Javascript Numerical Analysis Library

This javascript library provides some numerical analysis calculation functions.

0. Preparations

This library needs an external git repository:

• js-testing-framework

0.1 Checkout this project with submodules

user$ git clone git@github.com:bjoern-hempel/js-analysis.git && cd js-analysis
user$ git submodule init
user$ git submodule update

1. Vectors

Create vectors and do some calculations with them. It uses the library sources/js/vector.js.

1.1 Some basics

1.1.1 Create a vector

Vector.constructor(array)
@param	{Array}	array	An one-dimensional array that represents the vector.
@returns	{Vector}

1.1.1.1 Example (Create from given array)

var vector = new Vector([1, 2, 3]);
console.log(JSON.stringify(vector.array)); // prints [1,2,3]

1.2 Properties

1.2.1 Size of the vector

Vector.size
@returns	{Integer}	Returns number of elements that this vector consists of.

1.2.1.1 Example

var vector = new Vector([1, 2, 3]);
console.log(vector.size); // prints 3

1.2.2 Length of the vector

Vector.length
@returns	{Number}	Returns the length of this vector.

1.2.2.1 Example

var vector = new Vector([1, 2, 3]);
console.log(vector.length); // prints 3,741657386773941

1.2.3 Array of the vector

Vector.array
@returns	{Array}	Returns the array representation of this vector.

1.2.3.1 Example

var vector = new Vector([1, 2, 3]);
console.log(JSON.stringify(vector.array)); // prints [1,2,3]

1.3 Calculations

1.3.1 Calculation mode: Change or copy the used vector

Normally all calculations refer to the used vector. That means that all calculations will change the vector to which the calculations are performed.

1.3.1.1 "Change" example:

The following example applies the calculation to the first vector (vector1).

/* create two matrices */
var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([2, 4, 6]);

/* do the calculation */
vector1.add(vector2);

/* The vector vector1 now contains the value [3,6,9]!
 * The old value [1,2,3] has changed.
 * The vector vector2 is unchanged.
 */
console.log(JSON.stringify(vector1.array)); // prints [3,6,9]
console.log(JSON.stringify(vector2.array)); // prints [2,4,6]

1.3.1.2 "Copy" example:

If you want to keep the values from the used vector vector1, you can do a copy from the calculation result. Just add another parameter to the calculation function (the copy parameter):

/* create two matrices */
var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([2, 4, 6]);

/* Do the calculation and copy the result to vector3.
 * The first parameter must contain the value true.
 */
var vector3 = vector1.add(true, vector2);

/* The vector vector1 is unchanged.
 * The vector vector2 is unchanged.
 * The vector vector3 now contains the calculation result [3,6,9]!
 */
console.log(JSON.stringify(vector1.array)); // prints [1,2,3]
console.log(JSON.stringify(vector2.array)); // prints [2,4,6]
console.log(JSON.stringify(vector3.array)); // prints [3,6,9]

1.3.2 Add two vectors

Vector.add([copy], vector)
@param	{Boolean}	copy	(optional)
@param	{Vector}	vector
@returns	{Vector}

1.3.2.1 Example

var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([2, 4, 6]);
vector1.add(vector2);
console.log(JSON.stringify(vector1.array)); // prints [3,6,9]

1.3.3 Subtract two vectors

Vector.subtract([copy], vector)
@param	{Boolean}	copy	(optional)
@param	{Vector}	vector
@returns	{Vector}

1.3.3.1 Example

var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([2, 4, 6]);
vector1.subtract(vector2);
console.log(JSON.stringify(vector1.array)); // prints [-1,-2,-3]

1.3.4 Dot Product (Inner Product)

Vector.dotProduct([copy], vector)
@param	{Boolean}	copy	(optional) The copy parameter has no effect in here.
@param	{Vector}	vector
@returns	{Number}

1.3.4.1 Example 1

var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([2, 4, 6]);
var product = vector1.dotProduct(vector2);
console.log(product); // prints 28

1.3.4.1 Example 2

var vector1 = new Vector([1, 2, 3, 4]);
var vector2 = new Vector([2, 4, 6, 8]);
var product = vector1.dotProduct(vector2);
console.log(product); // prints 60

1.3.5 Vector Product (Cross Product)

Vector.vectorProduct([copy], vector, [vector2, [vector3, [...]]])
@param	{Boolean}	copy	(optional)
@param	{Vector}	vector
@param	{Vector}	vector2	(optional)
@param	{Vector}	vector3	(optional)
@returns	{Vector}

1.3.5.1 Example 1

var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([-1, 5, -2]);
var vector3 = vector1.vectorProduct(true, vector2);
console.log(JSON.stringify(vector4.array)); // prints [-19,-1,7]

1.3.5.2 Example 2

var vector1 = new Vector([1, 2, 3, 4]);
var vector2 = new Vector([-1, 5, -2, 1]);
var vector3 = new Vector([0, 4, 2, 10]);
var vector4 = vector1.vectorProduct(true, vector2, vector3);
console.log(JSON.stringify(vector4.array)); // prints [-110,0,50,-10]

1.3.5.3 Example 3

var vector1 = new Vector([1, 2, 3, 4, 5]);
var vector2 = new Vector([-1, 5, -2, 1, 0]);
var vector3 = new Vector([0, 4, 2, 10, -9]);
var vector4 = new Vector([7, 3, -5, 20, -3]);
var vector5 = vector1.vectorProduct(true, vector2, vector3, vector4);
console.log(JSON.stringify(vector5.array)); // prints [-6223,-2318,-1519,2329,1220]

1.3.6 Row multiplication from two vectors

Vector.rowMultiply([copy], vector)
@param	{Boolean}	copy	(optional)
@param	{Vector}	vector
@returns	{Vector}

1.3.6.1 Example

var vector1 = new Vector([1, 2, 3, 4]);
var vector2 = new Vector([2, 4, 6, 8]);
vector1.rowMultiply(vector2);
console.log(JSON.stringify(vector1.array)); // prints [2,6,18,32]

1.3.7 Dyadic Product (Outer Product) from two vectors

Vector.multiplyDyadic([copy], vector)
@param	{Boolean}	copy	(optional) The copy parameter has no effect in here.
@param	{Vector}	vector
@returns	{Matrix}

1.3.7.1 Example

var vector1 = new Vector([1, 2, 3, 4]);
var vector2 = new Vector([2, 4, 6, 8]);
var matrix  = vector1.rowMultiply(multiplyDyadic);
console.log(JSON.stringify(matrix.array)); // prints [[2,4,6,8],[4,8,12,16],[6,12,18,24],[8,16,24,32]]

1.4 Manipulate the vector

1.4.1 Change a value

Vector.changeCell([copy], index, value)
@param	{Boolean}	copy	(optional)
@param	{Integer}	index
@param	{Number}	value
@returns	{Vector}

1.4.1.1 Example

var vector = new Vector([1, 2, 3]);
vector.changeCell(0, -1);
console.log(JSON.stringify(vector.array)); // prints [-1,2,3]

1.4.2 Add a value

Coming soon..

1.4.3 Delete a value

Coming soon..

2. Matrices

Create vectors and do some calculations with them. It uses the library sources/js/vector.js.

2.1 Some basics

2.1.1 Create a matrix

Matrix.constructor(array)
@param	{Array}	array	A two-dimensional array that represents the matrix.
@returns	{Matrix}

2.1.1.1 Example 1 (Create from given array)

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
console.log(JSON.stringify(matrix.array)); // prints [[1,2,3],[4,5,6]]

2.1.1.2 Example 2 (Create from given vector)

var vector = new Vector([1, 2, 3]);
var matrix = new Matrix(vector);
console.log(JSON.stringify(matrix.array)); // prints [[1],[2],[3]]

2.1.1.3 Example 3 (Create from given vectors)

var vector1 = new Vector([1, 2, 3]);
var vector2 = new Vector([4, 5, 6]);
var vector3 = new Vector([7, 8, 9]);
var matrix = new Matrix(vector1, vector2, vector3);
console.log(JSON.stringify(matrix.array)); // prints [[1,4,7],[2,5,8],[3,6,9]]

2.2 Properties

2.2.1 Size of the matrix

Matrix.size
@returns	{Array}	Returns the number of rows and cols that this matrix consists of.

2.2.1.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
console.log(JSON.stringify(vector.size)); // prints [2,3]

2.2.2 Rows of the matrix

Matrix.rows
@returns	{Integer}	Returns the number of rows that this matrix consists of.

2.2.2.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
console.log(vector.rows); // prints 2

2.2.3 Cols of the matrix

Matrix.cols
@returns	{Integer}	Returns the number of cols that this matrix consists of.

2.2.3.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
console.log(vector.cols); // prints 3

2.2.4 Array of the matrix

Matrix.array
@returns	{Array}	Returns the array representation of this matrix.

2.2.4.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
console.log(JSON.stringify(vector.array)); // prints [[1,2,3],[4,5,6]]

2.3 Calculations

2.3.1 Calculation mode: Change or copy the used matrix

Normally all calculations refer to the used matrix. That means that all calculations will change this matrix.

2.3.1.1 "Change" example:

The following example applies the calculation to the first matrix (matrix1).

/* create two matrices */
var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var matrix2 = new Matrix([[2, 4, 6], [8, 10, 12]]);

/* do the calculation */
matrix1.add(matrix2);

/* The matrix matrix1 now contains the value [[3,6,9],[12,15,18]]!
 * The old value [[1,2,3],[4,5,6]] has changed.
 * The matrix matrix2 is unchanged.
 */
console.log(JSON.stringify(matrix1.array)); // prints [[3,6,9],[12,15,18]]
console.log(JSON.stringify(matrix2.array)); // prints [[2,4,6],[8,10,12]]

2.3.1.2 "Copy" example:

If you want to keep the values from the used matrix matrix1, you can do a copy from the calculation result. Just add another parameter to the calculation function (the copy parameter):

/* create two matrices */
var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var matrix2 = new Matrix([[2, 4, 6], [8, 10, 12]]);

/* Do the calculation and copy the result to matrix3.
 * The first parameter must contain the value true. */
var matrix3 = matrix1.add(true, matrix2);

/* The matrix matrix1 is unchanged.
 * The matrix matrix2 is unchanged.
 * The matrix matrix3 now contains the calculation result [[3,6,9],[12,15,18]]!
 */
console.log(JSON.stringify(matrix1.array)); // prints [[1,2,3],[4,5,6]]
console.log(JSON.stringify(matrix2.array)); // prints [[2,4,6],[8,10,12]]
console.log(JSON.stringify(matrix3.array)); // prints [[3,6,9],[12,15,18]]

2.3.2 Add two matrices

Matrix.add([copy], matrix)
@param	{Boolean}	copy	(optional)
@param	{Matrix}	matrix
@returns	{Matrix}

2.3.2.1 Example

var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var matrix2 = new Matrix([[2, 4, 6], [8, 10, 12]]);
matrix1.add(matrix2);
console.log(JSON.stringify(matrix1.array)); // prints [[3,6,9],[12,15,18]]

2.3.3 Subtract two matrices

Matrix.substract([copy], matrix)
@param	{Boolean}	copy	(optional)
@param	{Matrix}	matrix
@returns	{Matrix}

2.3.3.1 Example

var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var matrix2 = new Matrix([[2, 4, 6], [8, 10, 12]]);
matrix1.substract(matrix2);
console.log(JSON.stringify(matrix1.array)); // prints [[-1,-2,-3],[-4,-5,-6]]

2.3.4 Scalar multiplication

Matrix.multiply([copy], scalar)
@param	{Boolean}	copy	(optional)
@param	{Number}	scalar
@returns	{Matrix}

2.3.4.1 Example 1

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
var scalar = 2.5;
matrix.multiply(scalar);
console.log(JSON.stringify(matrix.array)); // prints [[2.5,5,7.5],[10,12.5,15]]

2.3.5 Multiply two matrices

Matrix.multiply([copy], matrix)
@param	{Boolean}	copy	(optional)
@param	{Matrix}	matrix
@returns	{Matrix}

2.3.5.1 Example

var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var matrix2 = new Matrix([[1], [2], [3]]);
matrix1.multiply(matrix2);
console.log(JSON.stringify(matrix1.array)); // prints [[14],[32]]

2.3.6 Multiply a matrix with a vector

Matrix.multiply([copy], vector)
@param	{Boolean}	copy	(optional)
@param	{Vector}	vector
@returns	{Matrix}

2.3.6.1 Example

var matrix1 = new Matrix([[1, 2, 3], [4, 5, 6]]);
var vector1 = new Vector([1, 2 ,3]);
matrix1.multiply(vector1);
console.log(JSON.stringify(matrix1.array)); // prints [[14],[32]]

2.3.7 Transpose a matrix

Matrix.transpose([copy])
@param	{Boolean}	copy	(optional)
@returns	{Matrix}

2.3.7.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
matrix.transpose();
console.log(JSON.stringify(matrix.array)); // prints [[1,4],[2,5],[3,6]]

2.3.8 Calculate the determinant of the matrix

Matrix.determinant([copy])
@param	{Boolean}	copy	(optional) The copy parameter has no effect in here.
@returns	{Number}

2.3.8.1 Example

var matrix = new Matrix([
    [1, 2, 3, 4, 0],
    [5, 6, 7, 8, 7],
    [9, 1, 2, 3, 8],
    [4, 5, 9, 7, -1],
    [7, 8, -2, -5, -3]
]);
var determinant = matrix.determinant();
console.log(determinant); // prints -8406

2.3.9 Inverse a matrix

2.3.9.1 Example

var matrix1 = new Matrix([[1, 2, 3], [-4, 5, -6], [-1, 0, 3]]);
var matrix2 = matrix1.inverse();
console.log(JSON.stringify(matrix2.array)); // prints [[0.22727272727272718,-0.0909090909090909,-0.40909090909090906],[0.27272727272727276,0.09090909090909091,-0.09090909090909093],[0.07575757575757576,-0.030303030303030307,0.196969696969697]]

2.3.10 Diagonalise a matrix

TODO..

2.3.10.1 Example

TODO..

2.4 Manipulate the matrix

2.4.1 Change value

Matrix.changeCell([copy], col, row, value)
@param	{Boolean}	copy	(optional)
@param	{Integer}	col
@param	{Integer}	row
@param	{Number}	value
@returns	{Matrix}

2.4.1.1 Example

var matrix = new Matrix([[1, 2, 3], [4, 5, 6]]);
matrix.changeCell(0, 0, -1);
console.log(JSON.stringify(matrix1.array)); // prints [[-1,2,3],[4,5,6]]

2.4.2 Change row

Coming soon..

2.4.3 Change col

Coming soon..

2.4.4 Add row

Coming soon..

2.4.5 Add col

Coming soon..

2.4.6 Delete row

Coming soon..

2.4.7 Delete col

Coming soon..

3. Test the libraries

3.1 Vector library

Call tests/vector.html in your browser. It adds a div element with id testResult to your body and returns for example something like this:

----------------------------------------
Start test "js-analysis - Vector - Test"
----------------------------------------
 
  1) Vector: Running error test "Given vector format is not an array" (Code: 101).
     Test succeeded (0.7 ms).
  2) Vector: Running error test "The size of the given vector is wrong" (Code: 102).
     Test succeeded (0.1 ms).
  3) Vector: Running error test "Element from vector is no number" (Code: 103).
     Test succeeded (0.2 ms).
  4) Vector: Running success test "Init vector" (Code: 201).
     Test succeeded (0.1 ms).
  5) Vector: Running success test "Successful change value test" [mode: keep] (Code: 203).
     Test succeeded (0.3 ms).
  6) Vector: Running success test "Successful change value test" [mode: copy] (Code: 203).
     Test succeeded (0.2 ms).
  7) Vector: Running error test "Wrong given vector type" (Code: 105).
     Test succeeded (0.2 ms).
  8) Vector: Running error test "Two given vectors with different dimensions" (Code: 106).
     Test succeeded (0.1 ms).
  9) Vector: Running success test "Successful add test" [mode: keep] (Code: 204).
     Test succeeded (0.3 ms).
 10) Vector: Running success test "Successful add test" [mode: copy] (Code: 204).
     Test succeeded (0.1 ms).
 11) Vector: Running error test "Wrong given vector type" (Code: 105).
     Test succeeded (0.2 ms).
 12) Vector: Running error test "Two given vectors with different dimensions" (Code: 106).
     Test succeeded (0.1 ms).
 13) Vector: Running success test "Successful add test" [mode: keep] (Code: 205).
     Test succeeded (0 ms).
 14) Vector: Running success test "Successful add test" [mode: copy] (Code: 205).
     Test succeeded (0.1 ms).
 15) Vector: Running error test "Wrong given vector type" (Code: 105).
     Test succeeded (0.3 ms).
 16) Vector: Running error test "Two given vectors with different dimensions" (Code: 106).
     Test succeeded (0.2 ms).
 17) Vector: Running success test "Successful dot product test" [mode: keep] (Code: 206).
     Test succeeded (0.1 ms).
 18) Vector: Running success test "Successful dot product test" [mode: keep] (Code: 206).
     Test succeeded (0.1 ms).
 19) Vector: Running success test "Successful dot product test" [mode: copy] (Code: 206).
     Test succeeded (0 ms).
 20) Vector: Running error test "Two given vectors with different dimensions" (Code: 106).
     Test succeeded (1.2 ms).
 21) Vector: Running error test "The number of given vectors is wrong" (Code: 106).
     Test succeeded (0.1 ms).
 22) Vector: Running success test "Successful vector product test" [mode: keep] (Code: 207).
     Test succeeded (0.4 ms).
 23) Vector: Running success test "Successful vector product test" [mode: copy] (Code: 207).
     Test succeeded (0.2 ms).
 24) Vector: Running success test "Successful vector product test" [mode: copy] (Code: 207).
     Test succeeded (0.1 ms).
 25) Vector: Running success test "Successful vector product test" [mode: copy] (Code: 207).
     Test succeeded (0.5 ms).
 26) Vector: Running error test "Wrong given vector type" (Code: 105).
     Test succeeded (0.3 ms).
 27) Vector: Running error test "Two given vectors with different dimensions" (Code: 106).
     Test succeeded (0 ms).
 28) Vector: Running success test "Successful row multiplication test" [mode: keep] (Code: 208).
     Test succeeded (0.1 ms).
 29) Vector: Running success test "Successful row multiplication test" [mode: copy] (Code: 208).
     Test succeeded (0.1 ms).
 30) Vector: Running error test "Wrong given vector type" (Code: 105).
     Test succeeded (0 ms).
 31) Vector: Running success test "Successful dyadic multiplication test" [mode: keep] (Code: 209).
     Test succeeded (0.8 ms).
 32) Vector: Running success test "Successful dyadic multiplication test" [mode: copy] (Code: 209).
     Test succeeded (0.2 ms).
 33) Vector: Running success test "Successful unshift test" [mode: keep] (Code: 210).
     Test succeeded (0.2 ms).
 34) Vector: Running success test "Successful unshift test" [mode: copy] (Code: 210).
     Test succeeded (0.2 ms).
 35) Vector: Running success test "Successful shift test" [mode: keep] (Code: 211).
     Test succeeded (0.1 ms).
 36) Vector: Running success test "Successful shift test" [mode: copy] (Code: 211).
     Test succeeded (0.1 ms).
 37) Vector: Running success test "Successful callback function test" [mode: keep] (Code: 212).
     Test succeeded (0.2 ms).
 38) Vector: Running success test "Successful callback function test" [mode: copy] (Code: 212).
     Test succeeded (0.2 ms).
 39) Vector: Running success test "Successful length of vector test" (Code: 202).
     Test succeeded (0.1 ms).
 
-----------------------------------------------------------------
RESULT
-> All test succeeded (15.2 ms) [success: 39; error: 0; all: 39].
-----------------------------------------------------------------

3.2 Matrix library

Call tests/matrix.html in your browser. It adds a div element with id testResult to your body and returns for example something like this:

----------------------------------------
Start test "js-analysis - Matrix - Test"
----------------------------------------
 
  1) Matrix: Running error test "Rows are not an array" (Code: 101).
     Test succeeded (0.1 ms).
  2) Matrix: Running error test "Count rows is wrong" (Code: 102).
     Test succeeded (0.1 ms).
  3) Matrix: Running error test "Cols are not an array" (Code: 103).
     Test succeeded (0.1 ms).
  4) Matrix: Running error test "Count cols is wrong" (Code: 104).
     Test succeeded (0 ms).
  5) Matrix: Running error test "Wrong col number test" (Code: 105).
     Test succeeded (0.1 ms).
  6) Matrix: Running success test "Init matrix" (Code: 201).
     Test succeeded (0 ms).
  7) Matrix: Running success test "Init matrix from vector" (Code: 202).
     Test succeeded (0.1 ms).
  8) Matrix: Running success test "Init matrix from vectors" (Code: 203).
     Test succeeded (0.1 ms).
  9) Matrix: Running success test "Successful change value test" [mode: keep] (Code: 204).
     Test succeeded (0.3 ms).
 10) Matrix: Running success test "Successful change value test" [mode: copy] (Code: 204).
     Test succeeded (0.1 ms).
 11) Matrix: Running error test "Row access is wrong" (Code: 112).
     Test succeeded (0.1 ms).
 12) Matrix: Running success test "Successful delete row test" [mode: keep] (Code: 205).
     Test succeeded (0.1 ms).
 13) Matrix: Running success test "Successful delete row test" [mode: copy] (Code: 205).
     Test succeeded (0.3 ms).
 14) Matrix: Running error test "Wrong given matrix type" (Code: 106).
     Test succeeded (0.1 ms).
 15) Matrix: Running error test "Two given matrices with different dimensions" (Code: 107).
     Test succeeded (0.1 ms).
 16) Matrix: Running success test "Successful add test" [mode: keep] (Code: 206).
     Test succeeded (0.1 ms).
 17) Matrix: Running success test "Successful add test" [mode: copy] (Code: 206).
     Test succeeded (0.1 ms).
 18) Matrix: Running error test "Wrong given matrix type" (Code: 106).
     Test succeeded (0.3 ms).
 19) Matrix: Running error test "Two given matrices with different dimensions" (Code: 107).
     Test succeeded (0.1 ms).
 20) Matrix: Running success test "Successful subtract test" [mode: keep] (Code: 207).
     Test succeeded (0.2 ms).
 21) Matrix: Running success test "Successful subtract test" [mode: copy] (Code: 207).
     Test succeeded (0.4 ms).
 22) Matrix: Running error test "Given parameter is not a scalar" (Code: 109).
     Test succeeded (0.2 ms).
 23) Matrix: Running success test "Successful scalar multiplication test" [mode: keep] (Code: 208).
     Test succeeded (0.3 ms).
 24) Matrix: Running success test "Successful scalar multiplication test" [mode: copy] (Code: 208).
     Test succeeded (0.2 ms).
 25) Matrix: Running error test "Two given matrices with different dimensions" (Code: 107).
     Test succeeded (0.1 ms).
 26) Matrix: Running success test "Successful multiplication test" [mode: keep] (Code: 210).
     Test succeeded (0.2 ms).
 27) Matrix: Running success test "Successful multiplication test" [mode: copy] (Code: 210).
     Test succeeded (0.2 ms).
 28) Matrix: Running success test "Successful multiplication test with a vector" [mode: keep] (Code: 211).
     Test succeeded (0.1 ms).
 29) Matrix: Running success test "Successful multiplication test with a vector" [mode: copy] (Code: 211).
     Test succeeded (0.2 ms).
 30) Matrix: Running success test "Successful transpose test" [mode: keep] (Code: 209).
     Test succeeded (0.1 ms).
 31) Matrix: Running success test "Successful transpose test" [mode: copy] (Code: 209).
     Test succeeded (0.1 ms).
 32) Matrix: Running error test "The matrix is not quadratic" (Code: 108).
     Test succeeded (0.1 ms).
 33) Matrix: Running success test "Successful determinant test" (Code: 212).
     Test succeeded (0.1 ms).
 34) Matrix: Running success test "Successful determinant test" (Code: 212).
     Test succeeded (0.2 ms).
 35) Matrix: Running success test "Successful determinant test" (Code: 212).
     Test succeeded (0.9 ms).
 36) Matrix: Running success test "Successful inverse test" [mode: keep] (Code: 213).
     Test succeeded (0.3 ms).
 37) Matrix: Running success test "Successful inverse test" [mode: copy] (Code: 213).
     Test succeeded (0.1 ms).
 38) Matrix: Running success test "Successful manipulate test: shift col" [mode: keep] (Code: 214).
     Test succeeded (0.1 ms).
 39) Matrix: Running success test "Successful manipulate test: shift col" [mode: copy] (Code: 214).
     Test succeeded (0.2 ms).
 40) Matrix: Running success test "Successful manipulate test: shift row" [mode: keep] (Code: 215).
     Test succeeded (0.2 ms).
 41) Matrix: Running success test "Successful manipulate test: shift row" [mode: copy] (Code: 215).
     Test succeeded (0.1 ms).
 
-----------------------------------------------------------------
RESULT
-> All test succeeded (12.1 ms) [success: 41; error: 0; all: 41].
-----------------------------------------------------------------

A. Authors

• Björn Hempel bjoern@hempel.li - Initial work - https://github.com/bjoern-hempel

B. License

This library is licensed under the MIT License - see the LICENSE.md file for details