Synopsis

PDX_BOOL mth_CompareVector(int ndim, double *a, double *b, double toler)

Purpose

Compare two vectors for equality.

Description

The vectors a and b will be compared for equality with a tolerance toler defined as "Unit vector tolerance". Equality of the two vectors are compared based on the following consideration:

One of the vectors should fall into a Tolerance Ball at the tip of the other. The ball radius is obtained by magnifying the "Unit vector tolerance" by the maximum length of the two vectors. For one vector to fall into the other vector's Tolerance Ball, it is required that the magnitude of the difference of the two vectors be less than the Tolerance Ball radius.

Input

ndim

Number of dimensions in vectors

a

First vector

b

Second vector

toler

Unit vector tolerance within which vectors of unit length are assumed to be equal.

Tolerances

      MTH_ZERO_TOL
      .fi

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