fixed.unifiedErrorCalculator.bitsOfError

Bits of error of two numeric inputs

Since R2023b

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Syntax

fixed.unifiedErrorCalculator.bitsOfError(approxValue,refValue)
fixed.unifiedErrorCalculator.bitsOfError(approxValue,refValue,keepNaN)

Description

fixed.unifiedErrorCalculator.bitsOfError(approxValue,refValue) returns the bits of error between the approximate value approxValue and the reference value refValue given by (refValue-approxValue)/eps(approxValue).

example

fixed.unifiedErrorCalculator.bitsOfError(approxValue,refValue,keepNaN) specifies whether to keep the calculated error as NaN. By default, to indicate the calculated error is significant, the function returns Inf if the calculated error is NaN.

Examples

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Use the fixed.unifiedErrorCalculator.bitsOfError function to compute the bits of error between a set of numerical values in double precision and the same set of values in single precision.

refValue = [-3.99999988079071 -3.9999998807907104 -0.2499999999987,...
    3.99999988079071 3.9999998807907104];
approxValue = single(refValue);
y = fixed.unifiedErrorCalculator.bitsOfError(approxValue,refValue)
y =

   -0.5000    0.5000    0.0001    0.5000   -0.5000

Input Arguments

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Approximate or quantized value, specified as a scalar, vector, matrix, or multidimensional array. The input arguments approxValue and refValue must be real-valued and have the same size.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fi

Reference, ideal, or actual value to compare against, specified as a scalar, vector, matrix, or multidimensional array. The input arguments refValue and approxValue must be real-valued and have the same size.

Data Types: half | single | double | int8 | int16 | int32 | int64 | uint8 | uint16 | uint32 | uint64 | fi

Whether to keep NaN results, specified as one of these values:

  • false or 0 — If the calculated error is NaN, return Inf to indicate that the calculated error is significant.

  • true or 1 — If the calculated error is NaN, return NaN.

Algorithms

  • If both refValue and approxValue are NaN, Inf, or -Inf, they are treated as equal, and the calculated error is zero.

  • If approxValue is floating point, then eps(approxValue) returns the floating-point relative accuracy.

  • If approxValue is an integer data type, then eps(approxValue) returns 1.

  • If approxValue is a fi object, then eps(approxValue) returns the quantized relative accuracy for the fi object.

Version History

Introduced in R2023b

See Also

Apps

Functions