Array.Math 0.1.4
Array.Math is a collection of calculation with arrays. You can do all kind of things with arrays. You can see them as data for statistic analysis, you can see them as vectors and matrices for linear algebra, or just use them for calculus like add, subtract and products or more advanced calculus with sequences.
The next steps are Vectors and Matrices. The aim is to be able to calculate eigenvalues and eigenvectors from a given Matrix. Singular Value Decomposition would be nice as well. To do this, JavaScript needs to be extended so it can handle Complex numbers, this can be found in Complex.js
To be sure all the methods work as expected, there is a Specs folder that contains some tests.
Details
 Author
 Arian Stolwijk
 Current version
 0.1.4
 GitHub
 arian/Array.Math
 Downloads
 9314
 Category
 Native
 Tags
 Report
 GitHub Issues
Releases
Dependencies

_self_/_current_:
 Core/Array
 Core/Class
 Core/Number
 Vector
 Complex/Complex
 Array.Math
How to use
Array:toNumbers
Transforms each value of the array to a number.
['1', '13', '300'].toNumbers(); // [1, 13, 300]
Array:sortNumbers
Sorts an array as numbers. The sort method usually transforms each value to a string and lexically compares the values. This will result that '10' will before '2'. This is a quick method to fix that.
[99, 2, 4, 40, 10].sortNumbers(); [2, 4, 10, 40, 99]
Array:sum
Sum all the entities of the array
[2, 5, 1, 6].sum(); // 14 [2, 5, 2, 7, 7, 12, 8].sum([start], [length])
Array:product
Get the product of the array and a number or an array with the same size
[2, 5, 6, 2].product(3); // [6, 15, 18, 6] [2, 5, 6, 2].product([3, 7, 1, 5]); // [5, 12, 7, 7]
Array:quotient
Get the quotient of the array and a number or an array with the same size
[9, 12, 15].quotient(3) // [3, 4, 5] [9, 12, 15].quotient(3, 4, 5) // [3, 3, 3]
Array:power
Get the power of each entity in the array
[3, 6, 2].power(3) // [27, 216, 8] [2, 2, 2].power([3, 4, 5]) // [8, 16, 32]
Array.add
Add a number to each entity in the array
[2, 5, 1].add(4) // [6, 9, 5] [2, 5, 1].add([1, 2, 3]) // [3, 7, 4]
Array:subtract
Subtract a number to each entity of the array
[6, 9, 5].subtract(4) // [2, 5, 1] [2, 7, 4].subtract([1, 2, 3]) // [1, 5, 1]
Array:count
Count the number of entities in the array
[1, 3 , 56, 3, 56].count() // 5
Array.range
Fill the array with a range of numbers
[].range(2, 5) // [2, 3, 4, 5] [].range(1, 8, 2) // [1, 3, 5, 7]
Array:sequence
Create a sequence
//A function with a return [].sequence(function(n){ return Math.pow(1, n); }, [start], [length]); // A recursive function without a return // Fibonacci [1, 1].sequence(function(n){ this[n + 2] = this[n] + this[n + 1]; }, [start], [length]);
Array:median
Find the median of a array of numbers
[1, 5, 2, 8, 7].median() // 5 [1, 5, 2, 8, 7, 2].median() // 3.5
Array:variance
Find the variance of an array of numbers
[3, 7, 7, 19].variance() // 36'
Array:stdDeviation
Find the standard deviation
[3, 7, 7, 19].stdDeviation() // 6
Array:transpose
Transpose the matrix (swap the rows and columns)
[ [1, 2, 3], [4, 5, 6], [7, 8, 9] ].transpose() // [ [1, 4, 7], [2, 5, 8], [3, 6, 9] ]
Array:dot
Find the dot product between two vectors
[1, 2, 3].dot([4, 5, 6]) // 32
Array:cross
Find the cross product between two vectors.
Tip, if you use this in combination with Array.vectorLength(), you will find the magnitude of the vector
[1, 2, 3].cross([4, 5, 6]) // [3, 6, 6] // Find the torque about A with arm r and force F // M = r x A var M = [1, 2, 1].cross([100, 145, 106]); // [67, 6, 6] var Mmagnitude = M.vectorLenght(); // 67.53517601961218
Array:projection
Find the projection of the array on a certain vector For example: you have a vector in a certain direction, and you want to know the vector projected on another vector, for example the vector that describes the x and the yaxis. This is usefull when you want to devide vector in components (for force analysis).
Tip, if you use this in combination with Array.vectorLength(), you will find the magnitude of the vector
[3, 3].projection([2, 0]) // [3,0] // Find the force along the xaxis in this 3d space [600, 263, 768].projection([1, 0, 0]); // [600, 0, 0] // Find the force along the line in the xyarea with slope 0.5 [600, 235, 267].projection([1, 0.5, 1]);
Array:determinant
Find the determinant of a 2 by 2 matrix
[[4, 6], [3, 5]].determinant() // 2
Array:vectorLength
Find the vector of a vector
[3, 6, 2].vectorLength() // 7 // Find the magnitude of the force [150, 300, 100] in the 3d space [150, 300, 100].vectorLength();
Array:normalize
Get the normalized vector, so that the vector length is 1
[8, 6].normalize() // [4/5, 3/5]
Array:angle
Find the angle between two vectors
[3, 7, 1].angle([3, 3, 6]) / Math.PI // 0.2798476073884561 pi
Array.slope()
Get the slope between two points (2d only, there isn't really such thing as a 3d slope)
[3, 4].slope([5, 8]) // 2
Array:distance()
Get the distance between two points (moredimensional)
[4, 1].distance([7, 5]) // 5
Discuss
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