## Approx FunctionMath Reals Class

```Public Function Approx( _
ByVal vX As Variant _
, ByVal vY As Variant _
, Optional ByVal vEpsilon As Double = 0.00000000000001 _
) As Variant```

### "Approximate" Return True if two expressions are approximately equal.

Examples:
```    Approx(34.6, 34.59999999) = False
Approx(34.6, 34.599999999999) = True
Approx("SA", "sa") = False
Approx("SA", "SA") = True```
```    ApproxVerify Subroutine
ApproxComplex Function
Debug.Assert (Visual Basic)```
vX: First of two numbers that are compared to see if they are approximately equal. Function returns Null if vX is Null or cannot be fixed up to a Double precision floating point number. (as defined by the ComplexStringToReals function).

vY: Second of two numbers that are compared to see if they are approximately equal. Function returns Null if vY is Null or cannot be fixed up to a Double precision floating point number.
Note: If either of the arguments are not numbers, this function compares the values using the EqualLikeDataType function; it passes the arguments to that function and returns its result. In this case, it uses EqualLikeDataType with the Compare Mode of vbBinaryCompare.

vEpsilon: Defines the range of "approximate" values as defined below. vEpsilon defaults to 1E-14 (10 ^ -14) if it is missing.

Definition:

```    If Y == 0: Abs(X) < Epsilon
If Y <> 0: Abs(Y - X) / Y) < Epsilon```
v1.5 Addition: This function is new to this version of Entisoft Tools. It is a version of the ApproxComplex function which supports only real numbers.