Decimal Comparison Tolerance ⎕DCT

The value of ⎕DCT determines the precision with which two numbers are judged to be equal when the value of ⎕FR is 1287. If ⎕FR is 645, the system uses ⎕CT.

⎕DCT may be assigned any value in the range from 0 to 2*¯32 (about 2.3283064365386962890625E¯10). A value of 0 ensures exact comparison. The value in a clear workspace is 1E¯28. ⎕DCT has Namespace scope.

⎕CT and ⎕DCT are implicit arguments of the monadic primitive functions Ceiling (), Floor () and Unique (), and of the dyadic functions Equal (=), Excluding (~), Find (), Greater (>), Greater or Equal (), Greatest Common Divisor (), Index of (), Intersection (), Less (<), Less or Equal (), Lowest Common Multiple (), Match (), Membership (), Not Match (), Not Equal (), Residue (|) and Union (), as well as ⎕FMT O-format.

For further information, see Comparison Tolerance .

Examples

      ⎕DCT←1E¯10
      1.00000000001 1.0000001 = 1
1 0