operator
Library: Floating point number support (OMFLOAT)
Import : omfloat.xmd Library: Binary coded decimal numbers (OMBCD) Import : ombcd.xmd |
Returns: a BCD or floating point number rounded to the nearest value |
export overloaded external float function round value float x nearest value float base optional export overloaded bcd function round value bcd b nearest value bcd base optional bankers-nearest value bcd bankers-base optional
Use this function to round any of the following to the nearest digit or decimal place specified:
If you do not specify the precision, you will round to the nearest integer. If a base precision is specified, the value is rounded to the nearest multiple of the precision specifier. If bankers-base is specified, the value is rounded to the nearest even multiple of the precision specifier.
Import either ombcd.xmd or omfloat.xmd in your program after deciding whether you want BCD mathematics (excellent for financial calculations) or floating point mathematics (excellent for extremely large numbers).
Calculate the area of a circle:
import "ombcd.xmd" unprefixed process local bcd pi initial {"3.14179"} local bcd radius initial {"74"} local bcd area set area to round (pi * radius * radius) output "area of circle with radius " || "d" % radius || " = " || "d" % area || "%n"
Calculate the area of a circle:
import "omfloat.xmd" unprefixed process local float radius initial {"74"} local float area set area to round (pi * radius * radius) output "Area of circle with radius " || "d" % radius || " = " || "d" % area || "%n"
You can specify the precision of the rounding. The following program uses a precision of 0.01 to round to the nearest cent:
import "ombcd.xmd" unprefixed process local bcd exchange-rate initial {1.4356} local bcd us-price initial {129.95} local bcd canadian-price set canadian-price to round (us-price * exchange-rate) nearest bcd 0.01 output "US " || "<$,NNZ.ZZ>" % us-price || " = " || "<$,NNZ.ZZ>" % canadian-price || " CDN %n"
You can use bankers rounding (available only with the BCD library) to resolve ties to the nearest even multiple of the precision specifier:
; Bankers-nearest rounds to the nearest even digit import "ombcd.xmd" unprefixed process local bcd x initial {9.95} local bcd y initial {9.85} local bcd rounded-x local bcd rounded-y set rounded-x to round (x) bankers-nearest 0.1 set rounded-y to round (y) bankers-nearest 0.1 output "Rounded-x = " || "d" % rounded-x || "%n" || "Rounded-y = " || "d" % rounded-y || "%n" ; Output: "Rounded-x = 10 ; Rounded-y = 9.8"
The precision specifier must be a power of 10, or an error occurs.