forked from kscience/kmath
Added for list utilities for rational functions.
This commit is contained in:
Gleb Minaev
parent
64b33aed18
commit
c8b9951f46
@ -8,6 +8,7 @@ package space.kscience.kmath.functions
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import space.kscience.kmath.misc.UnstableKMathAPI
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import space.kscience.kmath.test.misc.Rational
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import space.kscience.kmath.test.misc.RationalField
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import kotlin.test.Ignore
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import kotlin.test.Test
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import kotlin.test.assertEquals
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import kotlin.test.assertFailsWith
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@ -16,7 +17,7 @@ import kotlin.test.assertFailsWith
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@OptIn(UnstableKMathAPI::class)
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class ListPolynomialUtilTest {
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@Test
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fun test_substitute_Double() {
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fun test_Polynomial_substitute_Double() {
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assertEquals(
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0.0,
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ListPolynomial(1.0, -2.0, 1.0).substitute(1.0),
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@ -49,7 +50,7 @@ class ListPolynomialUtilTest {
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)
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}
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@Test
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fun test_substitute_Constant() {
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fun test_Polynomial_substitute_Constant() {
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assertEquals(
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Rational(0),
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ListPolynomial(Rational(1), Rational(-2), Rational(1)).substitute(RationalField, Rational(1)),
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@ -81,7 +82,7 @@ class ListPolynomialUtilTest {
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)
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}
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@Test
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fun test_substitute_Polynomial() {
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fun test_Polynomial_substitute_Polynomial() {
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assertEquals(
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ListPolynomial(Rational(0)),
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ListPolynomial(Rational(1), Rational(-2), Rational(1)).substitute(RationalField, ListPolynomial(Rational(1))),
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@ -119,7 +120,717 @@ class ListPolynomialUtilTest {
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)
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}
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@Test
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fun test_derivative() {
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@Ignore // FIXME: This tests work only for sane realisations of the substitutions. Currently, it is not.
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// Sane algorithm for substitution p(q/r) (p, q, and r are polynomials) should make denominator r^deg(p),
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// not r^(deg(p)(deg(p)+1)/2) as it is now.
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fun test_Polynomial_substitute_RationalFunction() {
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assertEquals(
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ListRationalFunction(ListPolynomial(Rational(0)), ListPolynomial(Rational(1))),
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ListPolynomial(Rational(1), Rational(-2), Rational(1))
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.substitute(RationalField, ListRationalFunction(ListPolynomial(Rational(1)), ListPolynomial(Rational(1)))),
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"test 1"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(66349, 243),
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Rational(-17873, 405),
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Rational(173533, 3780),
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Rational(-91141, 567),
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Rational(5773909, 105840),
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Rational(-23243, 630),
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Rational(1573, 27)
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),
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ListPolynomial(
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Rational(169, 81),
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Rational(-130, 27),
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Rational(115, 18),
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Rational(-797, 54),
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Rational(1985, 144),
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Rational(-55, 6),
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Rational(121, 9)
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)
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),
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ListPolynomial(
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Rational(13, 3),
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Rational(-9, 5),
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Rational(5, 5)
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).substitute(RationalField,
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ListRationalFunction(
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ListPolynomial(
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Rational(15, 1),
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Rational(6, 9),
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Rational(-3, 7)
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),
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ListPolynomial(
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Rational(-13, 9),
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Rational(10, 6),
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Rational(-10, 8),
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Rational(11, 3)
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)
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)
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),
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"test 2"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(0, 1),
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Rational(0, 1),
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Rational(-14, 9),
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Rational(31, 14),
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Rational(-5077, 980),
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Rational(99, 35)
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),
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ListPolynomial(
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Rational(0, 1),
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Rational(0, 1),
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Rational(25, 9),
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Rational(-25, 6),
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Rational(1985, 144),
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Rational(-55, 6),
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Rational(121, 9)
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)
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),
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ListPolynomial(
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Rational(0),
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Rational(-9, 5),
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Rational(5, 5)
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).substitute(RationalField,
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ListRationalFunction(
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ListPolynomial(
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Rational(0),
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Rational(6, 9),
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Rational(-3, 7)
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),
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ListPolynomial(
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Rational(0),
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Rational(10, 6),
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Rational(-10, 8),
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Rational(11, 3)
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)
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)
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),
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"test 3"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(-898, 27),
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Rational(271, 45),
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Rational(-65, 12) ,
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(0)
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),
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ListPolynomial(
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Rational(-13, 9),
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Rational(5, 3),
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Rational(-5, 4) ,
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(0)
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)
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),
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ListPolynomial(
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Rational(13, 3),
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Rational(-9, 5),
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Rational(0)
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).substitute(RationalField,
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ListRationalFunction(
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ListPolynomial(
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Rational(15, 1),
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Rational(6, 9),
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Rational(0)
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),
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ListPolynomial(
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Rational(-13, 9),
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Rational(10, 6),
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Rational(-10, 8),
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Rational(0)
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)
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)
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),
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"test 4"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(56872, 243),
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Rational(0, 1),
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Rational(-90, 7),
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Rational(-3718, 81),
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Rational(9, 49),
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Rational(0, 1),
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Rational(1573, 27)
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),
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ListPolynomial(
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Rational(169, 81),
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Rational(0, 1),
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Rational(0, 1),
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Rational(-286, 27),
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Rational(0, 1),
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Rational(0, 1),
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Rational(121, 9)
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)
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),
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ListPolynomial(
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Rational(13, 3),
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Rational(0),
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Rational(5, 5)
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).substitute(RationalField,
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ListRationalFunction(
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ListPolynomial(
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Rational(15, 1),
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Rational(0),
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Rational(-3, 7)
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),
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ListPolynomial(
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Rational(-13, 9),
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Rational(0),
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Rational(0),
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Rational(11, 3)
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)
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)
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),
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"test 5"
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)
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}
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@Test
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fun test_RationalFunction_substitute_Double() {
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assertEquals(
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0.0,
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ListRationalFunction(
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ListPolynomial(1.0, -2.0, 1.0),
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ListPolynomial(-6.302012278484357, 5.831971885376948, -9.271604788393432, 5.494387848015814, -3.7187384450880785)
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).substitute(1.0),
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0.001,
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"test 1"
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)
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assertEquals(
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2.693702616649797,
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ListRationalFunction(
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ListPolynomial(-5.848840571263625, -1.660411278951134, -3.793740946372443, -9.624569269490076),
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ListPolynomial(-2.9680680215311073, -1.862973627119981, 4.776550592888336, -2.7320154512368466)
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).substitute(-7.53452770353279),
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0.001,
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"test 2"
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)
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assertEquals(
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2.692226268901378,
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ListRationalFunction(
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ListPolynomial(0.0, -1.660411278951134, -3.793740946372443, -9.624569269490076),
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ListPolynomial(0.0, -1.862973627119981, 4.776550592888336, -2.7320154512368466)
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).substitute(-7.53452770353279),
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0.001,
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"test 3"
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)
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assertEquals(
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-0.7394904842099175,
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ListRationalFunction(
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ListPolynomial(-5.848840571263625, -1.660411278951134, -3.793740946372443, 0.0),
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ListPolynomial(-2.9680680215311073, -1.862973627119981, 4.776550592888336, 0.0)
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).substitute(-7.53452770353279),
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0.001,
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"test 4"
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)
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assertEquals(
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3.526835209398159,
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ListRationalFunction(
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ListPolynomial(-5.848840571263625, 0.0, 0.0, -9.624569269490076),
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ListPolynomial(-2.9680680215311073, 0.0, 0.0, -2.7320154512368466)
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).substitute(-7.53452770353279),
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0.001,
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"test 5"
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)
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}
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@Test
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fun test_RationalFunction_substitute_Constant() {
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assertEquals(
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Rational(0),
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ListRationalFunction(
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ListPolynomial(Rational(1), Rational(-2), Rational(1)),
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ListPolynomial(Rational(1)),
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).substitute(RationalField, Rational(1)),
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"test 1"
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)
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assertEquals(
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Rational(1149615, 61306),
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ListRationalFunction(
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ListPolynomial(Rational(17, 7), Rational(18, 3), Rational(18, 8), Rational(9, 1)),
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ListPolynomial(Rational(11, 9), Rational(-6, 5), Rational(-12, 7), Rational(2, 1)),
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).substitute(RationalField, Rational(-7, 8)),
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"test 2"
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)
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assertEquals(
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Rational(3495, 586),
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ListRationalFunction(
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ListPolynomial(Rational(0), Rational(18, 3), Rational(18, 8), Rational(9, 1)),
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ListPolynomial(Rational(0), Rational(-6, 5), Rational(-12, 7), Rational(2, 1)),
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).substitute(RationalField, Rational(-7, 8)),
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"test 3"
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)
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assertEquals(
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Rational(-88605, 77392),
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ListRationalFunction(
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ListPolynomial(Rational(17, 7), Rational(18, 3), Rational(18, 8), Rational(0)),
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ListPolynomial(Rational(11, 9), Rational(-6, 5), Rational(-12, 7), Rational(0)),
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).substitute(RationalField, Rational(-7, 8)),
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"test 4"
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)
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assertEquals(
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Rational(116145, 3794),
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ListRationalFunction(
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ListPolynomial(Rational(17, 7), Rational(0), Rational(0), Rational(9, 1)),
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ListPolynomial(Rational(11, 9), Rational(0), Rational(0), Rational(2, 1)),
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).substitute(RationalField, Rational(-7, 8)),
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"test 5"
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)
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}
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@Test
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fun test_RationalFunction_substitute_Polynomial() {
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assertEquals(
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ListRationalFunction(
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ListPolynomial(Rational(0)),
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ListPolynomial(Rational(1))
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),
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ListRationalFunction(
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ListPolynomial(Rational(1), Rational(-2), Rational(1)),
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ListPolynomial(Rational(1)),
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).substitute(RationalField, ListPolynomial(Rational(1))),
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"test 1"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(-283303, 36),
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Rational(-23593, 24),
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Rational(368713, 192),
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Rational(1455, 8),
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Rational(-272171, 1536),
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Rational(-2149, 192),
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Rational(469, 64),
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Rational(11, 48),
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Rational(-11, 96)
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),
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ListPolynomial(
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Rational(5797, 12),
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Rational(595, 16),
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Rational(-5285, 72),
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Rational(-745, 192),
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Rational(1105, 288),
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Rational(5, 48),
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Rational(-5, 72)
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)
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),
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ListRationalFunction(
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ListPolynomial(
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Rational(2, 9),
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Rational(11, 3),
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Rational(-9, 4),
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Rational(-6, 1),
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Rational(-11, 6)
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),
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ListPolynomial(
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Rational(-2, 3),
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Rational(-15, 4),
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Rational(5, 9),
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Rational(-5, 9)
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)
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).substitute(RationalField,
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ListPolynomial(
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Rational(-9, 1),
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Rational(-1, 4),
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Rational(2, 4)
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)
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),
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"test 2"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(0, 1),
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Rational(-11, 12),
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Rational(325, 192),
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Rational(21, 32),
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Rational(-1739, 1536),
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Rational(227, 192),
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Rational(-59, 64),
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Rational(11, 48),
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Rational(-11, 96)
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),
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ListPolynomial(
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Rational(0, 1),
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Rational(15, 16),
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Rational(-265, 144),
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Rational(-25, 192),
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Rational(25, 288),
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Rational(5, 48),
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Rational(-5, 72)
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)
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),
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ListRationalFunction(
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ListPolynomial(
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Rational(0, 9),
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Rational(11, 3),
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Rational(-9, 4),
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Rational(-6, 1),
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Rational(-11, 6)
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),
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ListPolynomial(
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Rational(0, 3),
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Rational(-15, 4),
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Rational(5, 9),
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Rational(-5, 9)
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)
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).substitute(RationalField,
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ListPolynomial(
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Rational(0, 1),
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Rational(-1, 4),
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Rational(2, 4)
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)
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),
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"test 3"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(149723, 36),
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Rational(8483, 24),
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Rational(639, 64),
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Rational(3, 32),
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(0)
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),
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ListPolynomial(
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Rational(937, 12),
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Rational(55, 16),
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Rational(5, 144),
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(0)
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)
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),
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ListRationalFunction(
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ListPolynomial(
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Rational(2, 9),
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Rational(11, 3),
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Rational(-9, 4),
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Rational(-6, 1),
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Rational(0)
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),
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ListPolynomial(
|
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Rational(-2, 3),
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Rational(-15, 4),
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Rational(5, 9),
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Rational(0)
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)
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).substitute(RationalField,
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ListPolynomial(
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Rational(-9, 1),
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Rational(-1, 4),
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Rational(0)
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)
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),
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"test 4"
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)
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assertEquals(
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ListRationalFunction(
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ListPolynomial(
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Rational(-216509, 18),
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Rational(0, 1),
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Rational(2673, 1),
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Rational(0, 1),
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Rational(-891, 4),
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Rational(0, 1),
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Rational(33, 4),
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Rational(0, 1),
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Rational(-11, 96)
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),
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ListPolynomial(
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Rational(1213, 3),
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Rational(0, 1),
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Rational(-135, 2),
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Rational(0, 1),
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Rational(15, 4),
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Rational(0, 1),
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Rational(-5, 72)
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)
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),
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ListRationalFunction(
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ListPolynomial(
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Rational(2, 9),
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Rational(0),
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Rational(0),
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Rational(0),
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Rational(-11, 6)
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),
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ListPolynomial(
|
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Rational(-2, 3),
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Rational(0),
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Rational(0),
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Rational(-5, 9)
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)
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).substitute(RationalField,
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ListPolynomial(
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Rational(-9, 1),
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Rational(0),
|
||||
Rational(2, 4)
|
||||
)
|
||||
),
|
||||
"test 5"
|
||||
)
|
||||
}
|
||||
@Test
|
||||
@Ignore // FIXME: This tests work only for sane realisations of the substitutions. Currently, it is not.
|
||||
// Sane algorithm for substitution p(q/r) (p, q, and r are polynomials) should make denominator r^deg(p),
|
||||
// not r^(deg(p)(deg(p)+1)/2) as it is now.
|
||||
fun test_RationalFunction_substitute_RationalFunction() {
|
||||
assertEquals(
|
||||
ListRationalFunction(
|
||||
ListPolynomial(Rational(0)),
|
||||
ListPolynomial(Rational(1))
|
||||
),
|
||||
ListRationalFunction(
|
||||
ListPolynomial(Rational(1), Rational(-2), Rational(1)),
|
||||
ListPolynomial(Rational(1))
|
||||
).substitute(RationalField,
|
||||
ListRationalFunction(
|
||||
ListPolynomial(Rational(1)),
|
||||
ListPolynomial(Rational(1))
|
||||
)
|
||||
),
|
||||
"test 1"
|
||||
)
|
||||
assertEquals(
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(130087, 3888),
|
||||
Rational(-2866333, 65610),
|
||||
Rational(-5076229, 97200),
|
||||
Rational(222136997, 3280500),
|
||||
Rational(754719329, 20995200),
|
||||
Rational(-12010283, 324000),
|
||||
Rational(-2011967, 172800),
|
||||
Rational(18607, 2880),
|
||||
Rational(4705, 4096)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-143820355, 3779136),
|
||||
Rational(73886869, 1574640),
|
||||
Rational(1440175193, 15746400),
|
||||
Rational(-5308968857, 52488000),
|
||||
Rational(-186910083731, 2099520000),
|
||||
Rational(125043463, 1555200),
|
||||
Rational(5299123, 388800),
|
||||
Rational(-213757, 15360),
|
||||
Rational(1380785, 147456)
|
||||
)
|
||||
),
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(1, 1),
|
||||
Rational(-10, 5),
|
||||
Rational(18, 8),
|
||||
Rational(-8, 8)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-14, 8),
|
||||
Rational(-14, 8),
|
||||
Rational(-19, 6),
|
||||
Rational(14, 3),
|
||||
Rational(8, 9)
|
||||
)
|
||||
).substitute(RationalField,
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(14, 9),
|
||||
Rational(-2, 5),
|
||||
Rational(-14, 7)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-6, 4),
|
||||
Rational(5, 9),
|
||||
Rational(1, 8)
|
||||
)
|
||||
)
|
||||
),
|
||||
"test 2"
|
||||
)
|
||||
assertEquals(
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(5173, 18225),
|
||||
Rational(904291, 364500),
|
||||
Rational(283127, 43200),
|
||||
Rational(37189, 5760),
|
||||
Rational(147, 128)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(-163589, 911250),
|
||||
Rational(-881831, 291600),
|
||||
Rational(-10722229, 777600),
|
||||
Rational(-640921, 46080),
|
||||
Rational(86303, 9216)
|
||||
)
|
||||
),
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(0),
|
||||
Rational(-10, 5),
|
||||
Rational(18, 8),
|
||||
Rational(-8, 8)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(0),
|
||||
Rational(-14, 8),
|
||||
Rational(-19, 6),
|
||||
Rational(14, 3),
|
||||
Rational(8, 9)
|
||||
)
|
||||
).substitute(RationalField,
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(0),
|
||||
Rational(-2, 5),
|
||||
Rational(-14, 7)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(0),
|
||||
Rational(5, 9),
|
||||
Rational(1, 8)
|
||||
)
|
||||
)
|
||||
),
|
||||
"test 3"
|
||||
)
|
||||
assertEquals(
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(445, 16),
|
||||
Rational(-2011, 54),
|
||||
Rational(1359199, 72900),
|
||||
Rational(-135733, 32805),
|
||||
Rational(2254, 6561),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-2018387, 46656),
|
||||
Rational(82316437, 1574640),
|
||||
Rational(-9335047, 393660),
|
||||
Rational(15765889, 3280500),
|
||||
Rational(-242089, 656100),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1),
|
||||
Rational(0, 1)
|
||||
)
|
||||
),
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(1, 1),
|
||||
Rational(-10, 5),
|
||||
Rational(18, 8),
|
||||
Rational(0)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-14, 8),
|
||||
Rational(-14, 8),
|
||||
Rational(-19, 6),
|
||||
Rational(14, 3),
|
||||
Rational(0)
|
||||
)
|
||||
).substitute(RationalField,
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(14, 9),
|
||||
Rational(-2, 5),
|
||||
Rational(0)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-6, 4),
|
||||
Rational(5, 9),
|
||||
Rational(0)
|
||||
)
|
||||
)
|
||||
),
|
||||
"test 4"
|
||||
)
|
||||
assertEquals(
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(41635, 3888),
|
||||
Rational(0, 1),
|
||||
Rational(-279187, 11664),
|
||||
Rational(0, 1),
|
||||
Rational(103769, 3456),
|
||||
Rational(0, 1),
|
||||
Rational(-11017, 768),
|
||||
Rational(0, 1),
|
||||
Rational(4097, 4096)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-13811791, 3779136),
|
||||
Rational(0, 1),
|
||||
Rational(-9999395, 419904),
|
||||
Rational(0, 1),
|
||||
Rational(6376601, 124416),
|
||||
Rational(0, 1),
|
||||
Rational(-3668315, 82944),
|
||||
Rational(0, 1),
|
||||
Rational(2097089, 147456)
|
||||
)
|
||||
),
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(1, 1),
|
||||
Rational(0),
|
||||
Rational(0),
|
||||
Rational(-8, 8)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-14, 8),
|
||||
Rational(0),
|
||||
Rational(0),
|
||||
Rational(0),
|
||||
Rational(8, 9)
|
||||
)
|
||||
).substitute(RationalField,
|
||||
ListRationalFunction(
|
||||
ListPolynomial(
|
||||
Rational(14, 9),
|
||||
Rational(0),
|
||||
Rational(-14, 7)
|
||||
),
|
||||
ListPolynomial(
|
||||
Rational(-6, 4),
|
||||
Rational(0),
|
||||
Rational(1, 8)
|
||||
)
|
||||
)
|
||||
),
|
||||
"test 5"
|
||||
)
|
||||
}
|
||||
@Test
|
||||
fun test_Polynomial_derivative() {
|
||||
assertEquals(
|
||||
ListPolynomial(Rational(-2), Rational(2)),
|
||||
ListPolynomial(Rational(1), Rational(-2), Rational(1)).derivative(RationalField),
|
||||
@ -142,7 +853,7 @@ class ListPolynomialUtilTest {
|
||||
)
|
||||
}
|
||||
@Test
|
||||
fun test_nthDerivative() {
|
||||
fun test_Polynomial_nthDerivative() {
|
||||
assertEquals(
|
||||
ListPolynomial(Rational(-2), Rational(2)),
|
||||
ListPolynomial(Rational(1), Rational(-2), Rational(1)).nthDerivative(RationalField, 1),
|
||||
@ -188,7 +899,7 @@ class ListPolynomialUtilTest {
|
||||
)
|
||||
}
|
||||
@Test
|
||||
fun test_antiderivative() {
|
||||
fun test_Polynomial_antiderivative() {
|
||||
assertEquals(
|
||||
ListPolynomial(Rational(0), Rational(1), Rational(-1), Rational(1, 3)),
|
||||
ListPolynomial(Rational(1), Rational(-2), Rational(1)).antiderivative(RationalField),
|
||||
@ -211,7 +922,7 @@ class ListPolynomialUtilTest {
|
||||
)
|
||||
}
|
||||
@Test
|
||||
fun test_nthAntiderivative() {
|
||||
fun test_Polynomial_nthAntiderivative() {
|
||||
assertEquals(
|
||||
ListPolynomial(Rational(0), Rational(1), Rational(-1), Rational(1, 3)),
|
||||
ListPolynomial(Rational(1), Rational(-2), Rational(1)).nthAntiderivative(RationalField, 1),
|
||||
|
||||
Loading…
Reference in New Issue
Block a user