floor

operator

Library: Floating point number support (OMFLOAT)
Import : omfloat.xmd
Library: Binary coded decimal numbers (OMBCD)
Import : ombcd.xmd

Returns: the value truncated down to the specified precision

Declaration

export overloaded external float function
 floor value float x
 by value float base optional
export overloaded external bcd function
 floor value bcd x
 by value bcd base optional

Purpose

Use floor to round down:

a floating point number
a BCD number
an integer (coerced into either a floating point or a BCD number)

If you include the keyword "by" and specify the precision, floor will round down to the multiple of the precision you have specified.

If you do not include the keyword "by" and do not specify the precision, floor will round down to the next integer whose value is less than the expression.

For values greater than zero, floor works like truncate . For values less than zero, floor rounds down to the next whole number less than or equal to the original value.

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).

BCD Example:

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 floor (pi * radius * radius)
 output "area of circle with radius " || "d" % radius || " is at least " || "d" % area || "%n"

You can specify the precision of the truncation/rounding. The following program uses a precision of 0.01 to truncate/round the value at the whole cents position:

 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 floor (us-price*exchange-rate) by bcd 0.01
 output "US " || "<,ドルNNZ.ZZ>" % us-price || " is at least " || "<,ドルNNZ.ZZ>" % canadian-price || " CDN %n"

The precision specifier must be a power of 10.

Floating Point Example:

Calculate the area of a circle:

 
 import "omfloat.xmd" unprefixed
 process
 local float radius initial {"74"}
 local float area
 
 set area to floor (pi * radius * radius)
 output "Area of circle with radius " || "d" % radius || " = " || "d" % area || "%n"

Related Topics

Other Library Functions