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feat(polynomialRoot): Complete implementation

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Glen Whitney 2022-12-01 12:40:05 -05:00
parent 269b9f5fc6
commit d76eddc7a5
11 changed files with 204 additions and 11 deletions
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33
test/complex/_polynomialRoot.mjs
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@ -1,4 +1,5 @@
import assert from 'assert'
import * as approx from '../../tools/approx.mjs'
import math from '../../src/pocomath.mjs'
describe('polynomialRoot', () => {
@ -29,6 +30,34 @@ describe('polynomialRoot', () => {
assert.deepEqual(
pRoot(complex(3, 1), -3, 1), tup(complex(1, 1), complex(2, -1)))
})
it('should solve a cubic with a triple root', function () {
assert.deepEqual(pRoot(8, 12, 6, 1), tup(-2))
assert.deepEqual(
pRoot(complex(-2, 11), complex(9, -12), complex(-6, 3), 1),
tup(complex(2, -1)))
})
it('should solve a cubic with one simple and one double root', function () {
assert.deepEqual(pRoot(4, 0, -3, 1), tup(-1, 2))
assert.deepEqual(
pRoot(complex(9, 9), complex(15, 6), complex(7, 1), 1),
tup(complex(-1, -1), -3))
assert.deepEqual(
pRoot(complex(0, 6), complex(6, 8), complex(5, 2), 1),
tup(-3, complex(-1, -1)))
assert.deepEqual(
pRoot(complex(2, 6), complex(8, 6), complex(5, 1), 1),
tup(complex(-3, 1), complex(-1, -1)))
})
it('should solve a cubic with three distinct roots', function () {
approx.deepEqual(pRoot(6, 11, 6, 1), tup(-3, -1, -2))
approx.deepEqual(
pRoot(-1, -2, 0, 1),
tup(-1, (1 + math.sqrt(5)) / 2, (1 - math.sqrt(5)) / 2))
approx.deepEqual(
pRoot(1, 1, 1, 1),
tup(-1, complex(0, -1), complex(0, 1)))
approx.deepEqual(
pRoot(complex(0, -10), complex(8, 12), complex(-6, -3), 1),
tup(complex(1, 1), complex(3, 1), complex(2, 1)))
})
})