# Category:System.Numerics

System.Numerics is a library used by Visual Studio to implement the BigInteger Class (among others). Although it does not directly support BigRationals or BigFloats, one can usually figure out a way to deal with placing a decimal point properly to simulate arbitrary precision floating point operations.

System.Numerics MS documentation for .NET Framework 4.7.2
System.Numerics MS documentaion for .NET Core 2.2)

Classes:

```Vector - Provides a collection of static convenience methods for creating, manipulating, combining, and converting generic vectors.                           Note: available in NET.Core only.
```

Structs:

```BigInteger - Represents an arbitrarily large signed integer.
Complex - Represents a complex number.
Matrix3x2 - Represents a 3x2 matrix.
Matrix4x4 - Represents a 4x4 matrix.
Plane - Represents a plane in three-dimensional space.
Quaternion - Represents a vector that is used to encode three-dimensional physical rotations.
Vector<T> - Represents a single vector of a specified numeric type that is suitable for low-level                                                              optimization of parallel algorithms.  Note: available in NET.Core only.
Vector2 - Represents a vector with two single-precision floating-point values.
Vector3 - Represents a vector with three single-precision floating-point values.
Vector4 - Represents a vector with four single-precision floating-point values.
```

Remarks about the structures and vector types of the System.Numerics namespace:

The BigInteger structure, which is a nonprimitive integral type that supports arbitrarily large integers. An integral primitive such as Byte or Int32 includes a MinValue and a MaxValue property, which define the lower bound and upper bound supported by that data type. In contrast, the BigInteger structure has no lower or upper bound, and can contain the value of any integer.

The Complex structure, which represents a complex number. A complex number is a number in the form a + bi, where a is the real part, and b is the imaginary part.

The SIMD-enabled vector types, which include Vector2, Vector3, Vector4, Matrix3x2, Matrix4x4, Plane, and Quaternion.

BigInteger operators and methods:

Operators implemented in the BigInteger class include Addition, BitwiseAnd, BitwiseOr, Decrement, Division, Equality, ExclusiveOr, Explicit, GreaterThan, GreaterThanOrEqual, Implicit, Increment, Inequality, LeftShift, LessThan, LessThanOrEqual, Modulus, Multiply, OnesComplement, RightShift, Subtraction, UnaryNegation, and UnaryPlus.

Methods implemented in the BigInteger class include Abs, Add, Compare, CompareTo, Divide, DivRem, Equals, GetByteCount, GetHashCode, GreatestCommonDivisor, Log, Log10, Max, Min, ModPow, Multiply, Negate, Parse, Pow, Remainder, Subtract, ToByteArray, ToString, TryFormat, TryParse, and TryWriteBytes.

## Pages in category "System.Numerics"

The following 12 pages are in this category, out of 12 total.