Creates a new BigDecimal from BigInt value and UInt64 scale, which matches the internal representation.

Creates a new BigDecimal from Float.

NOTE Floats are fundamentally less precise than BigDecimals, which makes initialization from them risky.

Creates a new BigDecimal from BigRational.

NOTE BigRational are fundamentally more precise than BigDecimals, which makes initialization from them risky.

Returns num. Useful for generic code that does T.new(...) with T being a Number.

Creates a new BigDecimal from Int.

Creates a new BigDecimal from a String.

Allows only valid number strings with an optional negative sign.

Raises the decimal to the otherth power

require "big"

BigDecimal.new(1234, 2) ** 2 # => 152.2756

The comparison operator. Returns 0 if the two objects are equal, a negative number if this object is considered less than other, a positive number if this object is considered greater than other, or nil if the two objects are not comparable.

Subclasses define this method to provide class-specific ordering.

The comparison operator is usually used to sort values:

# Sort in a descending way:
[3, 1, 2].sort { |x, y| y <=> x } # => [3, 2, 1]

# Sort in an ascending way:
[3, 1, 2].sort { |x, y| x <=> y } # => [1, 2, 3]

Compares this object to other based on the receiver’s <=> method, returning true if it returns 0.

Also returns true if this and other are the same object.

Rounds towards positive infinity.

Divides self with another BigDecimal, with an optionally configurable precision.

When the division is inexact, the returned value rounds towards negative infinity, and its scale is never greater than scale - other.scale + precision.

BigDecimal.new(1).div(BigDecimal.new(2))    # => BigDecimal(@value=5, @scale=2)
BigDecimal.new(1).div(BigDecimal.new(3), 5) # => BigDecimal(@value=33333, @scale=5)

Divides self with another BigDecimal, with an optionally configurable precision.

When the division is inexact, the returned value rounds towards negative infinity, and its scale is never greater than scale - other.scale + precision.

BigDecimal.new(1).div(BigDecimal.new(2))    # => BigDecimal(@value=5, @scale=2)
BigDecimal.new(1).div(BigDecimal.new(3), 5) # => BigDecimal(@value=33333, @scale=5)

DEPRECATED Use #div(other : BigDecimal, precision = DEFAULT_PRECISION) instead

Rounds towards negative infinity.

Returns true if self is an integer.

Non-integer types may return true as long as self denotes a finite value without any fractional parts.

1.integer?       # => true
1.0.integer?     # => true
1.2.integer?     # => false
(1 / 0).integer? # => false
(0 / 0).integer? # => false

Returns the quotient as absolutely negative if self and other have different signs, otherwise returns the quotient.

Rounds this number to a given precision.

Rounds to the specified number of digits after the decimal place, (or before if negative), in base base.

The rounding mode controls the direction of the rounding. The default is RoundingMode::TIES_EVEN which rounds to the nearest integer, with ties (fractional value of 0.5) being rounded to the even neighbor (Banker's rounding).

-1763.116.round(2) # => -1763.12

Rounds towards the nearest integer. If both neighboring integers are equidistant, rounds away from zero.

Rounds towards the nearest integer. If both neighboring integers are equidistant, rounds towards the even neighbor (Banker's rounding).

Scales a BigDecimal to another BigDecimal, so they can be computed easier.

Converts to BigFloat.

Converts to BigInt. Truncates anything on the right side of the decimal point.

Converts to Float64. Raises OverflowError in case of overflow.

Converts to Float64. In case of overflow a wrapping is performed.

Converts to Float32. Raises OverflowError in case of overflow.

Converts to Float32. In case of overflow a wrapping is performed.

Converts to Float64. Raises OverflowError in case of overflow.

Converts to Float64. In case of overflow a wrapping is performed.

Converts to Int32. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to Int32. Truncates anything on the right side of the decimal point. In case of overflow a wrapping is performed.

Converts to Int16. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to Int16. Truncates anything on the right side of the decimal point. In case of overflow a wrapping is performed.

Converts to Int32. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to Int32. Truncates anything on the right side of the decimal point. In case of overflow a wrapping is performed.

Converts to Int64. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to Int64. Truncates anything on the right side of the decimal point. In case of overflow a wrapping is performed.

Converts to Int8. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to Int8. Truncates anything on the right side of the decimal point. In case of overflow a wrapping is performed.

Prints a nicely readable and concise string representation of this object, typically intended for users, to io.

This method is called when an object is interpolated in a string literal:

"foo #{bar} baz" # calls bar.to_io with the builder for this string

IO#<< calls this method to append an object to itself:

io << bar # calls bar.to_s(io)

Thus implementations must not interpolate self in a string literal or call io << self which both would lead to an endless loop.

Also see #inspect(IO).

Converts to UInt32. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to UInt32. Truncates anything on the right side of the decimal point, converting negative to positive. In case of overflow a wrapping is performed.

Converts to UInt16. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to UInt16. Truncates anything on the right side of the decimal point, converting negative to positive. In case of overflow a wrapping is performed.

Converts to UInt32. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to UInt32. Truncates anything on the right side of the decimal point, converting negative to positive. In case of overflow a wrapping is performed.

Converts to UInt64. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to UInt64. Truncates anything on the right side of the decimal point, converting negative to positive. In case of overflow a wrapping is performed.

Converts to UInt8. Truncates anything on the right side of the decimal point. Raises OverflowError in case of overflow.

Converts to UInt8. Truncates anything on the right side of the decimal point, converting negative to positive. In case of overflow a wrapping is performed.

Rounds towards zero.

Returns true if self is equal to zero.

0.zero? # => true
5.zero? # => false