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122 lines
3.0 KiB
JavaScript
122 lines
3.0 KiB
JavaScript
// test usolve
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import assert from 'assert'
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import { approxDeepEqual } from '../../../../../tools/approx.js'
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import math from '../../../../../src/defaultInstance.js'
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describe('usolve', function () {
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it('should solve linear system 4 x 4, arrays', function () {
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const m =
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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]
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const b = [1, 2, 3, 4]
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const x = math.usolve(m, b)
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approxDeepEqual(x, [[-1], [-1], [-1], [4]])
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})
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it('should solve linear system 4 x 4, array and column array', function () {
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const m =
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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]
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const b = [
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[1],
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[2],
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[3],
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[4]
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]
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const x = math.usolve(m, b)
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approxDeepEqual(x, [[-1], [-1], [-1], [4]])
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})
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it('should solve linear system 4 x 4, matrices', function () {
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const m = math.matrix(
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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])
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const b = math.matrix([1, 2, 3, 4])
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const x = math.usolve(m, b)
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assert(x instanceof math.Matrix)
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approxDeepEqual(x, math.matrix([[-1], [-1], [-1], [4]]))
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})
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it('should solve linear system 4 x 4, sparse matrices', function () {
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const m = math.sparse(
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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])
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const b = math.matrix([[1], [2], [3], [4]], 'sparse')
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const x = math.usolve(m, b)
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assert(x instanceof math.Matrix)
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approxDeepEqual(x, math.matrix([[-1], [-1], [-1], [4]]))
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})
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it('should solve linear system 4 x 4, matrix and column matrix', function () {
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const m = math.matrix(
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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])
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const b = math.matrix([
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[1],
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[2],
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[3],
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[4]
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])
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const x = math.usolve(m, b)
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assert(x instanceof math.Matrix)
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approxDeepEqual(x, math.matrix([[-1], [-1], [-1], [4]]))
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})
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it('should solve linear system 4 x 4, sparse matrix and column matrix', function () {
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const m = math.matrix(
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[
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[1, 1, 1, 1],
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[0, 1, 1, 1],
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[0, 0, 1, 1],
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[0, 0, 0, 1]
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], 'sparse')
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const b = math.matrix([
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[1],
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[2],
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[3],
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[4]
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], 'sparse')
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const x = math.usolve(m, b)
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assert(x instanceof math.Matrix)
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approxDeepEqual(x, math.matrix([[-1], [-1], [-1], [4]]))
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})
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it('should throw exception when matrix is singular', function () {
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assert.throws(function () { math.usolve([[1, 1], [0, 0]], [1, 1]) }, /Error: Linear system cannot be solved since matrix is singular/)
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assert.throws(function () { math.usolve(math.matrix([[1, 1], [0, 0]], 'dense'), [1, 1]) }, /Error: Linear system cannot be solved since matrix is singular/)
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assert.throws(function () { math.usolve(math.matrix([[1, 1], [0, 0]], 'sparse'), [1, 1]) }, /Error: Linear system cannot be solved since matrix is singular/)
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})
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})
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