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Alexey 2021-06-28 20:26:57 +00:00
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# quantileBFloat16 {#quantilebfloat16}
Calculates a [quantile](https://en.wikipedia.org/wiki/Quantile#Estimating_quantiles_from_a_sample) of a sample consisting of [bfloat16](https://en.wikipedia.org/wiki/Bfloat16_floating-point_format) numbers. bfloat16 is a floating-point data type with 1 sign bit, 8 exponent bits and 7 fraction bits.
Computes an approximate [quantile](https://en.wikipedia.org/wiki/Quantile#Estimating_quantiles_from_a_sample) of a sample consisting of [bfloat16](https://en.wikipedia.org/wiki/Bfloat16_floating-point_format) numbers. bfloat16 is a floating-point data type with 1 sign bit, 8 exponent bits and 7 fraction bits.
The function converts input values to 32-bit floats and takes the most significant 16 bits. Then it calculates bfloat16 quantile value and converts the result to a 64-bit float by appending zero bits.
The function is a fast quantile estimator with a relative error no more than 0.390625%.