Rounding and numeric

These functions adjust or inspect a number’s value. Each accepts a number or a table, returning the same shape.

Round only when you mean to change the value. TrueMath carries values at full precision through every step. round, floor, and ceil permanently discard that precision, and a rounded value used in a later calculation introduces error that compounds across steps. They also change the value an activity returns, which can make it impossible to solve in reverse.To show fewer decimals without losing precision, set the variable’s display format instead of rounding.

Round [round]

round(value)
round(value; places)

Rounds to places following standard rounding (digits 0–4 round down, 5–9 round up). Set places to 1–10 to round to that decimal place, or 0 to -10 to round to a whole-number place; it defaults to 0. places must be a whole number in the range -10 to 10 (real numbers are truncated); outside that range returns a Parameter out of range error.

round(1234.56)       => 1235
round(1234.56; 1)    => 1234.6
round(1234.56; -2)   => 1200

Floor [floor]

floor(value)
floor(value; places)

The largest value less than or equal to value at the given places. places follows the same rules as round.

floor(23.456)        => 23
floor(23.567)        => 23
floor(-23.456)       => -24
floor(-23.567)       => -24
floor(1234.56; 1)    => 1234.5
floor(1234.56; -2)   => 1200

Ceiling [ceil]

ceil(value)
ceil(value; places)

The smallest value greater than or equal to value at the given places. places follows the same rules as round.

ceil(23.456)         => 24
ceil(23.567)         => 24
ceil(-23.456)        => -23
ceil(-23.567)        => -23
ceil(1234.56; 1)     => 1234.6
ceil(1234.56; -2)    => 1300

Absolute value [abs]

abs(value)

The absolute (non-negative) value.

abs(34)          => 34
abs(-34)         => 34
abs([25; -34])   => [25; 34]

Sign [sign]

sign(value)

-1 if value is negative, 0 if zero, 1 if positive.

sign(34.567)             => 1
sign(-34.567)            => -1
sign(0)                  => 0
sign([25; -34; 0; 15])   => [1; -1; 0; 1]

Integer part [ipart]

ipart(value)

The integer (whole-number) portion of value.

ipart(34.567)                     => 34
ipart([10.55; 8.7; -4.1; 3.25])   => [10; 8; -4; 3]

Fractional part [fpart]

fpart(value)

The fractional (decimal) portion of value.

fpart(34.567)                     => 0.567
fpart([10.55; 8.7; -4.1; 3.25])   => [0.55; 0.7; -0.1; 0.25]

Trigonometry Unit functions

Introduction

Quickstart

Concepts

Domain Library

Playground

Authoring Domains

Data Types

Units

Function Library

API Reference

Resources

Rounding and numeric

Round [round]

Floor [floor]

Ceiling [ceil]

Absolute value [abs]

Sign [sign]

Integer part [ipart]

Fractional part [fpart]

​Round [round]

​Floor [floor]

​Ceiling [ceil]

​Absolute value [abs]

​Sign [sign]

​Integer part [ipart]

​Fractional part [fpart]

Round [round]

Floor [floor]

Ceiling [ceil]

Absolute value [abs]

Sign [sign]

Integer part [ipart]

Fractional part [fpart]