gfx.math.approx

This module is about comparison of floating point arithmetics. Supported by this very informative article: https://randomascii.wordpress.com/2012/02/25/comparing-floating-point-numbers-2012-edition/

Members

approxRel alias approxRel = approx!(ApproxMethod.rel): Compare two data sets with ApproxMethod.rel. That is call scalarApproxRel on each couple of the data sets.
approxRelAndAbs alias approxRelAndAbs = approx!(ApproxMethod.relAndAbs): Compare two data sets with ApproxMethod.relAndAbs. That is call scalarApproxRelAndAbs on each couple of the data sets.
approxUlp alias approxUlp = approx!(ApproxMethod.ulp): Compare two data sets with ApproxMethod.ulp. That is call scalarApproxUlp on each couple of the data sets.
approxUlpAndAbs alias approxUlpAndAbs = approx!(ApproxMethod.ulpAndAbs): Compare two data sets with ApproxMethod.ulpAndAbs. That is call scalarApproxUlpAndAbs on each couple of the data sets.

ApproxMethod enum ApproxMethod: Different methods to check if two floating point values are close to each other.

approx bool approx(ApproxMethod method, T a, T b): Check with method given at runtime with default parameters a and b can be any data sets supported by the approx template

approx template approx(ApproxMethod method): Generic template to check approx method on different sets of data.
scalarApproxRel template scalarApproxRel(T): Check whether the relative error between a and b is smaller than maxEps
scalarApproxRelAndAbs template scalarApproxRelAndAbs(T): Check whether the relative error between a and b is smaller than maxEps. If the absolute error is less than maxAbs, the test succeeds however. This is useful when comparing against zero the result of a subtraction.
scalarApproxUlp template scalarApproxUlp(T): Determines if two floating point scalars are maxUlps close to each other.
scalarApproxUlpAndAbs template scalarApproxUlpAndAbs(T): Determines if two floating point scalars are maxUlps close to each other. If the absolute error is less than maxAbs, the test succeeds however. This is useful when comparing against zero the result of a subtraction.
ulpDiff template ulpDiff(T): Compute the ULP difference between two floating point numbers Negative result indicates that b has higher ULP value than a.