# Module sp_arithmetic::traits

source · ## Expand description

Primitive traits for the runtime arithmetic.

## Traits

- A meta trait for arithmetic.
- A meta trait for arithmetic. Same as
`AtLeast8Bit`

, but also bounded to be unsigned. - A meta trait for arithmetic.
- A meta trait for arithmetic. Same as
`AtLeast16Bit`

, but also bounded to be unsigned. - A meta trait for arithmetic.
- A meta trait for arithmetic. Same as
`AtLeast32Bit`

, but also bounded to be unsigned. - A meta trait for arithmetic type operations, regardless of any limitation on size.
- Numbers which have upper and lower bounds
- Performs addition that returns
`None`

instead of wrapping around on overflow. - Performs division that returns
`None`

instead of panicking on division by zero and instead of wrapping around on underflow and overflow. - Performs multiplication that returns
`None`

instead of wrapping around on underflow or overflow. - Performs negation that returns
`None`

if the result can’t be represented. - Performs an integral remainder that returns
`None`

instead of panicking on division by zero and instead of wrapping around on underflow and overflow. - Performs a left shift that returns
`None`

on shifts larger than or equal to the type width. - Performs a right shift that returns
`None`

on shifts larger than or equal to the type width. - Performs subtraction that returns
`None`

instead of wrapping around on underflow. - Performs addition that returns
`ArithmeticError`

instead of wrapping around on overflow. - Performs self addition that returns
`ArithmeticError`

instead of wrapping around on overflow. - Performs division that returns
`ArithmeticError`

instead of wrapping around on overflow. - Performs self division that returns
`ArithmeticError`

instead of wrapping around on overflow. - Extends
`FixedPointNumber`

with the Ensure family functions. - Similar to
`TryFrom`

but returning an`ArithmeticError`

error. - Similar to
`TryInto`

but returning an`ArithmeticError`

error. - Performs multiplication that returns
`ArithmeticError`

instead of wrapping around on overflow. - Performs self multiplication that returns
`ArithmeticError`

instead of wrapping around on overflow. - Meta trait that supports all immutable arithmetic
`Ensure*`

operations - Meta trait that supports all assigned arithmetic
`Ensure*`

operations - Performs subtraction that returns
`ArithmeticError`

instead of wrapping around on underflow. - Performs self subtraction that returns
`ArithmeticError`

instead of wrapping around on underflow. - A trait implementing integer square root.
- Defines a multiplicative identity element for
`Self`

. - Convenience type to work around the highly unergonomic syntax needed to invoke the functions of overloaded generic traits, in this case
`SaturatedFrom`

and`SaturatedInto`

. - Saturating arithmetic operations, returning maximum or minimum values instead of overflowing.
- Useful functions for signed numbers (i.e. numbers that can be negative).
- Just like
`From`

except that if the source value is too big to fit into the destination type then it’ll saturate the destination. - Just like
`Into`

except that if the source value is too big to fit into the destination type then it’ll saturate the destination. - A trait for values which cannot be negative
- Defines an additive identity element for
`Self`

.

## Functions

- Raises a value to the power of exp, returning
`None`

if an overflow occurred. - Raises a value to the power of exp, returning
`ArithmeticError`

if an overflow occurred.