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A generic interface for casting between machine scalars with the
as
operator, which admits narrowing and precision loss.
Implementers of this trait AsPrimitive
should behave like a primitive
numeric type (e.g. a newtype around another primitive), and the
intended conversion must never fail.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
the type width.Performs a right shift that returns
None
on shifts larger than
the type width.Performs subtraction that returns
None
instead of wrapping around on underflow.Generic trait for floating point numbers
A generic trait for converting a number to a value.
Unary operator for retrieving the multiplicative inverse, or reciprocal, of a value.
Fused multiply-add. Computes
(self * a) + b
with only one rounding
error, yielding a more accurate result than an unfused multiply-add.The fused multiply-add assignment operation.
The base trait for numeric types, covering
0
and 1
values,
comparisons, basic numeric operations, and string conversion.The trait for
Num
types which also implement assignment operators.Generic trait for types implementing numeric assignment operators (like
+=
).The trait for
NumAssign
types which also implement assignment operations
taking the second operand by reference.An interface for casting between machine scalars.
Generic trait for types implementing basic numeric operations
The trait for
Num
types which also implement numeric operations taking
the second operand by reference.Defines a multiplicative identity element for
Self
.Binary operator for raising a value to a power.
Generic trait for primitive integers.
The trait for
Num
references which implement numeric operations, taking the
second operand either by value or by reference.Saturating math operations. Deprecated, use
SaturatingAdd
, SaturatingSub
and
SaturatingMul
instead.Performs addition that saturates at the numeric bounds instead of overflowing.
Performs multiplication that saturates at the numeric bounds instead of overflowing.
Performs subtraction that saturates at the numeric bounds instead of overflowing.
Useful functions for signed numbers (i.e. numbers that can be negative).
A generic trait for converting a value to a number.
A trait for values which cannot be negative
Performs addition that wraps around on overflow.
Performs multiplication that wraps around on overflow.
Performs a negation that does not panic.
Performs a left shift that does not panic.
Performs a right shift that does not panic.
Performs subtraction that wraps around on overflow.
Defines an additive identity element for
Self
.Functions
Computes the absolute value.
The positive difference of two numbers.
Cast from one machine scalar to another.
Raises a value to the power of exp, returning
None
if an overflow occurred.A value bounded by a minimum and a maximum
A value bounded by a maximum value
A value bounded by a minimum value
Returns the multiplicative identity,
1
.Raises a value to the power of exp, using exponentiation by squaring.
Returns the sign of the number.
Returns the additive identity,
0
.