Module numeric 

Numeric traits and utilities for SciRS2

This module provides unified access to numeric traits and complex numbers.

SciRS2 POLICY Compliance

This is the only module in the SciRS2 ecosystem that should directly import external numeric libraries. All other crates must use this module.

Re-exports

• num_traits: All numeric traits (Float, Zero, One, etc.)
• num_complex: Complex number types
• num_integer: Integer-specific functions (gcd, lcm, etc.)

Re-exports

pub use num_traits;

pub use num_complex;

pub use num_integer;

Modules

advanced_simd

Advanced-optimized SIMD operations for numerical computations

precision_tracking

Automated precision tracking for numerical computations

scientific_types

Specialized numeric types for scientific domains

stability

Numerical stability improvements

stable_algorithms

Stable numerical algorithms

Structs

Complex

Complete re-export of num-complex for SciRS2 ecosystem A complex number in Cartesian form.

ExtendedGcd

Complete re-export of num-integer for SciRS2 ecosystem Greatest common divisor and Bézout coefficients

Scalar

Type-safe representation of a unitless quantity

Traits

AngleConversion

Trait for converting between degrees and radians

AsPrimitive

Complete re-export of num-traits for SciRS2 ecosystem 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.

Average

Complete re-export of num-integer for SciRS2 ecosystem Provides methods to compute the average of two integers, without overflows.

Bounded

Complete re-export of num-traits for SciRS2 ecosystem Numbers which have upper and lower bounds

CheckedAdd

Complete re-export of num-traits for SciRS2 ecosystem Performs addition that returns None instead of wrapping around on overflow.

CheckedDiv

Complete re-export of num-traits for SciRS2 ecosystem Performs division that returns None instead of panicking on division by zero and instead of wrapping around on underflow and overflow.

CheckedMul

Complete re-export of num-traits for SciRS2 ecosystem Performs multiplication that returns None instead of wrapping around on underflow or overflow.

CheckedNeg

Complete re-export of num-traits for SciRS2 ecosystem Performs negation that returns None if the result can’t be represented.

CheckedRem

Complete re-export of num-traits for SciRS2 ecosystem Performs an integral remainder that returns None instead of panicking on division by zero and instead of wrapping around on underflow and overflow.

CheckedShl

Complete re-export of num-traits for SciRS2 ecosystem Performs a left shift that returns None on shifts larger than or equal to the type width.

CheckedShr

Complete re-export of num-traits for SciRS2 ecosystem Performs a right shift that returns None on shifts larger than or equal to the type width.

CheckedSub

Complete re-export of num-traits for SciRS2 ecosystem Performs subtraction that returns None instead of wrapping around on underflow.

ComplexFloat

Complete re-export of num-complex for SciRS2 ecosystem Generic trait for floating point complex numbers.

ComplexNumber

A trait for complex number types

Float

Complete re-export of num-traits for SciRS2 ecosystem Generic trait for floating point numbers

FloatConst

Complete re-export of num-traits for SciRS2 ecosystem

FromPrimitive

Complete re-export of num-traits for SciRS2 ecosystem A generic trait for converting a number to a value.

Integer

Complete re-export of num-integer for SciRS2 ecosystem

Inv

Complete re-export of num-traits for SciRS2 ecosystem Unary operator for retrieving the multiplicative inverse, or reciprocal, of a value.

MulAdd

Complete re-export of num-traits for SciRS2 ecosystem Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add.

MulAddAssign

Complete re-export of num-traits for SciRS2 ecosystem The fused multiply-add assignment operation *self = (*self * a) + b

Num

Complete re-export of num-traits for SciRS2 ecosystem The base trait for numeric types, covering 0 and 1 values, comparisons, basic numeric operations, and string conversion.

NumAssign

Complete re-export of num-traits for SciRS2 ecosystem The trait for Num types which also implement assignment operators.

NumAssignOps

Complete re-export of num-traits for SciRS2 ecosystem Generic trait for types implementing numeric assignment operators (like +=).

NumAssignRef

Complete re-export of num-traits for SciRS2 ecosystem The trait for NumAssign types which also implement assignment operations taking the second operand by reference.

NumCast

Complete re-export of num-traits for SciRS2 ecosystem An interface for casting between machine scalars.

NumOps

Complete re-export of num-traits for SciRS2 ecosystem Generic trait for types implementing basic numeric operations

NumRef

Complete re-export of num-traits for SciRS2 ecosystem The trait for Num types which also implement numeric operations taking the second operand by reference.

NumericConversion

Conversion between different numeric types

One

Complete re-export of num-traits for SciRS2 ecosystem Defines a multiplicative identity element for Self.

Pow

Complete re-export of num-traits for SciRS2 ecosystem Binary operator for raising a value to a power.

PrimInt

Complete re-export of num-traits for SciRS2 ecosystem Generic trait for primitive integers.

Real

Complete re-export of num-traits for SciRS2 ecosystem A trait for real number types that do not necessarily have floating-point-specific characteristics such as NaN and infinity.

RealNumber

A trait for real-valued floating point types

Roots

Complete re-export of num-integer for SciRS2 ecosystem Provides methods to compute an integer’s square root, cube root, and arbitrary nth root.

Saturating

Complete re-export of num-traits for SciRS2 ecosystem Saturating math operations. Deprecated, use SaturatingAdd, SaturatingSub and SaturatingMul instead.

SaturatingAdd

Complete re-export of num-traits for SciRS2 ecosystem Performs addition that saturates at the numeric bounds instead of overflowing.

SaturatingMul

Complete re-export of num-traits for SciRS2 ecosystem Performs multiplication that saturates at the numeric bounds instead of overflowing.

SaturatingSub

Complete re-export of num-traits for SciRS2 ecosystem Performs subtraction that saturates at the numeric bounds instead of overflowing.

ScientificInteger

A trait for integers that can be used in scientific calculations

ScientificNumber

A trait for numeric types that can be used in scientific calculations

Signed

Complete re-export of num-traits for SciRS2 ecosystem Useful functions for signed numbers (i.e. numbers that can be negative).

ToPrimitive

Complete re-export of num-traits for SciRS2 ecosystem A generic trait for converting a value to a number.

Unsigned

Complete re-export of num-traits for SciRS2 ecosystem A trait for values which cannot be negative

WrappingAdd

Complete re-export of num-traits for SciRS2 ecosystem Performs addition that wraps around on overflow.

WrappingMul

Complete re-export of num-traits for SciRS2 ecosystem Performs multiplication that wraps around on overflow.

WrappingNeg

Complete re-export of num-traits for SciRS2 ecosystem Performs a negation that does not panic.

WrappingShl

Complete re-export of num-traits for SciRS2 ecosystem Performs a left shift that does not panic.

WrappingShr

Complete re-export of num-traits for SciRS2 ecosystem Performs a right shift that does not panic.

WrappingSub

Complete re-export of num-traits for SciRS2 ecosystem Performs subtraction that wraps around on overflow.

Zero

Complete re-export of num-traits for SciRS2 ecosystem Defines an additive identity element for Self.

Functions

checked_pow

Complete re-export of num-traits for SciRS2 ecosystem Raises a value to the power of exp, returning None if an overflow occurred.

div_ceil

Complete re-export of num-integer for SciRS2 ecosystem Ceiled integer division

div_floor

Complete re-export of num-integer for SciRS2 ecosystem Floored integer division

div_mod_floor

Complete re-export of num-integer for SciRS2 ecosystem Simultaneous floored integer division and modulus

gcd

Complete re-export of num-integer for SciRS2 ecosystem Calculates the Greatest Common Divisor (GCD) of the number and other. The result is always non-negative.

gcd_lcm

Complete re-export of num-integer for SciRS2 ecosystem Calculates the Greatest Common Divisor (GCD) and Lowest Common Multiple (LCM) of the number and other.

lcm

Complete re-export of num-integer for SciRS2 ecosystem Calculates the Lowest Common Multiple (LCM) of the number and other.

Type Aliases

Complex32

Complete re-export of num-complex for SciRS2 ecosystem Alias for a Complex<f32>

Complex64

Complete re-export of num-complex for SciRS2 ecosystem Alias for a Complex<f64>