mirror of
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117 lines
5.2 KiB
JavaScript
117 lines
5.2 KiB
JavaScript
// test numerical functions
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var assert = require('assert');
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var math = require('../../math.js');
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// test det
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assert.equal(math.det(3), 3);
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assert.equal(math.det([5]), 5);
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assert.equal(math.det(math.range(2,2)), 2);
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assert.equal(math.det([[1,2],[3,4]]), -2);
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assert.equal(math.det(math.matrix([[1,2],[3,4]])), -2);
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assert.equal(math.det([
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[-2, 2, 3],
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[-1, 1, 3],
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[ 2, 0, -1]
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]), 6);
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assert.equal(math.det([
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[ 1, 4, 7],
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[ 3, 0, 5],
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[-1, 9, 11]
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]), -8);
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assert.equal(math.det(math.diag([4,-5,6])), -120);
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// test diag
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assert.deepEqual(math.diag([1,2,3]).valueOf(), [[1,0,0],[0,2,0],[0,0,3]]);
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assert.deepEqual(math.diag([1,2,3], 1).valueOf(), [[0,1,0,0],[0,0,2,0],[0,0,0,3]]);
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assert.deepEqual(math.diag([1,2,3], -1).valueOf(), [[0,0,0],[1,0,0],[0,2,0],[0,0,3]]);
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assert.deepEqual(math.diag([[1,2,3],[4,5,6]]).valueOf(), [1,5]);
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assert.deepEqual(math.diag([[1,2,3],[4,5,6]],1).valueOf(), [2,6]);
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assert.deepEqual(math.diag([[1,2,3],[4,5,6]],-1).valueOf(), [4]);
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assert.deepEqual(math.diag([[1,2,3],[4,5,6]],-2).valueOf(), []);
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assert.deepEqual(math.diag(math.range(1,3)).valueOf(), [[1,0,0],[0,2,0],[0,0,3]]);
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assert.throws(function () {math.diag([[[1],[2]],[[3],[4]]])});
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// TODO: test diag for all types of input (also scalar)
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// test eye
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assert.deepEqual(math.eye().valueOf(), [[1]]);
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assert.deepEqual(math.eye([]).valueOf(), [[1]]);
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assert.deepEqual(math.eye(1).valueOf(), [[1]]);
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assert.deepEqual(math.eye(2).valueOf(), [[1,0],[0,1]]);
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assert.deepEqual(math.eye([2]).valueOf(), [[1,0],[0,1]]);
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assert.deepEqual(math.eye(2,3).valueOf(), [[1,0,0],[0,1,0]]);
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assert.deepEqual(math.eye(3,2).valueOf(), [[1,0],[0,1],[0,0]]);
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assert.deepEqual(math.eye([3,2]).valueOf(), [[1,0],[0,1],[0,0]]);
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assert.deepEqual(math.eye(math.matrix([3,2])).valueOf(), [[1,0],[0,1],[0,0]]);
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assert.deepEqual(math.eye(math.matrix([[3],[2]])).valueOf(), [[1,0],[0,1],[0,0]]);
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assert.deepEqual(math.eye(3,3).valueOf(), [[1,0,0],[0,1,0],[0,0,1]]);
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assert.throws(function () {math.eye(3,3,2);});
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assert.throws(function () {math.eye([3,3,2]);});
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// test ones
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assert.deepEqual(math.ones().valueOf(), [[1]]);
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assert.deepEqual(math.ones([]).valueOf(), [[1]]);
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assert.deepEqual(math.ones(3).valueOf(), [[1,1,1],[1,1,1],[1,1,1]]);
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assert.deepEqual(math.ones(2,3).valueOf(), [[1,1,1],[1,1,1]]);
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assert.deepEqual(math.ones(3,2).valueOf(), [[1,1],[1,1],[1,1]]);
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assert.deepEqual(math.ones([3,2]).valueOf(), [[1,1],[1,1],[1,1]]);
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assert.deepEqual(math.ones(math.matrix([3,2])).valueOf(), [[1,1],[1,1],[1,1]]);
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assert.deepEqual(math.ones(math.matrix([[[3]],[[2]]])).valueOf(), [[1,1],[1,1],[1,1]]);
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assert.deepEqual(math.ones(2,2,2).valueOf(), [[[1,1],[1,1]],[[1,1],[1,1]]]);
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assert.deepEqual(math.ones([2,2,2]).valueOf(), [[[1,1],[1,1]],[[1,1],[1,1]]]);
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a = math.matrix([[1, 2, 3], [4, 5, 6]]);
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assert.deepEqual(math.ones(math.size(a)).size(), a.size());
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// test size
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assert.deepEqual(math.size([[1,2,3],[4,5,6]]), [2,3]);
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assert.deepEqual(math.size([[[1,2],[3,4]],[[5,6],[7,8]]]), [2,2,2]);
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assert.deepEqual(math.size([1,2,3]), [3]);
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assert.deepEqual(math.size([[1],[2],[3]]), [3,1]);
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assert.deepEqual(math.size(100), []);
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assert.deepEqual(math.size([100]), [1]);
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assert.deepEqual(math.size([[100]]), [1,1]);
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assert.deepEqual(math.size([[[100]]]), [1,1,1]);
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assert.deepEqual(math.size([]), [0]);
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assert.deepEqual(math.size([[]]), [0,0]);
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assert.deepEqual(math.size([[[]]]), [0,0,0]);
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assert.deepEqual(math.size('hello'), [5]);
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assert.deepEqual(math.size(''), [0]);
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assert.deepEqual(math.size(math.complex(2,3)), []);
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assert.deepEqual(math.size(null), []);
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assert.deepEqual(math.size(math.matrix()), [0]);
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assert.deepEqual(math.size(math.range(2,5)), [4]);
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// TODO: test whether math.size throws an error in case of invalid data or size
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// test squeeze
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m = math.ones(1,3,2);
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assert.deepEqual(math.size(m).valueOf(), [1,3,2]);
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assert.deepEqual(math.size(math.squeeze(m)).valueOf(), [3,2]);
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m = math.ones(3,1,1);
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assert.deepEqual(math.size(m).valueOf(), [3,1,1]);
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assert.deepEqual(math.size(math.squeeze(m)).valueOf(), [3]);
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assert.deepEqual(math.squeeze(2.3), 2.3);
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assert.deepEqual(math.size(math.squeeze(math.range(1,5))), [5]);
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// test transpose
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assert.deepEqual(math.transpose(3), 3);
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assert.deepEqual(math.transpose([1,2,3]), [1,2,3]);
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assert.deepEqual(math.transpose([[1,2,3],[4,5,6]]), [[1,4],[2,5],[3,6]]);
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assert.deepEqual(math.transpose([[1,2],[3,4]]), [[1,3],[2,4]]);
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assert.deepEqual(math.transpose([[1,2,3,4]]), [[1],[2],[3],[4]]);
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assert.deepEqual(math.transpose([[]]), [[]]);
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assert.throws(function () {math.transpose([[[1],[2]],[[3],[4]]])});
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// test zeros
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assert.deepEqual(math.zeros().valueOf(), [[0]]);
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assert.deepEqual(math.zeros([]).valueOf(), [[0]]);
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assert.deepEqual(math.zeros(3).valueOf(), [[0,0,0],[0,0,0],[0,0,0]]);
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assert.deepEqual(math.zeros(2,3).valueOf(), [[0,0,0],[0,0,0]]);
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assert.deepEqual(math.zeros(3,2).valueOf(), [[0,0],[0,0],[0,0]]);
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assert.deepEqual(math.zeros([3,2]).valueOf(), [[0,0],[0,0],[0,0]]);
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assert.deepEqual(math.zeros(math.matrix([3,2])).valueOf(), [[0,0],[0,0],[0,0]]);
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assert.deepEqual(math.zeros(math.matrix([[[3]],[[2]]])).valueOf(), [[0,0],[0,0],[0,0]]);
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assert.deepEqual(math.zeros(2,2,2).valueOf(), [[[0,0],[0,0]],[[0,0],[0,0]]]);
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assert.deepEqual(math.zeros([2,2,2]).valueOf(), [[[0,0],[0,0]],[[0,0],[0,0]]]);
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var a = math.matrix([[1, 2, 3], [4, 5, 6]]);
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assert.deepEqual(math.zeros(math.size(a)).size(), a.size());
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