mathjs/test/function/matrix/expm.test.js
greenkeeper[bot] c5971b371a Update standard to the latest version 🚀 (#1226)
* chore(package): update standard to version 12.0.0

* update to new lint version with --fix

I believe this mainly adds whitespace to `{}`'s.

* Replace assert.equal with assert.strictEqual

This breaks a lot of tests which I will endevour to fix in the next
commits.

* Fix most errors due to assert.strictEquals

Some instances of `strictEquals` are replaced by `deepEquals`.
`toString` has been used to make some string comparisions explicit.
Tests will still fail untill #1236 and #1237 are fixed.

* Fix assertion erros due to -0

With node 10, assert.strictEqual no longer considers `0 === -0`.
I missed these first time round as I was using node 8.

* Put toString correct side of bracket

I was converting the constructor to a string rather
than the result of the computation. Oops.

* Fixed #1236: quantileSeq has inconsistant return

* Update package-lock

* Fixed #1237: norm sometimes returning a complex number instead of number

* Fix cli tests

* More changes for standardjs, and fixes in unit tests
2018-09-08 16:33:58 +02:00

93 lines
2.1 KiB
JavaScript

// test expm
const assert = require('assert')
const approx = require('../../../tools/approx')
const math = require('../../../src/main')
const expm = math.expm
describe('expm', function () {
it('should only accept a square matrix', function () {
assert.throws(function () { expm(5) }, /Unexpected type/)
assert.throws(function () { expm([1, 2]) }, /Matrix must be square/)
assert.throws(function () { expm([[1, 2]]) }, /Matrix must be square/)
assert.throws(function () { expm([[1, 2, 3], [4, 5, 6]]) }, /Matrix must be square/)
})
it('should compute the exponential of a matrix', function () {
// Trivial example
approx.deepEqual(expm(
[[1, 0],
[0, 1]]
),
math.matrix(
[[2.718281828, 0],
[0, 2.718281828]]
))
// Example given in the Moler and Van Loan paper
approx.deepEqual(expm(
[[-49, 24],
[-64, 31]]
),
math.matrix(
[[-0.735759, 0.551819],
[-1.471518, 1.103638]]
))
// Another example from the same paper
approx.deepEqual(expm(
[[0, 6, 0, 0],
[0, 0, 6, 0],
[0, 0, 0, 6],
[0, 0, 0, 0]]
),
math.matrix(
[[1, 6, 18, 36],
[0, 1, 6, 18],
[0, 0, 1, 6],
[0, 0, 0, 1]]
))
// And another
approx.deepEqual(expm(
[[1, 1],
[0, 1]]
),
math.matrix(
[[2.718282, 2.718282],
[0, 2.718282]]
))
// And another
approx.deepEqual(expm(
[[1 + 1e-5, 1],
[0, 1 - 1e-5]]
),
math.matrix(
[[2.718309, 2.718282],
[0, 2.718255]]
))
})
it('should work on SparseMatrix', function () {
approx.deepEqual(expm(
math.sparse(
[[0, 6, 0, 0],
[0, 0, 6, 0],
[0, 0, 0, 6],
[0, 0, 0, 0]]
)
),
math.sparse(
[[1, 6, 18, 36],
[0, 1, 6, 18],
[0, 0, 1, 6],
[0, 0, 0, 1]]
))
})
it('should LaTeX transpose', function () {
const expression = math.parse('expm([[1,2],[3,4]])')
assert.strictEqual(expression.toTex(), '\\exp\\left(\\begin{bmatrix}1&2\\\\3&4\\\\\\end{bmatrix}\\right)')
})
})