mirror of
https://github.com/josdejong/mathjs.git
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f79fec6db5
* fix toTex(): remove row delimiter on the last row * remove row delimiter on the last row (use map and join instead of forEach) * fix ArrayNode.toTex() unit tests incorrectly expecting a row delimiter on the last row * added toTex() tests for nested cases * fixed ArrayNode.toTex() for nested cases * removed redunant variable
94 lines
3.8 KiB
JavaScript
94 lines
3.8 KiB
JavaScript
import assert from 'assert'
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import math from '../../../../src/defaultInstance.js'
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const dot = math.dot
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const matrix = math.matrix
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const sparse = math.sparse
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const complex = math.complex
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describe('dot', function () {
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it('should calculate dot product for two 1-dim arrays', function () {
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assert.strictEqual(dot([2, 4, 1], [2, 2, 3]), 15)
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assert.strictEqual(dot([7, 3], [2, 4]), 26)
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})
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it('should calculate dot product for two column arrays', function () {
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assert.strictEqual(dot([[2], [4], [1]], [[2], [2], [3]]), 15)
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assert.strictEqual(dot([[7], [3]], [[2], [4]]), 26)
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})
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it('should calculate dot product for two 1-dim vectors', function () {
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assert.strictEqual(dot(matrix([2, 4, 1]), matrix([2, 2, 3])), 15)
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assert.strictEqual(dot(matrix([7, 3]), matrix([2, 4])), 26)
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})
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it('should calculate dot product for two column vectors', function () {
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assert.strictEqual(dot(matrix([[2], [4], [1]]), matrix([[2], [2], [3]])), 15)
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assert.strictEqual(dot(matrix([[7], [3]]), matrix([[2], [4]])), 26)
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})
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it('should calculate dot product for mixed 1-dim arrays and column arrays', function () {
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assert.strictEqual(dot([2, 4, 1], [[2], [2], [3]]), 15)
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assert.strictEqual(dot([[7], [3]], [2, 4]), 26)
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})
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it('should calculate dot product for mixed 1-dim arrays and 1-dim vectors', function () {
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assert.strictEqual(dot([2, 4, 1], matrix([2, 2, 3])), 15)
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assert.strictEqual(dot(matrix([7, 3]), [2, 4]), 26)
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})
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it('should calculate dot product for mixed 1-dim arrays and column vectors', function () {
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assert.strictEqual(dot([2, 4, 1], matrix([[2], [2], [3]])), 15)
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assert.strictEqual(dot(matrix([[7], [3]]), [2, 4]), 26)
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})
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it('should calculate dot product for mixed column arrays and 1-dim vectors', function () {
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assert.strictEqual(dot([[2], [4], [1]], matrix([2, 2, 3])), 15)
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assert.strictEqual(dot(matrix([7, 3]), [[2], [4]]), 26)
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})
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it('should calculate dot product for mixed column arrays and column vectors', function () {
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assert.strictEqual(dot([[2], [4], [1]], matrix([[2], [2], [3]])), 15)
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assert.strictEqual(dot(matrix([[7], [3]]), [[2], [4]]), 26)
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})
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it('should calculate dot product for mixed 1-dim vectors and column vectors', function () {
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assert.strictEqual(dot(matrix([2, 4, 1]), matrix([[2], [2], [3]])), 15)
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assert.strictEqual(dot(matrix([[7], [3]]), matrix([2, 4])), 26)
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})
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it('should calculate dot product for sparse vectors', function () {
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assert.strictEqual(dot(sparse([0, 0, 2, 4, 4, 1]), sparse([1, 0, 2, 2, 0, 3])), 15)
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assert.strictEqual(dot(sparse([7, 1, 2, 3]), sparse([2, 0, 0, 4])), 26)
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})
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it('should throw an error for unsupported types of arguments', function () {
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assert.throws(function () { dot([2, 4, 1], 2) }, TypeError)
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})
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it('should throw an error for multi dimensional matrix input', function () {
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assert.throws(function () { dot([[1, 2], [3, 4]], [[1, 2], [3, 4]]) }, /Expected a column vector, instead got a matrix of size \(2, 2\)/)
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})
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it('should throw an error in case of vectors with unequal length', function () {
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assert.throws(function () { dot([2, 3], [1, 2, 3]) }, /Vectors must have equal length \(2 != 3\)/)
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})
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it('should throw an error in case of empty vectors', function () {
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assert.throws(function () { dot([], []) }, /Cannot calculate the dot product of empty vectors/)
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})
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it('should LaTeX dot', function () {
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const expression = math.parse('dot([1,2],[3,4])')
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assert.strictEqual(expression.toTex(), '\\left(\\begin{bmatrix}1\\\\2\\end{bmatrix}\\cdot\\begin{bmatrix}3\\\\4\\end{bmatrix}\\right)')
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})
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it('should be antilinear in the first argument', function () {
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const I = complex(0, 1)
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assert.deepStrictEqual(dot([I, 2], [1, I]), I)
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const v = matrix([2, I, 1])
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assert.deepStrictEqual(dot(v, v).sqrt(), complex(math.norm(v)))
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})
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})
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