.0, 25.0, 75.0)) variance(SAMPLE::enum, col0::fp32) = 1681.25::fp32? |
| 53 | +((0.0, 100.0, 50.0, 25.0, 75.0)) variance(POPULATION::enum, col0::fp64) = 1345.0::fp64? |
| 54 | + |
| 55 | +# zero_mean: Variance with values around zero |
| 56 | +((-2.0, -1.0, 0.0, 1.0, 2.0)) variance(SAMPLE::enum, col0::fp32) = 2.5::fp32? |
| 57 | +((-2.0, -1.0, 0.0, 1.0, 2.0)) variance(POPULATION::enum, col0::fp64) = 2.0::fp64? |
| 58 | + |
| 59 | +# three_values: Variance with three values |
| 60 | +((10.0, 20.0, 30.0)) variance(SAMPLE::enum, col0::fp32) = 100.0::fp32? |
| 61 | +((10.0, 20.0, 30.0)) variance(POPULATION::enum, col0::fp64) = 66.66666666666667::fp64? |
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