Overview

The matrix libraries are the product of years worth of weekend work and the loss of many sunny weekends. The matrix library as it currently stands has hundreds of individual function types. Most functions are overloaded to work with all basic data types: decimal, double, float, long, ulong, int, uint, short, ushort, byte, sbyte, and bool (and sometimes object). Most functions are overloaded for multiple dimensionalities as well (when applicable).

Typically 1D, 2D, and 3D arrays are handled except when arrays of a certain dimensonality are required (i.e. Mult requires 2D arrays). And some of the mathematic methods are only implemented for floating point types because they don't make sense for integer types (i.e. the Sqrt function).

The method names are typically chosen to coincide with those used in Matlab, C, C++, or C#. The functionality may or may not be the same for each function as its Matlab or C cousin. This largely depends on the immediate need that I had when I wrote it.

Mathematic Methods

	Add	Adds 2 equally sized arrays together element by element or a scalar to every element of an array.
	Array + Array
	Array + Scalar
	Subtract	Subtracts 2 equally sized arrays element by element. Also subtracts a scalar from every element of an array or every element of the array from the scalar.
	Array - Array
	Array - Scalar
	Scalar - Array
	Mult	Matrix Multiplies two arrays in LxM * MxN format. Also can multiply a scalar to every element of an array
	Array * Array
	Array * Scalar
	MultByElem	Multiplies two equally sized arrays together element by element
	Div	Divides an scalar by every element in an array or every element in an array by a scalar.
	Scalar / Array
	Array / Scalar
	DivByElem	Takes the quotient of two equally sized arrays element by element
	Sum	Takes the sum of all elements in an array
	Sqrt	Takes the square root of every element in an array
	Avg	Returns the average of the values in an array
	Var	Returns the variance of the values in an array
	StdDev	Returns the standard deviation of the values in an array
	Inv	Takes the inverse of an array
	Abs	Takes the absolute value of every element in an array
	Det	Takes the determinant of an array
	Floor	Rounds each element of an array towards zero
	Ceil	Rounds each element of an array away from zero
	LimitPrecision	Limits the precision of every element of a floating point array to the specified precision
	Norm	Takes the norm of an array
	Convolve	Convolves an array of data with a specified kernel.
	Cond	Returns the condition of the array
	Corr	Takes the normalized cross correlation of two arrays element by element
	Hist	Returns the histogram of an array of data
	Pow	Matrix multiplies an array with itself n times
	PowByElem	Raises every element in an array to the nth power
	Log	Takes the logarithm of every element in an array
	HorzDiff	Takes the horizontal difference between adjacent data points in an array. Data returned has a width of n-1
	VertDiff	Takes the vertical difference between adjacent data points in an array. Data returned has a height of n-1
	HorzDer	Takes the horizontal derivative of a 2D array of data by fitting a quadradic to each series of three horizontal data points and takes the mathematical derivative at the center point.
	VertDer	Takes the vertical derivative of a 2D array of data by fitting a quadradic to each series of three vertical data points and takes the mathematical derivative at the center point.
	FindAndReplace	Finds the set values in an array and replaces them.

Solver Methods

	RRef	Takes an array of data and reduces it to Reduced Row Echelon Form
	Simult	Solves a set of simultaneous equations either in coefficient matrix and solution matrix form or in augmented matrix form. Note: the augmented matrix must be in (n x n+1) form.
	Coef. & Soln. Matrix
	Augmented Matrix
	Regress2	Performs n-th order polynomial regression on a set of x-y data points
	Regress3	Performs multilinear regression on a set of x-y-z data points. Note: I'm trying to crete a standardized version of (m-th x n-th) multipolynomial regression, but have not yet completed it.
	Interp2	Performs interpolation on a 2D set of data. Interpolation types include: Nearest Neighbor, Bilinear, Bicubic.
	PolyFit	Fits a n-th order polynomial through n+1 data points.
	PolyFit3	Fits a (m-th x n-th) order surface through (m+1)*(n+1) points.
	BinarySearch2D_EqualSpaced	Performs a 2D binary search on evenly spaced gridded data.
	BinarySearch2D_Monotonic	Performs a 2D binary search on non-evenly spaced, but still monotonic (always increasing or not changing in a given direction or always decreasing or not changing in a given direction)
	BinarySearch2D_Irregular	Performs a 2D binary search on completely irregular (scattered) data. Uses a triangular interpolation and prediction algorithm that works well as long as data is not too badly scattered.

Matrix Manipulation Methods

	Col
	Copy	Copies a column of data from an array to a buffer
	Cut	Copies a column of data from an array to a buffer and removes it from the input array
	Ins	Inserts a column of data into an array
	Del	Removes a column of data from an array
	Move	Shifts the position of a column of data in an array
	Swap	Interchanges the position of two columns in an array without disturbing remainder of array
	ToVec	Converts a column of data to a vector
	FromVec	Converts a vector to a column of data
	Row
	Copy	Copies a rowof data from an array to a buffer
	Cut	Copies a row of data from an array to a buffer and removes it from the input array
	Ins	Inserts a row of data into an array
	Del	Removes a row of data from an array
	Move	Shifts the position of a row of data in an array
	Swap	Interchanges the position of two rows in an array without disturbing remainder of array
	ToVec	Converts a row of data to a vector
	FromVec	Converts a vector to a row of data
	Serial	Serializes a multidimensional array of data to a 1D array of values
	SubMat	Copies a piece of an input array to a new array
	SubVec	Copies a piece of an input vector to a new vector
	RepMat	Tile the input array n x m times to create a new array
	Diag	Extract a diagonal of an array into a vector
	Overwrite	Overwrite a section of an array with the contents of another array
	Sort	Sort the elements of an array by value
	PadArray	Pad the edges input array with user set value
	VecCat	Concatenate two vectors
	HorzCat	Concatenate two equal height arrays horizontally
	VertCat	Concatenate two equal width arrays vertically
	PlaneCat	Concatenate a 2D array onto the surface of a 3D
	FlipLR	Flip the elements of an array from left-to-right to right-to-left
	FlipUD	Flip the elements of an array from up-to-down to down-to-up
	FlipFB	Flip the elements of a 3D array from front-to-back to back-to-front
	Trans	Take the transpose of an array
	Rot90CW	Rotate an array about the depth axis by 90 degrees clockwise
	Rot90CCW	Rotate an array about the depth axis by 90 degrees counter-clockwise
	Rot180	Rotate an array about the depth axis by 180 degrees

Data Type Conversion Methods

	ToString	Convert a numeric array to a string representataion. The output string is in a format that can be directly dropped into Matlab.
	ToObject	Convert numeric array into an object array
	ToDecimal	Convert numeric array into a decimal array
	ToDouble	Convert numeric array into a double array
	ToFloat	Convert numeric array into a float array
	ToLong	Convert numeric array into a long array
	ToULong	Convert numeric array into an unsigned long array
	ToInt	Convert numeric array into an int array
	ToUInt	Convert numeric array into an unsigned int array
	ToShort	Convert numeric array into a short array
	ToUShort	Convert numeric array into an unsigned short array
	ToByte	Convert numeric array into a byte array
	ToBool	Convert numeric array into a boolean array
	RectToJagged	Convert a n-D array to a jagged array type (i.e. double[,] to double[][]
	JaggedToRect	Convert a jagged array to a n-D array type (i.e double[][] to double[,])

File Type Conversion Methods

	ToCSVFile	Create a CSV (Comma Sepearated Values) file from an array
	ToBitmap	Create a bitmap from an array of data
	ToByte2File	Create a binary file storing the information from a 2D byte array
	ToUShort2File	Create a binary file storing the information from a 2D ushort array
	ToDouble2File	Create a binary file storing the information from a 2D double array
	ToDouble3File	Create a binary file storing the information from a 3D double array
	FromCSVFile	Reads a CSV file and stores data in an array
	FromBitmap	Reads a bitmap file and stores data in an array
	FromByte2File	Reads a binary file containing a 2D byte array and stores in buffer
	FromUShort2File	Reads a binary file containing a 2D ushort array and stores in buffer
	FromDouble2File	Reads a binary file containing a 2D double array and stores in buffer
	FromDouble3File	Reads a binary file containing a 3D double array and stores in buffer

Boolean Methods

	LessThan	Checks if data in array1 < array2 element by element. Boolean array of results is returned.
	LessThanEq	Checks if data in array1 <= array2 element by element. Boolean array of results is returned.
	GreaterThan	Checks if data in array1 > array2 element by element. Boolean array of results is returned.
	GreaterThanEq	Checks if data in array1 >= array2 element by element. Boolean array of results is returned.
	Equal	Checks if data in array1 == array2 element by element. Boolean array of results is returned.
	IsEmpty	Check the input array for a size 0 array. Note: this is different than a null array.
	IsBlank	Checks to see if the input array is different than initialized state
	IsNaN	Checks data in array element by element for NaNs, boolean array of results is returned
	NumNaN	Returns the number of NaNs in the array
	AnyNaN	Returns a boolean value indicating if the array contains any NaNs
	IsInf	Checks data in array element by element for positive or negative infinity, boolean array of results is returned
	NumInf	Returns the number of times positive or negative infinity occurs in the array
	AnyInf	Returns a boolean value indicating if the array contains any positive or negative infinities
	IsPosInf	Checks data in array element by element for positive infinity, boolean array of results is returned
	NumPosInf	Returns the number of times positive infinity occurs in the array
	AnyPosInf	Returns a boolean value indicating if the array contains any positive infinities
	IsNegInf	Checks data in array element by element for negative infinity, boolean array of results is returned
	NumNegInf	Returns the number of times negative infinity occurs in the array
	AnyNegInf	Returns a boolean value indicating if the array contains any negative infinities

Data Creation Methods

	Rand	Creates an array filled with random numbers in a user specified range
	RandN	Creates an array of random numbers with Gaussian characteristics
	Eye	Creates an identity matrix
	NumSeq	Creates a vector of numbers with a start, step, and end point
	NumFill	Creates an array filled with a specified value
	MeshGrid	Creates two 2D arrays of data from two sets of 1D inputs. Typically used to create x-y indicies for an array of data
	Initialize	Allows user to explicitly set all values of an array
	NewJagged	Creates a new jagged array

Information Extraction Methods

	Min	Returns the minimum value of the array (Note: -Infinity or NaN superscede real numbers in the min function and will always be returned if present)
	Max	Returns the maximum value of the array (Note: +Infinity or NaN superscede real numbers in the max function and will always be returned if present)
	MaxAndMin	Works the same was as min and max, but determines both values simultaneously. (Runs faster for large data sets, than running min and max separately)
	MinReal	Returns the minimum value of the array (excluding -Infinity and NaN)
	MaxReal	Returns the maximum value of the array (excluding +Infinity and NaN)
	Colormap	Returns a bitmap of the data in a 2D array based on a user defined color scheme.