View Source Cldr.Unit.Math (Cldr Units v3.15.0)

Simple arithmetic functions for the t.Cldr.Unit.t/0 type.

Link to this section Summary

Functions

Adds two compatible Cldr.Unit.t/0 types

Adds two compatible Cldr.Unit.t/0 types and raises on error.

cmp(unit_1, unit_2) deprecated

Compare two units, converting to a common unit type if required.

Divides one Cldr.Unit.t/0 type into another. Any unit can be divided by another.

Divides one Cldr.Unit.t/0 type into another. Any unit can be divided by another.

Multiplies two Cldr.Unit.t/0 types. Any two units can be multiplied together.

Multiplies two compatible Cldr.Unit.t/0 types and raises on error.

Rounds the value of a unit.

Subtracts two compatible Cldr.Unit.t/0 types.

Subtracts two compatible Cldr.Unit.t/0 types and raises on error.

Truncates a unit's value.

Link to this section Functions

@spec add(Cldr.Unit.t(), Cldr.Unit.t()) ::
  Cldr.Unit.t() | {:error, {module(), String.t()}}

Adds two compatible Cldr.Unit.t/0 types

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the sum of unit_1 and the potentially converted unit_2, or

  • {:error, {IncompatibleUnitError, message}}.

examples

Examples

iex> Cldr.Unit.Math.add Cldr.Unit.new!(:foot, 1), Cldr.Unit.new!(:foot, 1)
Cldr.Unit.new!(:foot, 2)

iex> Cldr.Unit.Math.add Cldr.Unit.new!(:foot, 1), Cldr.Unit.new!(:mile, 1)
Cldr.Unit.new!(:foot, 5281)

iex> Cldr.Unit.Math.add Cldr.Unit.new!(:foot, 1), Cldr.Unit.new!(:gallon, 1)
{:error, {Cldr.Unit.IncompatibleUnitsError,
  "Operations can only be performed between units with the same base unit. Received :foot and :gallon"}}
@spec add!(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t() | no_return()

Adds two compatible Cldr.Unit.t/0 types and raises on error.

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the sum of unit_1 and the potentially converted unit_2 or

  • Raises an exception.

This function is deprecated. Please use Cldr.Unit.Math.compare/2.
@spec compare(unit_1 :: Cldr.Unit.t(), unit_2 :: Cldr.Unit.t()) :: :eq | :lt | :gt

Compare two units, converting to a common unit type if required.

If conversion is performed, the results are both rounded to a single decimal place before comparison.

Returns :gt, :lt, or :eq.

example

Example

iex> x = Cldr.Unit.new!(:kilometer, 1)
iex> y = Cldr.Unit.new!(:meter, 1000)
iex> Cldr.Unit.Math.compare x, y
:eq
@spec div(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t()

Divides one Cldr.Unit.t/0 type into another. Any unit can be divided by another.

options

Options

returns

Returns

  • A Cldr.Unit.t/0 of a type that is the dividend of unit_1 and unit_2 with a value that is the dividend of unit_1 and unit_2's values.

examples

Examples

iex> Cldr.Unit.Math.div Cldr.Unit.new!(:kilogram, 5), Cldr.Unit.new!(:pound, 1)
Cldr.Unit.new!(:kilogram, Ratio.new(90071992547409920, 8171193714040401))

iex> Cldr.Unit.Math.div Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:liter, 1)
Cldr.Unit.new!(:pint, Ratio.new(63733081193714246983132277926414951878417636536165, 26938398179283203149098379558387912499591752187904))

iex> Cldr.Unit.Math.div Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:pint, 1)
Cldr.Unit.new!(:pint, 5)
@spec div!(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t()

Divides one Cldr.Unit.t/0 type into another. Any unit can be divided by another.

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the dividend of unit_1 and the potentially converted unit_2 or

  • Raises an exception.

@spec mult(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t()

Multiplies two Cldr.Unit.t/0 types. Any two units can be multiplied together.

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of a type that is the product of unit_1 and unit_2 with a value that is the product of unit_1 and unit_2's values.

examples

Examples

iex> Cldr.Unit.mult Cldr.Unit.new!(:kilogram, 5), Cldr.Unit.new!(:pound, 1)
Cldr.Unit.new!(:kilogram, Ratio.new(40855968570202005, 18014398509481984))

iex> Cldr.Unit.mult Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:liter, 1)
Cldr.Unit.new!(:pint, Ratio.new(134691990896416015745491897791939562497958760939520, 12746616238742849396626455585282990375683527307233))

iex> Cldr.Unit.mult Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:pint, 1)
Cldr.Unit.new!(:pint, 5)
@spec mult!(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t()

Multiplies two compatible Cldr.Unit.t/0 types and raises on error.

options

Options

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the product of unit_1 and the potentially converted unit_2 or

  • Raises an exception.

Link to this function

round(unit, places \\ 0, mode \\ :half_up)

View Source
@spec round(
  unit :: Cldr.Unit.t(),
  places :: non_neg_integer(),
  mode :: :down | :up | :ceiling | :floor | :half_even | :half_up | :half_down
) :: Cldr.Unit.t()

Rounds the value of a unit.

arguments

Arguments

  • unit is any unit returned by Cldr.Unit.new/2

  • places is the number of decimal places to round to. The default is 0.

  • mode is the rounding mode to be applied. The default is :half_up.

returns

Returns

  • A %Unit{} of the same type as unit with a value that is rounded to the specified number of decimal places.

rounding-modes

Rounding modes

Directed roundings:

  • :down - Round towards 0 (truncate), eg 10.9 rounds to 10.0

  • :up - Round away from 0, eg 10.1 rounds to 11.0. (Non IEEE algorithm)

  • :ceiling - Round toward +∞ - Also known as rounding up or ceiling

  • :floor - Round toward -∞ - Also known as rounding down or floor

Round to nearest:

  • :half_even - Round to nearest value, but in a tiebreak, round towards the nearest value with an even (zero) least significant bit, which occurs 50% of the time. This is the default for IEEE binary floating-point and the recommended value for decimal.

  • :half_up - Round to nearest value, but in a tiebreak, round away from 0. This is the default algorithm for Erlang's Kernel.round/2

  • :half_down - Round to nearest value, but in a tiebreak, round towards 0 (Non IEEE algorithm)

examples

Examples

iex> Cldr.Unit.round Cldr.Unit.new!(:yard, 1031.61), 1
Cldr.Unit.new!(:yard, 1031.6)

iex> Cldr.Unit.round Cldr.Unit.new!(:yard, 1031.61), 2
Cldr.Unit.new!(:yard, 1031.61)

iex> Cldr.Unit.round Cldr.Unit.new!(:yard, 1031.61), 1, :up
Cldr.Unit.new!(:yard, 1031.7)
@spec sub(Cldr.Unit.t(), Cldr.Unit.t()) ::
  Cldr.Unit.t() | {:error, {module(), String.t()}}

Subtracts two compatible Cldr.Unit.t/0 types.

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the difference between unit_1 and the potentially converted unit_2, or

  • {:error, {IncompatibleUnitError, message}}.

examples

Examples

iex> Cldr.Unit.sub Cldr.Unit.new!(:kilogram, 5), Cldr.Unit.new!(:pound, 1)
Cldr.Unit.new!(:kilogram, Ratio.new(81900798833369519, 18014398509481984))

iex> Cldr.Unit.sub Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:liter, 1)
Cldr.Unit.new!(:pint, Ratio.new(36794683014431043834033898368027039378825884348261, 12746616238742849396626455585282990375683527307233))

iex> Cldr.Unit.sub Cldr.Unit.new!(:pint, 5), Cldr.Unit.new!(:pint, 1)
Cldr.Unit.new!(:pint, 4)
@spec sub!(Cldr.Unit.t(), Cldr.Unit.t()) :: Cldr.Unit.t() | no_return()

Subtracts two compatible Cldr.Unit.t/0 types and raises on error.

arguments

Arguments

returns

Returns

  • A Cldr.Unit.t/0 of the same type as unit_1 with a value that is the difference between unit_1 and the potentially converted unit_2 or

  • Raises an exception.

Truncates a unit's value.