fix #134, run formatter

[Dakkers]

don't be scared by the huge number of additions and deletions! the only new content is the following:

• matrix and vector transpose methods: transposeRowVector, transposeColumnVector, transposeMatrix (fix to matrix.transpose doesn't work correctly on vectors #134)
• matrix and vector multiplication methods: multiplyMatMat, multiplyMatVec, multiplyVecMat (helps to fix matrix.transpose doesn't work correctly on vectors #134)
• added .jshintrc
• updated gulp-jsbeautifier to make sure that npm run format doesn't change the indentation to 4 spaces

everything else is just npm run format doing its thing.

@LarryBattle @KartikTalwar it'd be cool if you could look at the 2 first things I mentioned.

[LarryBattle]

I did a quick run through and it looks good so far.
I'll try to do another pass to double check the logic.

Great job!

Github tip: Add ?w=1 to the end of the url when comparing diffs to ignore white space.
Ex for this pull request https://github.com/sjkaliski/numbers.js/pull/135/files?w=1

More Github secrets here: https://github.com/tiimgreen/github-cheat-sheet

[Dakkers]

ignoring whitespace in diffs makes a huge difference in these commits, holy shet

[Dakkers]

ping @LarryBattle

[LarryBattle]

The only suggestion I have right now is that matrix.transpose() should have more test cases.
Otherwise it looks good.

[Dakkers]

transposeColumnVector should only take column vectors as arguments, not matrices. a transposed column vector should be a row vector. IMO a row vector should be like [1,0,0], not [ [1, 0, 0] ] like what is currently returned. example:

// old version
matrix.transposeColumnVector([[1], [2], [3]])
// [ [1, 2, 3] ]

// new version
matrix.transposeColumnVector([[1],[2],[3]])
// [1, 2, 3]

[Dakkers]

I could make transposeColumnVector and transposeRowVector throw errors if given the wrong kinds of vectors.

[LarryBattle]

I think the old version is just fine. transposeColumnVector and transposeRowVector really should be private methods since their sole purpose is to optimize matrix.transpose().

[Dakkers]

I disagree. the intuitive way of thinking of a row vector is [1,0,0] as seen in numpy (arrays) and MATLAB and most other languages, and not [ [1,0, 0] ].

if one does in fact prefer it to represent a row vector as [ [1, 0, 0] ] then my transpose function will correctly return [ [1], [0], [0] ]. it will not work the other way though unless I add in a flag that will tell it to, which is easily doable.

I agree with that to an extent. however, for a micro-optimization, one could call these methods directly instead. not sure if that's needed.

[Dakkers]

although, the problem with that is that other functions may not return what the person expected. perhaps a setting, like EPSILON, that would format the vectors correctly in all functions.

[Dakkers]

will be closing this PR for reasons I'll mention later today