Struct Matrix3
- Namespace
- NominalSystems
- Assembly
- NominalSystems.Core.dll
Represents a matrix or table of 9 numbers, within a fixed size of 3 rows and 3 columns.
public struct Matrix3 : IEnumerable<double>, IEnumerable- Implements
Constructors
Matrix3()
Creates a zero-initialized matrix.
public Matrix3()Matrix3(in Matrix3)
Creates a deep-copy from another matrix.
public Matrix3(in Matrix3 a)Parameters
aMatrix3
Matrix3(in double)
Creates a value-initialized matrix.
public Matrix3(in double a)Parameters
adouble
Matrix3(in double, in double, in double, in double, in double, in double, in double, in double, in double)
Creates and initializes all matrix values.
public Matrix3(in double m00, in double m01, in double m02, in double m10, in double m11, in double m12, in double m20, in double m21, in double m22)Parameters
Fields
M00
The matrix's 1st column value.
public double M00Field Value
M01
The matrix's 2nd column value.
public double M01Field Value
M02
The matrix's 3rd column value.
public double M02Field Value
M10
The matrix's 1st column value.
public double M10Field Value
M11
The matrix's 2nd column value.
public double M11Field Value
M12
The matrix's 3rd column value.
public double M12Field Value
M20
The matrix's 1st column value.
public double M20Field Value
M21
The matrix's 2nd column value.
public double M21Field Value
M22
The matrix's 3rd column value.
public double M22Field Value
Properties
Determinant
A number representing the determinant of the matrix.
public readonly double Determinant { get; }Property Value
Identity
A matrix with all diagonal values initialized with 1's.
public static Matrix3 Identity { get; }Property Value
Inverse
A matrix representing the inverse of the matrix.
public readonly Matrix3 Inverse { get; }Property Value
One
A matrix with all values initialized with 1's.
public static Matrix3 One { get; }Property Value
Transpose
A matrix representing the transposition/flip of all matrix values by it's diagonal.
public readonly Matrix3 Transpose { get; }Property Value
Zero
A matrix with all values initialized with 0's.
public static Matrix3 Zero { get; }Property Value
Methods
Equals(object)
public override readonly bool Equals(object obj)Parameters
objobject
Returns
Equals(object, in double)
public readonly bool Equals(object obj, in double precision)Parameters
Returns
GetEnumerator()
public readonly IEnumerator<double> GetEnumerator()Returns
GetHashCode()
public override readonly int GetHashCode()Returns
ToString()
public override readonly string ToString()Returns
ToString(string)
public readonly string ToString(string fmt)Parameters
fmtstringA numeric format string.
Returns
Operators
operator +(in Matrix3, in Matrix3)
Returns the addition of a matrix with another matrix.
public static Matrix3 operator +(in Matrix3 a, in Matrix3 b)Parameters
Returns
operator +(in Matrix3, in double)
Returns the addition of a matrix with a number.
public static Matrix3 operator +(in Matrix3 a, in double b)Parameters
Returns
operator +(in double, in Matrix3)
Returns the addition of a number with a matrix.
public static Matrix3 operator +(in double a, in Matrix3 b)Parameters
Returns
operator /(in Matrix3, in double)
Returns the division of a matrix with a number.
public static Matrix3 operator /(in Matrix3 a, in double b)Parameters
Returns
operator /(in double, in Matrix3)
Returns the division of a number with a matrix.
public static Matrix3 operator /(in double a, in Matrix3 b)Parameters
Returns
operator ==(in Matrix3, in Matrix3)
Returns true if all values in a matrix are equal to another matrix.
public static bool operator ==(in Matrix3 a, in Matrix3 b)Parameters
Returns
operator ==(in Matrix3, in double)
Returns true if all values in a matrix are equal to a number.
public static bool operator ==(in Matrix3 a, in double b)Parameters
Returns
operator ==(in double, in Matrix3)
Returns true if a number is equal to all values in a matrix.
public static bool operator ==(in double a, in Matrix3 b)Parameters
Returns
explicit operator Matrix3(in DCM)
Returns the explicit conversion of a 'DCM' to a 'Matrix3'.
public static explicit operator Matrix3(in DCM a)Parameters
aDCM
Returns
operator >(in Matrix3, in double)
Returns true if all values in a matrix are greater than a number.
public static bool operator >(in Matrix3 a, in double b)Parameters
Returns
operator >(in double, in Matrix3)
Returns true if a number is greater than all values in a matrix.
public static bool operator >(in double a, in Matrix3 b)Parameters
Returns
operator >=(in Matrix3, in double)
Returns true if all values in a matrix are greater than or equal to a number.
public static bool operator >=(in Matrix3 a, in double b)Parameters
Returns
operator >=(in double, in Matrix3)
Returns true if a number is greater than or equal to all values in a matrix.
public static bool operator >=(in double a, in Matrix3 b)Parameters
Returns
operator !=(in Matrix3, in Matrix3)
Returns true if all values in a matrix are not equal to another matrix.
public static bool operator !=(in Matrix3 a, in Matrix3 b)Parameters
Returns
operator !=(in Matrix3, in double)
Returns true if all values in a matrix are not equal to a number.
public static bool operator !=(in Matrix3 a, in double b)Parameters
Returns
operator !=(in double, in Matrix3)
Returns true if a number is not equal to all values in a matrix.
public static bool operator !=(in double a, in Matrix3 b)Parameters
Returns
operator <(in Matrix3, in double)
Returns true if all values in a matrix are less than a number.
public static bool operator <(in Matrix3 a, in double b)Parameters
Returns
operator <(in double, in Matrix3)
Returns true if a number is less than all values in a matrix.
public static bool operator <(in double a, in Matrix3 b)Parameters
Returns
operator <=(in Matrix3, in double)
Returns true if all values in a matrix are less than or equal to a number.
public static bool operator <=(in Matrix3 a, in double b)Parameters
Returns
operator <=(in double, in Matrix3)
Returns true if a number is less than or equal to all values in a matrix.
public static bool operator <=(in double a, in Matrix3 b)Parameters
Returns
operator *(in Matrix3, in Matrix3)
Returns the multiplication of a matrix with another matrix.
public static Matrix3 operator *(in Matrix3 a, in Matrix3 b)Parameters
Returns
operator *(in Matrix3, in Vector3)
Returns the multiplication of a matrix with a column vector.
public static Vector3 operator *(in Matrix3 a, in Vector3 b)Parameters
Returns
operator *(in Matrix3, in double)
Returns the multiplication of a matrix with a number.
public static Matrix3 operator *(in Matrix3 a, in double b)Parameters
Returns
operator *(in Vector3, in Matrix3)
Returns the multiplication of a row vector with a matrix.
public static Vector3 operator *(in Vector3 a, in Matrix3 b)Parameters
Returns
operator *(in double, in Matrix3)
Returns the multiplication of a number with a matrix.
public static Matrix3 operator *(in double a, in Matrix3 b)Parameters
Returns
operator -(in Matrix3, in Matrix3)
Returns the subtraction of a matrix with another matrix.
public static Matrix3 operator -(in Matrix3 a, in Matrix3 b)Parameters
Returns
operator -(in Matrix3, in double)
Returns the subtraction of a matrix with a number.
public static Matrix3 operator -(in Matrix3 a, in double b)Parameters
Returns
operator -(in double, in Matrix3)
Returns the subtraction of a number with a matrix.
public static Matrix3 operator -(in double a, in Matrix3 b)Parameters
Returns
operator -(in Matrix3)
Returns the negation of all values in a matrix.
public static Matrix3 operator -(in Matrix3 a)Parameters
aMatrix3