diff --git a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/misc.kt b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/misc.kt index aba246519..76f1c294e 100644 --- a/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/misc.kt +++ b/kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/misc.kt @@ -17,6 +17,6 @@ package space.kscience.kmath.functions "But at the same time makes it easy to make a mistake " + "that will cause wrong computation result or even runtime error. " + "Make sure you fully read and understand documentation.", - level = RequiresOptIn.Level.WARNING + level = RequiresOptIn.Level.ERROR ) -internal annotation class DelicatePolynomialAPI \ No newline at end of file +public annotation class DelicatePolynomialAPI \ No newline at end of file diff --git a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/functions/NumberedPolynomialUtilTest.kt b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/functions/NumberedPolynomialUtilTest.kt index ecad6198e..8ece66145 100644 --- a/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/functions/NumberedPolynomialUtilTest.kt +++ b/kmath-functions/src/commonTest/kotlin/space/kscience/kmath/functions/NumberedPolynomialUtilTest.kt @@ -8,13 +8,14 @@ package space.kscience.kmath.functions import space.kscience.kmath.test.misc.Rational import space.kscience.kmath.test.misc.RationalField import space.kscience.kmath.test.misc.assertContentEquals +import kotlin.test.Ignore import kotlin.test.Test import kotlin.test.assertEquals class NumberedPolynomialUtilTest { @Test - fun test_substitute_Double_Map() { + fun test_Polynomial_substitute_Double_Map() { assertContentEquals( mapOf(emptyList() to 0.0), NumberedPolynomialAsIs( @@ -53,6 +54,34 @@ class NumberedPolynomialUtilTest { 0.001, "test 2" ) + assertContentEquals( + mapOf( + listOf() to 0.8597048543814783, + listOf(1u) to 0.22997637465889875, + listOf(2u) to 0.32675302591924016, + listOf(0u, 1u) to 0.4561746111587508, + listOf(1u, 1u) to 0.5304946210170756, + listOf(2u, 1u) to 0.6244313712888998, + listOf(0u, 2u) to 0.2700930201481795, + listOf(1u, 2u) to -0.06962351375204712, + listOf(2u, 2u) to -0.015206988092131501, + ), + NumberedPolynomialAsIs( + listOf() to 0.8597048543814783, + listOf(1u) to 0.22997637465889875, + listOf(2u) to 0.32675302591924016, + listOf(0u, 1u) to 0.4561746111587508, + listOf(1u, 1u) to 0.5304946210170756, + listOf(2u, 1u) to 0.6244313712888998, + listOf(0u, 2u) to 0.2700930201481795, + listOf(1u, 2u) to -0.06962351375204712, + listOf(2u, 2u) to -0.015206988092131501, + ).substitute(mapOf( + 5 to 0.9211194782050933 + )).coefficients, + 0.001, + "test 2'" + ) assertContentEquals( mapOf( listOf() to 0.8597048543814783, @@ -75,6 +104,29 @@ class NumberedPolynomialUtilTest { 0.001, "test 3" ) + assertContentEquals( + mapOf( + listOf() to 0.8597048543814783, + listOf(0u, 1u) to 0.4561746111587508, + listOf(0u, 2u) to 0.2700930201481795, + ), + NumberedPolynomialAsIs( + listOf() to 0.8597048543814783, + listOf(1u) to 0.22997637465889875, + listOf(2u) to 0.32675302591924016, + listOf(0u, 1u) to 0.4561746111587508, + listOf(1u, 1u) to 0.5304946210170756, + listOf(2u, 1u) to 0.6244313712888998, + listOf(0u, 2u) to 0.2700930201481795, + listOf(1u, 2u) to -0.06962351375204712, + listOf(2u, 2u) to -0.015206988092131501, + ).substitute(mapOf( + 0 to 0.0, + 5 to 0.9211194782050933 + )).coefficients, + 0.001, + "test 3'" + ) assertContentEquals( mapOf( listOf() to 1.433510890645169, @@ -97,6 +149,29 @@ class NumberedPolynomialUtilTest { 0.001, "test 4" ) + assertContentEquals( + mapOf( + listOf() to 1.433510890645169, + listOf(1u) to 0.6264844682514724, + listOf(2u) to 0.8405727903771333, + ), + NumberedPolynomialAsIs( + listOf() to 0.8597048543814783, + listOf(1u) to 0.22997637465889875, + listOf(2u) to 0.32675302591924016, + listOf(0u, 1u) to 0.4561746111587508, + listOf(1u, 1u) to 0.5304946210170756, + listOf(2u, 1u) to 0.6244313712888998, + listOf(0u, 2u) to 0.2700930201481795, + listOf(1u, 2u) to -0.06962351375204712, + listOf(2u, 2u) to -0.015206988092131501, + ).substitute(mapOf( + 1 to 0.8400458576651112, + 5 to 0.9211194782050933 + )).coefficients, + 0.001, + "test 4'" + ) assertContentEquals( mapOf( listOf() to 1.934530767358133, @@ -120,15 +195,7 @@ class NumberedPolynomialUtilTest { ) assertContentEquals( mapOf( - listOf() to 0.8597048543814783, - listOf(1u) to 0.22997637465889875, - listOf(2u) to 0.32675302591924016, - listOf(0u, 1u) to 0.4561746111587508, - listOf(1u, 1u) to 0.5304946210170756, - listOf(2u, 1u) to 0.6244313712888998, - listOf(0u, 2u) to 0.2700930201481795, - listOf(1u, 2u) to -0.06962351375204712, - listOf(2u, 2u) to -0.015206988092131501, + listOf() to 1.934530767358133, ), NumberedPolynomialAsIs( listOf() to 0.8597048543814783, @@ -141,14 +208,16 @@ class NumberedPolynomialUtilTest { listOf(1u, 2u) to -0.06962351375204712, listOf(2u, 2u) to -0.015206988092131501, ).substitute(mapOf( + 0 to 0.4846192734143442, + 1 to 0.8400458576651112, 5 to 0.9211194782050933 )).coefficients, 0.001, - "test 6" + "test 5'" ) } @Test - fun test_substitute_Constant() { + fun test_Polynomial_substitute_Constant_Map() { assertEquals( NumberedPolynomialAsIs( listOf() to Rational(0) @@ -183,6 +252,167 @@ class NumberedPolynomialUtilTest { )), "test 2" ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(143, 150) + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to Rational(-2, 5), + 1 to Rational(12, 9), + 5 to Rational(57, 179), + )), + "test 2'" + ) + // https://www.wolframalpha.com/input?i=%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2+where+y+%3D+12%2F9 + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-67, 18), + listOf(1u) to Rational(-70, 9), + listOf(2u) to Rational(88, 9), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 1 to Rational(12, 9), + )), + "test 3" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-67, 18), + listOf(1u) to Rational(-70, 9), + listOf(2u) to Rational(88, 9), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 1 to Rational(12, 9), + 5 to Rational(57, 179), + )), + "test 3'" + ) + // https://www.wolframalpha.com/input?i=%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2+where+x+%3D+-2%2F5 + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-83, 50), + listOf(0u, 1u) to Rational(29, 25), + listOf(0u, 2u) to Rational(3, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to Rational(-2, 5), + )), + "test 4" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-83, 50), + listOf(0u, 1u) to Rational(29, 25), + listOf(0u, 2u) to Rational(3, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to Rational(-2, 5), + 5 to Rational(57, 179), + )), + "test 4'" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf()), + "test 5" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 5 to Rational(57, 179), + )), + "test 5'" + ) // https://www.wolframalpha.com/input?i=%28%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2%29+p%5E8+where+x+%3D+q%2Fp%2C+y+%3D+x%5E3%2C+p+%3D+-2%2F5%2C+q+%3D+12%2F9 assertEquals( NumberedPolynomialAsIs( @@ -202,37 +432,11 @@ class NumberedPolynomialUtilTest { 0 to Rational(-2, 5), 1 to Rational(12, 9), )), - "test 3" - ) - // https://www.wolframalpha.com/input?i=%28%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2%29+p%5E8+where+x+%3D+q%2Fp%2C+y+%3D+x%5E3%2C+p+%3D+-2%2F5%2C+q+%3D+12%2F9 - assertEquals( - NumberedPolynomialAsIs( - listOf(8u) to Rational(-3, 2), - listOf(7u, 1u) to Rational(8, 6), - listOf(6u, 2u) to Rational(14, 6), - listOf(5u, 3u) to Rational(-3, 1), - listOf(4u, 4u) to Rational(-19, 2), - listOf(3u, 5u) to Rational(9, 4), - listOf(2u, 6u) to Rational(5, 5), - listOf(1u, 7u) to Rational(18, 9), - listOf(0u, 8u) to Rational(5, 2), - ), - NumberedPolynomialAsIs( - listOf(8u) to Rational(-3, 2), - listOf(7u, 1u) to Rational(8, 6), - listOf(6u, 2u) to Rational(14, 6), - listOf(5u, 3u) to Rational(-3, 1), - listOf(4u, 4u) to Rational(-19, 2), - listOf(3u, 5u) to Rational(9, 4), - listOf(2u, 6u) to Rational(5, 5), - listOf(1u, 7u) to Rational(18, 9), - listOf(0u, 8u) to Rational(5, 2), - ).substitute(RationalField, mapOf()), - "test 4" + "test 6" ) } @Test - fun test_substitute_Polynomial() { + fun test_Polynomial_substitute_Polynomial_Map() { assertEquals( NumberedPolynomialAsIs( listOf() to Rational(0) @@ -248,7 +452,7 @@ class NumberedPolynomialUtilTest { )), "test 1" ) - // https://www.wolframalpha.com/input?i=%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2+where+x+%3D+-2%2F5%2C+y+%3D+12%2F9 + // https://www.wolframalpha.com/input?i=%28-3%2F2+%2B+8%2F6+x+%2B+14%2F6+x%5E2%29+%2B+%28-3%2F1+%2B+-19%2F2+x+%2B+9%2F4+x%5E2%29+y+%2B+%285%2F5+%2B+18%2F9+x+%2B+5%2F2+x%5E2%29+y%5E2+where+x+%3D+-5%2F1+s+%2B+2%2F8+t%2C+y+%3D+11%2F7+t assertEquals( NumberedPolynomialAsIs( listOf() to Rational(-3, 2), @@ -289,5 +493,1832 @@ class NumberedPolynomialUtilTest { )), "test 2" ) + // (-3/2 + 8/6 x + 14/6 x^2) + (-3/1 + -19/2 x + 9/4 x^2) y + (5/5 + 18/9 x + 5/2 x^2) y^2 where x = (0/6 + 14/8 s + -14/2 s^2) + (-3/5 + 11/1 s + 3/7 s^2) t + (-3/7 + -18/5 s + -9/1 s^2) t^2, y = (-9/2 + 2/7 s + 9/1 s^2) + (13/1 + -1/8 s + 2/8 s^2) t + (19/4 + 15/7 s + -19/4 s^2) t^2 + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(129, 4), + listOf(1u) to Rational(48583, 336), + listOf(2u) to Rational(-913477, 1568), + listOf(3u) to Rational(-967567, 672), + listOf(4u) to Rational(4722043, 1344), + listOf(5u) to Rational(8855, 2), + listOf(6u) to Rational(-311971, 32), + listOf(7u) to Rational(-17325, 4), + listOf(8u) to Rational(19845, 2), + listOf(0u, 1u) to Rational(-827, 4), + listOf(1u, 1u) to Rational(191927, 840), + listOf(2u, 1u) to Rational(9592627, 2352), + listOf(3u, 1u) to Rational(-105400711, 53760), + listOf(4u, 1u) to Rational(-10054101459, 439040), + listOf(5u, 1u) to Rational(2127351, 128), + listOf(6u, 1u) to Rational(116680973, 3136), + listOf(7u, 1u) to Rational(-220445, 7), + listOf(8u, 1u) to Rational(-2655, 4), + listOf(0u, 2u) to Rational(30567, 100), + listOf(1u, 2u) to Rational(-156284953, 39200), + listOf(2u, 2u) to Rational(-57661541711, 6585600), + listOf(3u, 2u) to Rational(131931579, 3136), + listOf(4u, 2u) to Rational(98818124791, 3512320), + listOf(5u, 2u) to Rational(-94458855053, 878080), + listOf(6u, 2u) to Rational(13937705305, 1229312), + listOf(7u, 2u) to Rational(335706887, 21952), + listOf(8u, 2u) to Rational(23549165, 1568), + listOf(0u, 3u) to Rational(111367, 1400), + listOf(1u, 3u) to Rational(4937369, 700), + listOf(2u, 3u) to Rational(-4449423711, 274400), + listOf(3u, 3u) to Rational(-351873325703, 4390400), + listOf(4u, 3u) to Rational(23495875029, 307328), + listOf(5u, 3u) to Rational(17576300919, 878080), + listOf(6u, 3u) to Rational(230316993, 12544), + listOf(7u, 3u) to Rational(-191130515, 21952), + listOf(8u, 3u) to Rational(332435, 392), + listOf(0u, 4u) to Rational(-275084, 1225), + listOf(1u, 4u) to Rational(-266774603, 137200), + listOf(2u, 4u) to Rational(2176279167121, 30732800), + listOf(3u, 4u) to Rational(10904913303, 2195200), + listOf(4u, 4u) to Rational(-10769286147, 2195200), + listOf(5u, 4u) to Rational(-26277119793, 439040), + listOf(6u, 4u) to Rational(25859735869, 6146560), + listOf(7u, 4u) to Rational(38906289, 2744), + listOf(8u, 4u) to Rational(-3072025, 392), + listOf(0u, 5u) to Rational(9573, 98), + listOf(1u, 5u) to Rational(-4154651399, 548800), + listOf(2u, 5u) to Rational(3446069019, 548800), + listOf(3u, 5u) to Rational(-7851500623, 137200), + listOf(4u, 5u) to Rational(-53205142903, 1920800), + listOf(5u, 5u) to Rational(-31953611, 3430), + listOf(6u, 5u) to Rational(1447380313, 109760), + listOf(7u, 5u) to Rational(764158625, 21952), + listOf(8u, 5u) to Rational(1153515, 784), + listOf(0u, 6u) to Rational(1722351, 7840), + listOf(1u, 6u) to Rational(-164554821, 109760), + listOf(2u, 6u) to Rational(-79096147243, 7683200), + listOf(3u, 6u) to Rational(-624721089, 15680), + listOf(4u, 6u) to Rational(11147305567, 548800), + listOf(5u, 6u) to Rational(8318333679, 109760), + listOf(6u, 6u) to Rational(32981871553, 1536640), + listOf(7u, 6u) to Rational(-225359619, 21952), + listOf(8u, 6u) to Rational(-3973995, 392), + listOf(0u, 7u) to Rational(67203, 784), + listOf(1u, 7u) to Rational(39281469, 54880), + listOf(2u, 7u) to Rational(70162551, 27440), + listOf(3u, 7u) to Rational(413630709, 54880), + listOf(4u, 7u) to Rational(4640410269, 192080), + listOf(5u, 7u) to Rational(802712247, 54880), + listOf(6u, 7u) to Rational(-473517603, 27440), + listOf(7u, 7u) to Rational(-17055459, 1568), + listOf(8u, 7u) to Rational(-12825, 14), + listOf(0u, 8u) to Rational(16245, 1568), + listOf(1u, 8u) to Rational(503253, 2744), + listOf(2u, 8u) to Rational(125292591, 96040), + listOf(3u, 8u) to Rational(12033171, 2744), + listOf(4u, 8u) to Rational(154352673, 27440), + listOf(5u, 8u) to Rational(-1302291, 392), + listOf(6u, 8u) to Rational(-20265741, 1960), + listOf(7u, 8u) to Rational(-26163, 56), + listOf(8u, 8u) to Rational(146205, 32), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedPolynomialAsIs( + listOf() to Rational(0, 6), + listOf(1u) to Rational(14, 8), + listOf(2u) to Rational(-14, 2), + listOf(0u, 1u) to Rational(-3, 5), + listOf(1u, 1u) to Rational(11, 1), + listOf(2u, 1u) to Rational(3, 7), + listOf(0u, 2u) to Rational(-3, 7), + listOf(1u, 2u) to Rational(-18, 5), + listOf(2u, 2u) to Rational(-9, 1), + ), + 1 to NumberedPolynomialAsIs( + listOf() to Rational(-9, 2), + listOf(1u) to Rational(2, 7), + listOf(2u) to Rational(9, 1), + listOf(0u, 1u) to Rational(13, 1), + listOf(1u, 1u) to Rational(-1, 8), + listOf(2u, 1u) to Rational(2, 8), + listOf(0u, 2u) to Rational(19, 4), + listOf(1u, 2u) to Rational(15, 7), + listOf(2u, 2u) to Rational(-19, 4), + ), + )), + "test 3" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(129, 4), + listOf(1u) to Rational(48583, 336), + listOf(2u) to Rational(-913477, 1568), + listOf(3u) to Rational(-967567, 672), + listOf(4u) to Rational(4722043, 1344), + listOf(5u) to Rational(8855, 2), + listOf(6u) to Rational(-311971, 32), + listOf(7u) to Rational(-17325, 4), + listOf(8u) to Rational(19845, 2), + listOf(0u, 1u) to Rational(-827, 4), + listOf(1u, 1u) to Rational(191927, 840), + listOf(2u, 1u) to Rational(9592627, 2352), + listOf(3u, 1u) to Rational(-105400711, 53760), + listOf(4u, 1u) to Rational(-10054101459, 439040), + listOf(5u, 1u) to Rational(2127351, 128), + listOf(6u, 1u) to Rational(116680973, 3136), + listOf(7u, 1u) to Rational(-220445, 7), + listOf(8u, 1u) to Rational(-2655, 4), + listOf(0u, 2u) to Rational(30567, 100), + listOf(1u, 2u) to Rational(-156284953, 39200), + listOf(2u, 2u) to Rational(-57661541711, 6585600), + listOf(3u, 2u) to Rational(131931579, 3136), + listOf(4u, 2u) to Rational(98818124791, 3512320), + listOf(5u, 2u) to Rational(-94458855053, 878080), + listOf(6u, 2u) to Rational(13937705305, 1229312), + listOf(7u, 2u) to Rational(335706887, 21952), + listOf(8u, 2u) to Rational(23549165, 1568), + listOf(0u, 3u) to Rational(111367, 1400), + listOf(1u, 3u) to Rational(4937369, 700), + listOf(2u, 3u) to Rational(-4449423711, 274400), + listOf(3u, 3u) to Rational(-351873325703, 4390400), + listOf(4u, 3u) to Rational(23495875029, 307328), + listOf(5u, 3u) to Rational(17576300919, 878080), + listOf(6u, 3u) to Rational(230316993, 12544), + listOf(7u, 3u) to Rational(-191130515, 21952), + listOf(8u, 3u) to Rational(332435, 392), + listOf(0u, 4u) to Rational(-275084, 1225), + listOf(1u, 4u) to Rational(-266774603, 137200), + listOf(2u, 4u) to Rational(2176279167121, 30732800), + listOf(3u, 4u) to Rational(10904913303, 2195200), + listOf(4u, 4u) to Rational(-10769286147, 2195200), + listOf(5u, 4u) to Rational(-26277119793, 439040), + listOf(6u, 4u) to Rational(25859735869, 6146560), + listOf(7u, 4u) to Rational(38906289, 2744), + listOf(8u, 4u) to Rational(-3072025, 392), + listOf(0u, 5u) to Rational(9573, 98), + listOf(1u, 5u) to Rational(-4154651399, 548800), + listOf(2u, 5u) to Rational(3446069019, 548800), + listOf(3u, 5u) to Rational(-7851500623, 137200), + listOf(4u, 5u) to Rational(-53205142903, 1920800), + listOf(5u, 5u) to Rational(-31953611, 3430), + listOf(6u, 5u) to Rational(1447380313, 109760), + listOf(7u, 5u) to Rational(764158625, 21952), + listOf(8u, 5u) to Rational(1153515, 784), + listOf(0u, 6u) to Rational(1722351, 7840), + listOf(1u, 6u) to Rational(-164554821, 109760), + listOf(2u, 6u) to Rational(-79096147243, 7683200), + listOf(3u, 6u) to Rational(-624721089, 15680), + listOf(4u, 6u) to Rational(11147305567, 548800), + listOf(5u, 6u) to Rational(8318333679, 109760), + listOf(6u, 6u) to Rational(32981871553, 1536640), + listOf(7u, 6u) to Rational(-225359619, 21952), + listOf(8u, 6u) to Rational(-3973995, 392), + listOf(0u, 7u) to Rational(67203, 784), + listOf(1u, 7u) to Rational(39281469, 54880), + listOf(2u, 7u) to Rational(70162551, 27440), + listOf(3u, 7u) to Rational(413630709, 54880), + listOf(4u, 7u) to Rational(4640410269, 192080), + listOf(5u, 7u) to Rational(802712247, 54880), + listOf(6u, 7u) to Rational(-473517603, 27440), + listOf(7u, 7u) to Rational(-17055459, 1568), + listOf(8u, 7u) to Rational(-12825, 14), + listOf(0u, 8u) to Rational(16245, 1568), + listOf(1u, 8u) to Rational(503253, 2744), + listOf(2u, 8u) to Rational(125292591, 96040), + listOf(3u, 8u) to Rational(12033171, 2744), + listOf(4u, 8u) to Rational(154352673, 27440), + listOf(5u, 8u) to Rational(-1302291, 392), + listOf(6u, 8u) to Rational(-20265741, 1960), + listOf(7u, 8u) to Rational(-26163, 56), + listOf(8u, 8u) to Rational(146205, 32), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedPolynomialAsIs( + listOf() to Rational(0, 6), + listOf(1u) to Rational(14, 8), + listOf(2u) to Rational(-14, 2), + listOf(0u, 1u) to Rational(-3, 5), + listOf(1u, 1u) to Rational(11, 1), + listOf(2u, 1u) to Rational(3, 7), + listOf(0u, 2u) to Rational(-3, 7), + listOf(1u, 2u) to Rational(-18, 5), + listOf(2u, 2u) to Rational(-9, 1), + ), + 1 to NumberedPolynomialAsIs( + listOf() to Rational(-9, 2), + listOf(1u) to Rational(2, 7), + listOf(2u) to Rational(9, 1), + listOf(0u, 1u) to Rational(13, 1), + listOf(1u, 1u) to Rational(-1, 8), + listOf(2u, 1u) to Rational(2, 8), + listOf(0u, 2u) to Rational(19, 4), + listOf(1u, 2u) to Rational(15, 7), + listOf(2u, 2u) to Rational(-19, 4), + ), + 5 to NumberedPolynomialAsIs( + listOf() to Rational(-11, 3), + listOf(1u) to Rational(5, 2), + listOf(2u) to Rational(13, 7), + listOf(0u, 1u) to Rational(16, 9), + listOf(1u, 1u) to Rational(14, 7), + listOf(2u, 1u) to Rational(6, 1), + listOf(0u, 2u) to Rational(-14, 3), + listOf(1u, 2u) to Rational(-2, 7), + listOf(2u, 2u) to Rational(-10, 8), + ) + )), + "test 3'" + ) + // (-3/2 + 8/6 x + 14/6 x^2) + (-3/1 + -19/2 x + 9/4 x^2) y + (5/5 + 18/9 x + 5/2 x^2) y^2 where x = s, y = (-9/2 + 2/7 s + 9/1 s^2) + (13/1 + -1/8 s + 2/8 s^2) t + (19/4 + 15/7 s + -19/4 s^2) t^2 + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(129, 4), + listOf(1u) to Rational(6817, 84), + listOf(2u) to Rational(-21445, 294), + listOf(3u) to Rational(-12151, 49), + listOf(4u) to Rational(-17789, 196), + listOf(5u) to Rational(1224, 7), + listOf(6u) to Rational(405, 2), + listOf(0u, 1u) to Rational(-156), + listOf(1u, 1u) to Rational(-2440, 7), + listOf(2u, 1u) to Rational(-1571, 112), + listOf(3u, 1u) to Rational(107515, 224), + listOf(4u, 1u) to Rational(64965, 112), + listOf(5u, 1u) to Rational(209, 56), + listOf(6u, 1u) to Rational(45, 4), + listOf(0u, 2u) to Rational(112), + listOf(1u, 2u) to Rational(1449, 8), + listOf(2u, 2u) to Rational(1306309, 3136), + listOf(3u, 2u) to Rational(483207, 1568), + listOf(4u, 2u) to Rational(1978437, 6272), + listOf(5u, 2u) to Rational(-18231, 224), + listOf(6u, 2u) to Rational(-6835, 32), + listOf(0u, 3u) to Rational(247, 2), + listOf(1u, 3u) to Rational(33771, 112), + listOf(2u, 3u) to Rational(2073, 7), + listOf(3u, 3u) to Rational(-23463, 224), + listOf(4u, 3u) to Rational(-33825, 112), + listOf(5u, 3u) to Rational(201, 224), + listOf(6u, 3u) to Rational(-95, 16), + listOf(0u, 4u) to Rational(361, 16), + listOf(1u, 4u) to Rational(3667, 56), + listOf(2u, 4u) to Rational(88729, 1568), + listOf(3u, 4u) to Rational(-2476, 49), + listOf(4u, 4u) to Rational(-23419, 196), + listOf(5u, 4u) to Rational(-323, 56), + listOf(6u, 4u) to Rational(1805, 32), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 1 to NumberedPolynomialAsIs( + listOf() to Rational(-9, 2), + listOf(1u) to Rational(2, 7), + listOf(2u) to Rational(9, 1), + listOf(0u, 1u) to Rational(13, 1), + listOf(1u, 1u) to Rational(-1, 8), + listOf(2u, 1u) to Rational(2, 8), + listOf(0u, 2u) to Rational(19, 4), + listOf(1u, 2u) to Rational(15, 7), + listOf(2u, 2u) to Rational(-19, 4), + ), + )), + "test 4" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(129, 4), + listOf(1u) to Rational(6817, 84), + listOf(2u) to Rational(-21445, 294), + listOf(3u) to Rational(-12151, 49), + listOf(4u) to Rational(-17789, 196), + listOf(5u) to Rational(1224, 7), + listOf(6u) to Rational(405, 2), + listOf(0u, 1u) to Rational(-156), + listOf(1u, 1u) to Rational(-2440, 7), + listOf(2u, 1u) to Rational(-1571, 112), + listOf(3u, 1u) to Rational(107515, 224), + listOf(4u, 1u) to Rational(64965, 112), + listOf(5u, 1u) to Rational(209, 56), + listOf(6u, 1u) to Rational(45, 4), + listOf(0u, 2u) to Rational(112), + listOf(1u, 2u) to Rational(1449, 8), + listOf(2u, 2u) to Rational(1306309, 3136), + listOf(3u, 2u) to Rational(483207, 1568), + listOf(4u, 2u) to Rational(1978437, 6272), + listOf(5u, 2u) to Rational(-18231, 224), + listOf(6u, 2u) to Rational(-6835, 32), + listOf(0u, 3u) to Rational(247, 2), + listOf(1u, 3u) to Rational(33771, 112), + listOf(2u, 3u) to Rational(2073, 7), + listOf(3u, 3u) to Rational(-23463, 224), + listOf(4u, 3u) to Rational(-33825, 112), + listOf(5u, 3u) to Rational(201, 224), + listOf(6u, 3u) to Rational(-95, 16), + listOf(0u, 4u) to Rational(361, 16), + listOf(1u, 4u) to Rational(3667, 56), + listOf(2u, 4u) to Rational(88729, 1568), + listOf(3u, 4u) to Rational(-2476, 49), + listOf(4u, 4u) to Rational(-23419, 196), + listOf(5u, 4u) to Rational(-323, 56), + listOf(6u, 4u) to Rational(1805, 32), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 1 to NumberedPolynomialAsIs( + listOf() to Rational(-9, 2), + listOf(1u) to Rational(2, 7), + listOf(2u) to Rational(9, 1), + listOf(0u, 1u) to Rational(13, 1), + listOf(1u, 1u) to Rational(-1, 8), + listOf(2u, 1u) to Rational(2, 8), + listOf(0u, 2u) to Rational(19, 4), + listOf(1u, 2u) to Rational(15, 7), + listOf(2u, 2u) to Rational(-19, 4), + ), + 5 to NumberedPolynomialAsIs( + listOf() to Rational(-11, 3), + listOf(1u) to Rational(5, 2), + listOf(2u) to Rational(13, 7), + listOf(0u, 1u) to Rational(16, 9), + listOf(1u, 1u) to Rational(14, 7), + listOf(2u, 1u) to Rational(6, 1), + listOf(0u, 2u) to Rational(-14, 3), + listOf(1u, 2u) to Rational(-2, 7), + listOf(2u, 2u) to Rational(-10, 8), + ) + )), + "test 4'" + ) + // (-3/2 + 8/6 x + 14/6 x^2) + (-3/1 + -19/2 x + 9/4 x^2) y + (5/5 + 18/9 x + 5/2 x^2) y^2 where x = (0/6 + 14/8 s + -14/2 s^2) + (-3/5 + 11/1 s + 3/7 s^2) t + (-3/7 + -18/5 s + -9/1 s^2) t^2, y = t + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(7, 3), + listOf(2u) to Rational(-35, 16), + listOf(3u) to Rational(-343, 6), + listOf(4u) to Rational(343, 3), + listOf(0u, 1u) to Rational(-19, 5), + listOf(1u, 1u) to Rational(-823, 120), + listOf(2u, 1u) to Rational(1232417, 6720), + listOf(3u, 1u) to Rational(-9863, 24), + listOf(4u, 1u) to Rational(385, 4), + listOf(0u, 2u) to Rational(2439, 350), + listOf(1u, 2u) to Rational(-5793, 40), + listOf(2u, 2u) to Rational(1172113, 3360), + listOf(3u, 2u) to Rational(-13531, 40), + listOf(4u, 2u) to Rational(2824, 7), + listOf(0u, 3u) to Rational(3417, 700), + listOf(1u, 3u) to Rational(1191, 200), + listOf(2u, 3u) to Rational(8383, 28), + listOf(3u, 3u) to Rational(-220279, 280), + listOf(4u, 3u) to Rational(49179, 196), + listOf(0u, 4u) to Rational(57, 35), + listOf(1u, 4u) to Rational(-33771, 700), + listOf(2u, 4u) to Rational(196279, 1225), + listOf(3u, 4u) to Rational(-32259, 140), + listOf(4u, 4u) to Rational(23868, 49), + listOf(0u, 5u) to Rational(333, 196), + listOf(1u, 5u) to Rational(-204, 35), + listOf(2u, 5u) to Rational(-307233, 2450), + listOf(3u, 5u) to Rational(-12492, 35), + listOf(4u, 5u) to Rational(4563, 28), + listOf(0u, 6u) to Rational(45, 98), + listOf(1u, 6u) to Rational(54, 7), + listOf(2u, 6u) to Rational(1809, 35), + listOf(3u, 6u) to Rational(162), + listOf(4u, 6u) to Rational(405, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedPolynomialAsIs( + listOf() to Rational(0, 6), + listOf(1u) to Rational(14, 8), + listOf(2u) to Rational(-14, 2), + listOf(0u, 1u) to Rational(-3, 5), + listOf(1u, 1u) to Rational(11, 1), + listOf(2u, 1u) to Rational(3, 7), + listOf(0u, 2u) to Rational(-3, 7), + listOf(1u, 2u) to Rational(-18, 5), + listOf(2u, 2u) to Rational(-9, 1), + ), + )), + "test 5" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(7, 3), + listOf(2u) to Rational(-35, 16), + listOf(3u) to Rational(-343, 6), + listOf(4u) to Rational(343, 3), + listOf(0u, 1u) to Rational(-19, 5), + listOf(1u, 1u) to Rational(-823, 120), + listOf(2u, 1u) to Rational(1232417, 6720), + listOf(3u, 1u) to Rational(-9863, 24), + listOf(4u, 1u) to Rational(385, 4), + listOf(0u, 2u) to Rational(2439, 350), + listOf(1u, 2u) to Rational(-5793, 40), + listOf(2u, 2u) to Rational(1172113, 3360), + listOf(3u, 2u) to Rational(-13531, 40), + listOf(4u, 2u) to Rational(2824, 7), + listOf(0u, 3u) to Rational(3417, 700), + listOf(1u, 3u) to Rational(1191, 200), + listOf(2u, 3u) to Rational(8383, 28), + listOf(3u, 3u) to Rational(-220279, 280), + listOf(4u, 3u) to Rational(49179, 196), + listOf(0u, 4u) to Rational(57, 35), + listOf(1u, 4u) to Rational(-33771, 700), + listOf(2u, 4u) to Rational(196279, 1225), + listOf(3u, 4u) to Rational(-32259, 140), + listOf(4u, 4u) to Rational(23868, 49), + listOf(0u, 5u) to Rational(333, 196), + listOf(1u, 5u) to Rational(-204, 35), + listOf(2u, 5u) to Rational(-307233, 2450), + listOf(3u, 5u) to Rational(-12492, 35), + listOf(4u, 5u) to Rational(4563, 28), + listOf(0u, 6u) to Rational(45, 98), + listOf(1u, 6u) to Rational(54, 7), + listOf(2u, 6u) to Rational(1809, 35), + listOf(3u, 6u) to Rational(162), + listOf(4u, 6u) to Rational(405, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedPolynomialAsIs( + listOf() to Rational(0, 6), + listOf(1u) to Rational(14, 8), + listOf(2u) to Rational(-14, 2), + listOf(0u, 1u) to Rational(-3, 5), + listOf(1u, 1u) to Rational(11, 1), + listOf(2u, 1u) to Rational(3, 7), + listOf(0u, 2u) to Rational(-3, 7), + listOf(1u, 2u) to Rational(-18, 5), + listOf(2u, 2u) to Rational(-9, 1), + ), + 5 to NumberedPolynomialAsIs( + listOf() to Rational(-11, 3), + listOf(1u) to Rational(5, 2), + listOf(2u) to Rational(13, 7), + listOf(0u, 1u) to Rational(16, 9), + listOf(1u, 1u) to Rational(14, 7), + listOf(2u, 1u) to Rational(6, 1), + listOf(0u, 2u) to Rational(-14, 3), + listOf(1u, 2u) to Rational(-2, 7), + listOf(2u, 2u) to Rational(-10, 8), + ) + )), + "test 5'" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf>()), + "test 6" + ) + assertEquals( + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-3, 2), + listOf(1u) to Rational(8, 6), + listOf(2u) to Rational(14, 6), + listOf(0u, 1u) to Rational(-3, 1), + listOf(1u, 1u) to Rational(-19, 2), + listOf(2u, 1u) to Rational(9, 4), + listOf(0u, 2u) to Rational(5, 5), + listOf(1u, 2u) to Rational(18, 9), + listOf(2u, 2u) to Rational(5, 2), + ).substitute(RationalField, mapOf( + 5 to NumberedPolynomialAsIs( + listOf() to Rational(-11, 3), + listOf(1u) to Rational(5, 2), + listOf(2u) to Rational(13, 7), + listOf(0u, 1u) to Rational(16, 9), + listOf(1u, 1u) to Rational(14, 7), + listOf(2u, 1u) to Rational(6, 1), + listOf(0u, 2u) to Rational(-14, 3), + listOf(1u, 2u) to Rational(-2, 7), + listOf(2u, 2u) to Rational(-10, 8), + ) + )), + "test 6'" + ) + } + @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_Polynomial_substitute_RationalFunction_Map() { + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(0) + ), + NumberedPolynomialAsIs( + listOf() to Rational(1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(1), + listOf(1u) to Rational(-2), + listOf(2u) to Rational(1) + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(1) + ), + NumberedPolynomialAsIs( + listOf() to Rational(1) + ) + ) + )), + "test 1" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf(4u) to Rational(-194071, 4900), + listOf(3u, 1u) to Rational(394811, 225), + listOf(2u, 2u) to Rational(-444183161, 66150), + listOf(1u, 3u) to Rational(70537618, 59535), + listOf(0u, 4u) to Rational(9655504, 2835), + ), + NumberedPolynomialAsIs( + listOf(4u) to Rational(9, 1), + listOf(3u, 1u) to Rational(61, 1), + listOf(2u, 2u) to Rational(2137, 36), + listOf(1u, 3u) to Rational(-1342, 9), + listOf(0u, 4u) to Rational(484, 9), + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf(1u) to Rational(17, 7), + listOf(0u, 1u) to Rational(-13, 1), + ), + NumberedPolynomialAsIs( + listOf(1u) to Rational(-18, 6), + listOf(0u, 1u) to Rational(11, 6), + ) + ), + 1 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf(1u) to Rational(18, 5), + listOf(0u, 1u) to Rational(-16, 3), + ), + NumberedPolynomialAsIs( + listOf(1u) to Rational(-1, 1), + listOf(0u, 1u) to Rational(-4, 1), + ) + ), + )), + "test 2" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-6443599, 10000), + listOf(1u) to Rational(166251223, 210000), + listOf(2u) to Rational(-4606805099, 3528000), + listOf(3u) to Rational(51204379, 19600), + listOf(4u) to Rational(-529045460659, 277830000), + listOf(5u) to Rational(2630836709, 1488375), + listOf(6u) to Rational(-42675691369, 25004700), + listOf(7u) to Rational(495825223, 1250235), + listOf(8u) to Rational(-22531756, 1750329), + listOf(0u, 1u) to Rational(-2526552797, 420000), + listOf(1u, 1u) to Rational(31108840471, 2520000), + listOf(2u, 1u) to Rational(-4789740847, 1102500), + listOf(3u, 1u) to Rational(186594307807, 11340000), + listOf(4u, 1u) to Rational(-11677815943, 1488375), + listOf(5u, 1u) to Rational(-181118486447, 27783000), + listOf(6u, 1u) to Rational(-16123292162, 14586075), + listOf(7u, 1u) to Rational(-140339343808, 26254935), + listOf(8u, 1u) to Rational(4570171616, 5250987), + listOf(0u, 2u) to Rational(-181436530573, 10080000), + listOf(1u, 2u) to Rational(6700437957491, 105840000), + listOf(2u, 2u) to Rational(-3527267461, 1417500), + listOf(3u, 2u) to Rational(-38084563451, 5556600), + listOf(4u, 2u) to Rational(-565662040631, 13891500), + listOf(5u, 2u) to Rational(-35479071126397, 583443000), + listOf(6u, 2u) to Rational(-11717559078469, 525098700), + listOf(7u, 2u) to Rational(-2043385293517, 225042300), + listOf(8u, 2u) to Rational(-3644439630451, 551353635), + listOf(0u, 3u) to Rational(-1760423269, 126000), + listOf(1u, 3u) to Rational(310176758299, 2352000), + listOf(2u, 3u) to Rational(-907229584837, 21168000), + listOf(3u, 3u) to Rational(-16717135885963, 95256000), + listOf(4u, 3u) to Rational(-43762928025353, 333396000), + listOf(5u, 3u) to Rational(-328427480571607, 3000564000), + listOf(6u, 3u) to Rational(-7722675917197, 210039480), + listOf(7u, 3u) to Rational(1713350137019, 1225230300), + listOf(8u, 3u) to Rational(156695935643, 31505922), + listOf(0u, 4u) to Rational(18362364269, 1008000), + listOf(1u, 4u) to Rational(955674858553, 10584000), + listOf(2u, 4u) to Rational(-71937470607371, 444528000), + listOf(3u, 4u) to Rational(-34097985615163, 95256000), + listOf(4u, 4u) to Rational(-340736178775883, 2000376000), + listOf(5u, 4u) to Rational(-511324523441897, 10501974000), + listOf(6u, 4u) to Rational(-125375649409151, 8821658160), + listOf(7u, 4u) to Rational(-2813518533421, 1575296100), + listOf(8u, 4u) to Rational(-17044089109, 5250987), + listOf(0u, 5u) to Rational(600086461, 20160), + listOf(1u, 5u) to Rational(-18959931367, 423360), + listOf(2u, 5u) to Rational(-9178804929607, 44452800), + listOf(3u, 5u) to Rational(-1460114275979, 5334336), + listOf(4u, 5u) to Rational(-342533479090169, 4200789600), + listOf(5u, 5u) to Rational(20335453022963, 4200789600), + listOf(6u, 5u) to Rational(-21649775090197, 6301184400), + listOf(7u, 5u) to Rational(-197301716069, 131274675), + listOf(8u, 5u) to Rational(18711357470, 15752961), + listOf(0u, 6u) to Rational(621417991, 100800), + listOf(1u, 6u) to Rational(-159236792977, 2116800), + listOf(2u, 6u) to Rational(-6602528890883, 66679200), + listOf(3u, 6u) to Rational(-1086091664047, 19051200), + listOf(4u, 6u) to Rational(3769375009003, 1680315840), + listOf(5u, 6u) to Rational(-12920385574769, 1050197400), + listOf(6u, 6u) to Rational(-90219591809287, 6301184400), + listOf(7u, 6u) to Rational(656361553391, 1575296100), + listOf(8u, 6u) to Rational(757900793, 2250423), + listOf(0u, 7u) to Rational(-100770017, 15120), + listOf(1u, 7u) to Rational(-316364851, 17640), + listOf(2u, 7u) to Rational(-85118560057, 6667920), + listOf(3u, 7u) to Rational(6286563719, 416745), + listOf(4u, 7u) to Rational(26803885301, 1714608), + listOf(5u, 7u) to Rational(-13767154393, 4286520), + listOf(6u, 7u) to Rational(-3875138933, 1224720), + listOf(7u, 7u) to Rational(65193755, 333396), + listOf(8u, 7u) to Rational(90974351, 2500470), + listOf(0u, 8u) to Rational(-3182197, 1260), + listOf(1u, 8u) to Rational(24899923, 8820), + listOf(2u, 8u) to Rational(-19999556, 19845), + listOf(3u, 8u) to Rational(3276587, 3969), + listOf(4u, 8u) to Rational(13719549239, 5000940), + listOf(5u, 8u) to Rational(-961839938, 1250235), + listOf(6u, 8u) to Rational(-198184871, 833490), + listOf(7u, 8u) to Rational(230659711, 5000940), + listOf(8u, 8u) to Rational(292447, 35721) + ), + NumberedPolynomialAsIs( + listOf() to Rational(9, 100), + listOf(1u) to Rational(-21, 50), + listOf(2u) to Rational(293, 700), + listOf(3u) to Rational(29, 210), + listOf(4u) to Rational(3233, 8820), + listOf(5u) to Rational(-289, 441), + listOf(6u) to Rational(-1, 9), + listOf(7u) to Rational(-20, 441), + listOf(8u) to Rational(100, 441), + listOf(0u, 1u) to Rational(-57, 80), + listOf(1u, 1u) to Rational(-121, 400), + listOf(2u, 1u) to Rational(37117, 8400), + listOf(3u, 1u) to Rational(-4853, 3150), + listOf(4u, 1u) to Rational(1166203, 132300), + listOf(5u, 1u) to Rational(-2708, 567), + listOf(6u, 1u) to Rational(-287159, 416745), + listOf(7u, 1u) to Rational(-478204, 83349), + listOf(8u, 1u) to Rational(176320, 83349), + listOf(0u, 2u) to Rational(-6239, 6400), + listOf(1u, 2u) to Rational(264211, 11200), + listOf(2u, 2u) to Rational(-1591999, 100800), + listOf(3u, 2u) to Rational(12450091, 529200), + listOf(4u, 2u) to Rational(9230759, 226800), + listOf(5u, 2u) to Rational(18995554, 2083725), + listOf(6u, 2u) to Rational(136706258, 6251175), + listOf(7u, 2u) to Rational(-120907496, 3750705), + listOf(8u, 2u) to Rational(117200176, 15752961), + listOf(0u, 3u) to Rational(5653, 320), + listOf(1u, 3u) to Rational(-130853, 8400), + listOf(2u, 3u) to Rational(-20939327, 151200), + listOf(3u, 3u) to Rational(2566691, 25200), + listOf(4u, 3u) to Rational(-68441519, 476280), + listOf(5u, 3u) to Rational(2462904247, 12502350), + listOf(6u, 3u) to Rational(353667161, 18753525), + listOf(7u, 3u) to Rational(-1689134372, 26254935), + listOf(8u, 3u) to Rational(35084104, 2250423), + listOf(0u, 4u) to Rational(-3587, 300), + listOf(1u, 4u) to Rational(-10513243, 33600), + listOf(2u, 4u) to Rational(30766733, 176400), + listOf(3u, 4u) to Rational(-65680021, 198450), + listOf(4u, 4u) to Rational(-8108910547, 20003760), + listOf(5u, 4u) to Rational(2922125159, 6251175), + listOf(6u, 4u) to Rational(-4245279943, 131274675), + listOf(7u, 4u) to Rational(-371946872, 3750705), + listOf(8u, 4u) to Rational(61286752, 2250423), + listOf(0u, 5u) to Rational(-20477, 160), + listOf(1u, 5u) to Rational(215741, 1120), + listOf(2u, 5u) to Rational(30785843, 31752), + listOf(3u, 5u) to Rational(-357495959, 317520), + listOf(4u, 5u) to Rational(-1611242993, 10001880), + listOf(5u, 5u) to Rational(345925495, 500094), + listOf(6u, 5u) to Rational(-755948411, 3750705), + listOf(7u, 5u) to Rational(-108643496, 1250235), + listOf(8u, 5u) to Rational(1122512, 35721), + listOf(0u, 6u) to Rational(358037, 2880), + listOf(1u, 6u) to Rational(3895837, 3360), + listOf(2u, 6u) to Rational(359419201, 1270080), + listOf(3u, 6u) to Rational(-158522587, 105840), + listOf(4u, 6u) to Rational(10909002599, 20003760), + listOf(5u, 6u) to Rational(76846972, 138915), + listOf(6u, 6u) to Rational(-327696553, 1250235), + listOf(7u, 6u) to Rational(-1687328, 35721), + listOf(8u, 6u) to Rational(1016836, 35721), + listOf(0u, 7u) to Rational(658, 3), + listOf(1u, 7u) to Rational(48035, 168), + listOf(2u, 7u) to Rational(-5777875, 5292), + listOf(3u, 7u) to Rational(-7893899, 10584), + listOf(4u, 7u) to Rational(10191652, 11907), + listOf(5u, 7u) to Rational(2920121, 23814), + listOf(6u, 7u) to Rational(-2699780, 11907), + listOf(7u, 7u) to Rational(4556, 441), + listOf(8u, 7u) to Rational(3440, 189), + listOf(0u, 8u) to Rational(64, 1), + listOf(1u, 8u) to Rational(-808, 7), + listOf(2u, 8u) to Rational(-360895, 1764), + listOf(3u, 8u) to Rational(257657, 882), + listOf(4u, 8u) to Rational(3779917, 15876), + listOf(5u, 8u) to Rational(-610279, 3969), + listOf(6u, 8u) to Rational(-25091, 441), + listOf(7u, 8u) to Rational(9560, 567), + listOf(8u, 8u) to Rational(400, 81) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(17, 5), + listOf(1u) to Rational(11, 6), + listOf(2u) to Rational(14, 3), + listOf(0u, 1u) to Rational(17, 1), + listOf(1u, 1u) to Rational(12, 3), + listOf(2u, 1u) to Rational(-6, 2), + listOf(0u, 2u) to Rational(17, 1), + listOf(1u, 2u) to Rational(-4, 3), + listOf(2u, 2u) to Rational(2, 6), + ), + NumberedPolynomialAsIs( + listOf() to Rational(3, 5), + listOf(1u) to Rational(3, 5), + listOf(2u) to Rational(3, 7), + listOf(0u, 1u) to Rational(-3, 8), + listOf(1u, 1u) to Rational(-1, 1), + listOf(2u, 1u) to Rational(17, 9), + listOf(0u, 2u) to Rational(-8, 1), + listOf(1u, 2u) to Rational(6, 4), + listOf(2u, 2u) to Rational(10, 9), + ) + ), + 1 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(18, 5), + listOf(1u) to Rational(-17, 5), + listOf(2u) to Rational(-2, 7), + listOf(0u, 1u) to Rational(6, 5), + listOf(1u, 1u) to Rational(-5, 1), + listOf(2u, 1u) to Rational(-9, 1), + listOf(0u, 2u) to Rational(-8, 8), + listOf(1u, 2u) to Rational(2, 7), + listOf(2u, 2u) to Rational(-13, 7), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-4, 8), + listOf(1u) to Rational(15, 9), + listOf(2u) to Rational(-10, 9), + listOf(0u, 1u) to Rational(5, 3), + listOf(1u, 1u) to Rational(4, 1), + listOf(2u, 1u) to Rational(-2, 7), + listOf(0u, 2u) to Rational(2, 2), + listOf(1u, 2u) to Rational(-5, 7), + listOf(2u, 2u) to Rational(-18, 9), + ) + ), + )), + "test 3" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-6443599, 10000), + listOf(1u) to Rational(166251223, 210000), + listOf(2u) to Rational(-4606805099, 3528000), + listOf(3u) to Rational(51204379, 19600), + listOf(4u) to Rational(-529045460659, 277830000), + listOf(5u) to Rational(2630836709, 1488375), + listOf(6u) to Rational(-42675691369, 25004700), + listOf(7u) to Rational(495825223, 1250235), + listOf(8u) to Rational(-22531756, 1750329), + listOf(0u, 1u) to Rational(-2526552797, 420000), + listOf(1u, 1u) to Rational(31108840471, 2520000), + listOf(2u, 1u) to Rational(-4789740847, 1102500), + listOf(3u, 1u) to Rational(186594307807, 11340000), + listOf(4u, 1u) to Rational(-11677815943, 1488375), + listOf(5u, 1u) to Rational(-181118486447, 27783000), + listOf(6u, 1u) to Rational(-16123292162, 14586075), + listOf(7u, 1u) to Rational(-140339343808, 26254935), + listOf(8u, 1u) to Rational(4570171616, 5250987), + listOf(0u, 2u) to Rational(-181436530573, 10080000), + listOf(1u, 2u) to Rational(6700437957491, 105840000), + listOf(2u, 2u) to Rational(-3527267461, 1417500), + listOf(3u, 2u) to Rational(-38084563451, 5556600), + listOf(4u, 2u) to Rational(-565662040631, 13891500), + listOf(5u, 2u) to Rational(-35479071126397, 583443000), + listOf(6u, 2u) to Rational(-11717559078469, 525098700), + listOf(7u, 2u) to Rational(-2043385293517, 225042300), + listOf(8u, 2u) to Rational(-3644439630451, 551353635), + listOf(0u, 3u) to Rational(-1760423269, 126000), + listOf(1u, 3u) to Rational(310176758299, 2352000), + listOf(2u, 3u) to Rational(-907229584837, 21168000), + listOf(3u, 3u) to Rational(-16717135885963, 95256000), + listOf(4u, 3u) to Rational(-43762928025353, 333396000), + listOf(5u, 3u) to Rational(-328427480571607, 3000564000), + listOf(6u, 3u) to Rational(-7722675917197, 210039480), + listOf(7u, 3u) to Rational(1713350137019, 1225230300), + listOf(8u, 3u) to Rational(156695935643, 31505922), + listOf(0u, 4u) to Rational(18362364269, 1008000), + listOf(1u, 4u) to Rational(955674858553, 10584000), + listOf(2u, 4u) to Rational(-71937470607371, 444528000), + listOf(3u, 4u) to Rational(-34097985615163, 95256000), + listOf(4u, 4u) to Rational(-340736178775883, 2000376000), + listOf(5u, 4u) to Rational(-511324523441897, 10501974000), + listOf(6u, 4u) to Rational(-125375649409151, 8821658160), + listOf(7u, 4u) to Rational(-2813518533421, 1575296100), + listOf(8u, 4u) to Rational(-17044089109, 5250987), + listOf(0u, 5u) to Rational(600086461, 20160), + listOf(1u, 5u) to Rational(-18959931367, 423360), + listOf(2u, 5u) to Rational(-9178804929607, 44452800), + listOf(3u, 5u) to Rational(-1460114275979, 5334336), + listOf(4u, 5u) to Rational(-342533479090169, 4200789600), + listOf(5u, 5u) to Rational(20335453022963, 4200789600), + listOf(6u, 5u) to Rational(-21649775090197, 6301184400), + listOf(7u, 5u) to Rational(-197301716069, 131274675), + listOf(8u, 5u) to Rational(18711357470, 15752961), + listOf(0u, 6u) to Rational(621417991, 100800), + listOf(1u, 6u) to Rational(-159236792977, 2116800), + listOf(2u, 6u) to Rational(-6602528890883, 66679200), + listOf(3u, 6u) to Rational(-1086091664047, 19051200), + listOf(4u, 6u) to Rational(3769375009003, 1680315840), + listOf(5u, 6u) to Rational(-12920385574769, 1050197400), + listOf(6u, 6u) to Rational(-90219591809287, 6301184400), + listOf(7u, 6u) to Rational(656361553391, 1575296100), + listOf(8u, 6u) to Rational(757900793, 2250423), + listOf(0u, 7u) to Rational(-100770017, 15120), + listOf(1u, 7u) to Rational(-316364851, 17640), + listOf(2u, 7u) to Rational(-85118560057, 6667920), + listOf(3u, 7u) to Rational(6286563719, 416745), + listOf(4u, 7u) to Rational(26803885301, 1714608), + listOf(5u, 7u) to Rational(-13767154393, 4286520), + listOf(6u, 7u) to Rational(-3875138933, 1224720), + listOf(7u, 7u) to Rational(65193755, 333396), + listOf(8u, 7u) to Rational(90974351, 2500470), + listOf(0u, 8u) to Rational(-3182197, 1260), + listOf(1u, 8u) to Rational(24899923, 8820), + listOf(2u, 8u) to Rational(-19999556, 19845), + listOf(3u, 8u) to Rational(3276587, 3969), + listOf(4u, 8u) to Rational(13719549239, 5000940), + listOf(5u, 8u) to Rational(-961839938, 1250235), + listOf(6u, 8u) to Rational(-198184871, 833490), + listOf(7u, 8u) to Rational(230659711, 5000940), + listOf(8u, 8u) to Rational(292447, 35721) + ), + NumberedPolynomialAsIs( + listOf() to Rational(9, 100), + listOf(1u) to Rational(-21, 50), + listOf(2u) to Rational(293, 700), + listOf(3u) to Rational(29, 210), + listOf(4u) to Rational(3233, 8820), + listOf(5u) to Rational(-289, 441), + listOf(6u) to Rational(-1, 9), + listOf(7u) to Rational(-20, 441), + listOf(8u) to Rational(100, 441), + listOf(0u, 1u) to Rational(-57, 80), + listOf(1u, 1u) to Rational(-121, 400), + listOf(2u, 1u) to Rational(37117, 8400), + listOf(3u, 1u) to Rational(-4853, 3150), + listOf(4u, 1u) to Rational(1166203, 132300), + listOf(5u, 1u) to Rational(-2708, 567), + listOf(6u, 1u) to Rational(-287159, 416745), + listOf(7u, 1u) to Rational(-478204, 83349), + listOf(8u, 1u) to Rational(176320, 83349), + listOf(0u, 2u) to Rational(-6239, 6400), + listOf(1u, 2u) to Rational(264211, 11200), + listOf(2u, 2u) to Rational(-1591999, 100800), + listOf(3u, 2u) to Rational(12450091, 529200), + listOf(4u, 2u) to Rational(9230759, 226800), + listOf(5u, 2u) to Rational(18995554, 2083725), + listOf(6u, 2u) to Rational(136706258, 6251175), + listOf(7u, 2u) to Rational(-120907496, 3750705), + listOf(8u, 2u) to Rational(117200176, 15752961), + listOf(0u, 3u) to Rational(5653, 320), + listOf(1u, 3u) to Rational(-130853, 8400), + listOf(2u, 3u) to Rational(-20939327, 151200), + listOf(3u, 3u) to Rational(2566691, 25200), + listOf(4u, 3u) to Rational(-68441519, 476280), + listOf(5u, 3u) to Rational(2462904247, 12502350), + listOf(6u, 3u) to Rational(353667161, 18753525), + listOf(7u, 3u) to Rational(-1689134372, 26254935), + listOf(8u, 3u) to Rational(35084104, 2250423), + listOf(0u, 4u) to Rational(-3587, 300), + listOf(1u, 4u) to Rational(-10513243, 33600), + listOf(2u, 4u) to Rational(30766733, 176400), + listOf(3u, 4u) to Rational(-65680021, 198450), + listOf(4u, 4u) to Rational(-8108910547, 20003760), + listOf(5u, 4u) to Rational(2922125159, 6251175), + listOf(6u, 4u) to Rational(-4245279943, 131274675), + listOf(7u, 4u) to Rational(-371946872, 3750705), + listOf(8u, 4u) to Rational(61286752, 2250423), + listOf(0u, 5u) to Rational(-20477, 160), + listOf(1u, 5u) to Rational(215741, 1120), + listOf(2u, 5u) to Rational(30785843, 31752), + listOf(3u, 5u) to Rational(-357495959, 317520), + listOf(4u, 5u) to Rational(-1611242993, 10001880), + listOf(5u, 5u) to Rational(345925495, 500094), + listOf(6u, 5u) to Rational(-755948411, 3750705), + listOf(7u, 5u) to Rational(-108643496, 1250235), + listOf(8u, 5u) to Rational(1122512, 35721), + listOf(0u, 6u) to Rational(358037, 2880), + listOf(1u, 6u) to Rational(3895837, 3360), + listOf(2u, 6u) to Rational(359419201, 1270080), + listOf(3u, 6u) to Rational(-158522587, 105840), + listOf(4u, 6u) to Rational(10909002599, 20003760), + listOf(5u, 6u) to Rational(76846972, 138915), + listOf(6u, 6u) to Rational(-327696553, 1250235), + listOf(7u, 6u) to Rational(-1687328, 35721), + listOf(8u, 6u) to Rational(1016836, 35721), + listOf(0u, 7u) to Rational(658, 3), + listOf(1u, 7u) to Rational(48035, 168), + listOf(2u, 7u) to Rational(-5777875, 5292), + listOf(3u, 7u) to Rational(-7893899, 10584), + listOf(4u, 7u) to Rational(10191652, 11907), + listOf(5u, 7u) to Rational(2920121, 23814), + listOf(6u, 7u) to Rational(-2699780, 11907), + listOf(7u, 7u) to Rational(4556, 441), + listOf(8u, 7u) to Rational(3440, 189), + listOf(0u, 8u) to Rational(64, 1), + listOf(1u, 8u) to Rational(-808, 7), + listOf(2u, 8u) to Rational(-360895, 1764), + listOf(3u, 8u) to Rational(257657, 882), + listOf(4u, 8u) to Rational(3779917, 15876), + listOf(5u, 8u) to Rational(-610279, 3969), + listOf(6u, 8u) to Rational(-25091, 441), + listOf(7u, 8u) to Rational(9560, 567), + listOf(8u, 8u) to Rational(400, 81) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(17, 5), + listOf(1u) to Rational(11, 6), + listOf(2u) to Rational(14, 3), + listOf(0u, 1u) to Rational(17, 1), + listOf(1u, 1u) to Rational(12, 3), + listOf(2u, 1u) to Rational(-6, 2), + listOf(0u, 2u) to Rational(17, 1), + listOf(1u, 2u) to Rational(-4, 3), + listOf(2u, 2u) to Rational(2, 6), + ), + NumberedPolynomialAsIs( + listOf() to Rational(3, 5), + listOf(1u) to Rational(3, 5), + listOf(2u) to Rational(3, 7), + listOf(0u, 1u) to Rational(-3, 8), + listOf(1u, 1u) to Rational(-1, 1), + listOf(2u, 1u) to Rational(17, 9), + listOf(0u, 2u) to Rational(-8, 1), + listOf(1u, 2u) to Rational(6, 4), + listOf(2u, 2u) to Rational(10, 9), + ) + ), + 1 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(18, 5), + listOf(1u) to Rational(-17, 5), + listOf(2u) to Rational(-2, 7), + listOf(0u, 1u) to Rational(6, 5), + listOf(1u, 1u) to Rational(-5, 1), + listOf(2u, 1u) to Rational(-9, 1), + listOf(0u, 2u) to Rational(-8, 8), + listOf(1u, 2u) to Rational(2, 7), + listOf(2u, 2u) to Rational(-13, 7), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-4, 8), + listOf(1u) to Rational(15, 9), + listOf(2u) to Rational(-10, 9), + listOf(0u, 1u) to Rational(5, 3), + listOf(1u, 1u) to Rational(4, 1), + listOf(2u, 1u) to Rational(-2, 7), + listOf(0u, 2u) to Rational(2, 2), + listOf(1u, 2u) to Rational(-5, 7), + listOf(2u, 2u) to Rational(-18, 9), + ) + ), + 5 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-2, 9), + listOf(1u) to Rational(-6, 3), + listOf(2u) to Rational(10, 9), + listOf(0u, 1u) to Rational(13, 3), + listOf(1u, 1u) to Rational(-12, 4), + listOf(2u, 1u) to Rational(3, 6), + listOf(0u, 2u) to Rational(2, 9), + listOf(1u, 2u) to Rational(7, 3), + listOf(2u, 2u) to Rational(16, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-6, 2), + listOf(1u) to Rational(6, 2), + listOf(2u) to Rational(2, 7), + listOf(0u, 1u) to Rational(-18, 1), + listOf(1u, 1u) to Rational(-11, 3), + listOf(2u, 1u) to Rational(7, 5), + listOf(0u, 2u) to Rational(8, 1), + listOf(1u, 2u) to Rational(6, 7), + listOf(2u, 2u) to Rational(17, 4), + ) + ) + )), + "test 3'" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-66677, 3500), + listOf(1u) to Rational(-206281, 10500), + listOf(2u) to Rational(-412567, 7056), + listOf(3u) to Rational(-310081, 11025), + listOf(4u) to Rational(-575996, 15435), + listOf(0u, 1u) to Rational(-573701, 4200), + listOf(1u, 1u) to Rational(-2239001, 25200), + listOf(2u, 1u) to Rational(-8817889, 132300), + listOf(3u, 1u) to Rational(2317919, 44100), + listOf(4u, 1u) to Rational(1169471, 6615), + listOf(0u, 2u) to Rational(-4057819, 33600), + listOf(1u, 2u) to Rational(1373311, 12600), + listOf(2u, 2u) to Rational(32433493, 52920), + listOf(3u, 2u) to Rational(4998053, 33075), + listOf(4u, 2u) to Rational(-2147779, 8820), + listOf(0u, 3u) to Rational(2018481, 2240), + listOf(1u, 3u) to Rational(941713, 1440), + listOf(2u, 3u) to Rational(183749, 6615), + listOf(3u, 3u) to Rational(-4631023, 15876), + listOf(4u, 3u) to Rational(25609336, 178605), + listOf(0u, 4u) to Rational(11886431, 6720), + listOf(1u, 4u) to Rational(18433, 504), + listOf(2u, 4u) to Rational(-39613331, 45360), + listOf(3u, 4u) to Rational(681619, 5670), + listOf(4u, 4u) to Rational(-864841, 20412), + listOf(0u, 5u) to Rational(343535, 1008), + listOf(1u, 5u) to Rational(-33583, 72), + listOf(2u, 5u) to Rational(1194625, 9072), + listOf(3u, 5u) to Rational(-62917, 2268), + listOf(4u, 5u) to Rational(157645, 10206), + listOf(0u, 6u) to Rational(-1381, 3), + listOf(1u, 6u) to Rational(919, 36), + listOf(2u, 6u) to Rational(-3053, 36), + listOf(3u, 6u) to Rational(2125, 324), + listOf(4u, 6u) to Rational(-236, 243) + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(1, 4), + listOf(1u) to Rational(-5, 3), + listOf(2u) to Rational(35, 9), + listOf(3u) to Rational(-100, 27), + listOf(4u) to Rational(100, 81), + listOf(0u, 1u) to Rational(-5, 3), + listOf(1u, 1u) to Rational(14, 9), + listOf(2u, 1u) to Rational(1874, 189), + listOf(3u, 1u) to Rational(-620, 63), + listOf(4u, 1u) to Rational(40, 63), + listOf(0u, 2u) to Rational(16, 9), + listOf(1u, 2u) to Rational(365, 21), + listOf(2u, 2u) to Rational(112, 9), + listOf(3u, 2u) to Rational(-464, 63), + listOf(4u, 2u) to Rational(1996, 441), + listOf(0u, 3u) to Rational(10, 3), + listOf(1u, 3u) to Rational(118, 21), + listOf(2u, 3u) to Rational(-272, 21), + listOf(3u, 3u) to Rational(-764, 49), + listOf(4u, 3u) to Rational(8, 7), + listOf(0u, 4u) to Rational(1, 1), + listOf(1u, 4u) to Rational(-10, 7), + listOf(2u, 4u) to Rational(-171, 49), + listOf(3u, 4u) to Rational(20, 7), + listOf(4u, 4u) to Rational(4, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(17, 5), + listOf(1u) to Rational(11, 6), + listOf(2u) to Rational(14, 3), + listOf(0u, 1u) to Rational(17, 1), + listOf(1u, 1u) to Rational(12, 3), + listOf(2u, 1u) to Rational(-6, 2), + listOf(0u, 2u) to Rational(17, 1), + listOf(1u, 2u) to Rational(-4, 3), + listOf(2u, 2u) to Rational(2, 6), + ), + NumberedPolynomialAsIs( + listOf() to Rational(3, 5), + listOf(1u) to Rational(3, 5), + listOf(2u) to Rational(3, 7), + listOf(0u, 1u) to Rational(-3, 8), + listOf(1u, 1u) to Rational(-1, 1), + listOf(2u, 1u) to Rational(17, 9), + listOf(0u, 2u) to Rational(-8, 1), + listOf(1u, 2u) to Rational(6, 4), + listOf(2u, 2u) to Rational(10, 9), + ) + ), + )), + "test 4" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-66677, 3500), + listOf(1u) to Rational(-206281, 10500), + listOf(2u) to Rational(-412567, 7056), + listOf(3u) to Rational(-310081, 11025), + listOf(4u) to Rational(-575996, 15435), + listOf(0u, 1u) to Rational(-573701, 4200), + listOf(1u, 1u) to Rational(-2239001, 25200), + listOf(2u, 1u) to Rational(-8817889, 132300), + listOf(3u, 1u) to Rational(2317919, 44100), + listOf(4u, 1u) to Rational(1169471, 6615), + listOf(0u, 2u) to Rational(-4057819, 33600), + listOf(1u, 2u) to Rational(1373311, 12600), + listOf(2u, 2u) to Rational(32433493, 52920), + listOf(3u, 2u) to Rational(4998053, 33075), + listOf(4u, 2u) to Rational(-2147779, 8820), + listOf(0u, 3u) to Rational(2018481, 2240), + listOf(1u, 3u) to Rational(941713, 1440), + listOf(2u, 3u) to Rational(183749, 6615), + listOf(3u, 3u) to Rational(-4631023, 15876), + listOf(4u, 3u) to Rational(25609336, 178605), + listOf(0u, 4u) to Rational(11886431, 6720), + listOf(1u, 4u) to Rational(18433, 504), + listOf(2u, 4u) to Rational(-39613331, 45360), + listOf(3u, 4u) to Rational(681619, 5670), + listOf(4u, 4u) to Rational(-864841, 20412), + listOf(0u, 5u) to Rational(343535, 1008), + listOf(1u, 5u) to Rational(-33583, 72), + listOf(2u, 5u) to Rational(1194625, 9072), + listOf(3u, 5u) to Rational(-62917, 2268), + listOf(4u, 5u) to Rational(157645, 10206), + listOf(0u, 6u) to Rational(-1381, 3), + listOf(1u, 6u) to Rational(919, 36), + listOf(2u, 6u) to Rational(-3053, 36), + listOf(3u, 6u) to Rational(2125, 324), + listOf(4u, 6u) to Rational(-236, 243) + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(1, 4), + listOf(1u) to Rational(-5, 3), + listOf(2u) to Rational(35, 9), + listOf(3u) to Rational(-100, 27), + listOf(4u) to Rational(100, 81), + listOf(0u, 1u) to Rational(-5, 3), + listOf(1u, 1u) to Rational(14, 9), + listOf(2u, 1u) to Rational(1874, 189), + listOf(3u, 1u) to Rational(-620, 63), + listOf(4u, 1u) to Rational(40, 63), + listOf(0u, 2u) to Rational(16, 9), + listOf(1u, 2u) to Rational(365, 21), + listOf(2u, 2u) to Rational(112, 9), + listOf(3u, 2u) to Rational(-464, 63), + listOf(4u, 2u) to Rational(1996, 441), + listOf(0u, 3u) to Rational(10, 3), + listOf(1u, 3u) to Rational(118, 21), + listOf(2u, 3u) to Rational(-272, 21), + listOf(3u, 3u) to Rational(-764, 49), + listOf(4u, 3u) to Rational(8, 7), + listOf(0u, 4u) to Rational(1, 1), + listOf(1u, 4u) to Rational(-10, 7), + listOf(2u, 4u) to Rational(-171, 49), + listOf(3u, 4u) to Rational(20, 7), + listOf(4u, 4u) to Rational(4, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 0 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(17, 5), + listOf(1u) to Rational(11, 6), + listOf(2u) to Rational(14, 3), + listOf(0u, 1u) to Rational(17, 1), + listOf(1u, 1u) to Rational(12, 3), + listOf(2u, 1u) to Rational(-6, 2), + listOf(0u, 2u) to Rational(17, 1), + listOf(1u, 2u) to Rational(-4, 3), + listOf(2u, 2u) to Rational(2, 6), + ), + NumberedPolynomialAsIs( + listOf() to Rational(3, 5), + listOf(1u) to Rational(3, 5), + listOf(2u) to Rational(3, 7), + listOf(0u, 1u) to Rational(-3, 8), + listOf(1u, 1u) to Rational(-1, 1), + listOf(2u, 1u) to Rational(17, 9), + listOf(0u, 2u) to Rational(-8, 1), + listOf(1u, 2u) to Rational(6, 4), + listOf(2u, 2u) to Rational(10, 9), + ) + ), + 5 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-2, 9), + listOf(1u) to Rational(-6, 3), + listOf(2u) to Rational(10, 9), + listOf(0u, 1u) to Rational(13, 3), + listOf(1u, 1u) to Rational(-12, 4), + listOf(2u, 1u) to Rational(3, 6), + listOf(0u, 2u) to Rational(2, 9), + listOf(1u, 2u) to Rational(7, 3), + listOf(2u, 2u) to Rational(16, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-6, 2), + listOf(1u) to Rational(6, 2), + listOf(2u) to Rational(2, 7), + listOf(0u, 1u) to Rational(-18, 1), + listOf(1u, 1u) to Rational(-11, 3), + listOf(2u, 1u) to Rational(7, 5), + listOf(0u, 2u) to Rational(8, 1), + listOf(1u, 2u) to Rational(6, 7), + listOf(2u, 2u) to Rational(17, 4), + ) + ) + )), + "test 4'" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(3539, 700), + listOf(1u) to Rational(-307079, 6300), + listOf(2u) to Rational(451609, 15120), + listOf(3u) to Rational(35287733, 396900), + listOf(4u) to Rational(-37242617, 396900), + listOf(5u) to Rational(382747, 19845), + listOf(6u) to Rational(-2407, 3969), + listOf(0u, 1u) to Rational(-226, 175), + listOf(1u, 1u) to Rational(-74113, 1890), + listOf(2u, 1u) to Rational(250931, 1764), + listOf(3u, 1u) to Rational(30071473, 99225), + listOf(4u, 1u) to Rational(-286466, 1323), + listOf(5u, 1u) to Rational(-2285282, 9261), + listOf(6u, 1u) to Rational(17900, 441), + listOf(0u, 2u) to Rational(3817, 3150), + listOf(1u, 2u) to Rational(577568, 11025), + listOf(2u, 2u) to Rational(9073553, 99225), + listOf(3u, 2u) to Rational(-1415849, 79380), + listOf(4u, 2u) to Rational(-124715629, 277830), + listOf(5u, 2u) to Rational(-1328953, 1890), + listOf(6u, 2u) to Rational(-297148, 1323), + listOf(0u, 3u) to Rational(6043, 945), + listOf(1u, 3u) to Rational(160381, 6615), + listOf(2u, 3u) to Rational(-673249, 13230), + listOf(3u, 3u) to Rational(-319255, 2058), + listOf(4u, 3u) to Rational(-98144, 1029), + listOf(5u, 3u) to Rational(-320239, 5145), + listOf(6u, 3u) to Rational(400, 147), + listOf(0u, 4u) to Rational(163, 63), + listOf(1u, 4u) to Rational(-25183, 4410), + listOf(2u, 4u) to Rational(-21369, 1372), + listOf(3u, 4u) to Rational(127499, 30870), + listOf(4u, 4u) to Rational(86971, 12348), + listOf(5u, 4u) to Rational(-11129, 1470), + listOf(6u, 4u) to Rational(544, 147) + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(1, 4), + listOf(1u) to Rational(-5, 3), + listOf(2u) to Rational(35, 9), + listOf(3u) to Rational(-100, 27), + listOf(4u) to Rational(100, 81), + listOf(0u, 1u) to Rational(-5, 3), + listOf(1u, 1u) to Rational(14, 9), + listOf(2u, 1u) to Rational(1874, 189), + listOf(3u, 1u) to Rational(-620, 63), + listOf(4u, 1u) to Rational(40, 63), + listOf(0u, 2u) to Rational(16, 9), + listOf(1u, 2u) to Rational(365, 21), + listOf(2u, 2u) to Rational(112, 9), + listOf(3u, 2u) to Rational(-464, 63), + listOf(4u, 2u) to Rational(1996, 441), + listOf(0u, 3u) to Rational(10, 3), + listOf(1u, 3u) to Rational(118, 21), + listOf(2u, 3u) to Rational(-272, 21), + listOf(3u, 3u) to Rational(-764, 49), + listOf(4u, 3u) to Rational(8, 7), + listOf(0u, 4u) to Rational(1, 1), + listOf(1u, 4u) to Rational(-10, 7), + listOf(2u, 4u) to Rational(-171, 49), + listOf(3u, 4u) to Rational(20, 7), + listOf(4u, 4u) to Rational(4, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 1 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(18, 5), + listOf(1u) to Rational(-17, 5), + listOf(2u) to Rational(-2, 7), + listOf(0u, 1u) to Rational(6, 5), + listOf(1u, 1u) to Rational(-5, 1), + listOf(2u, 1u) to Rational(-9, 1), + listOf(0u, 2u) to Rational(-8, 8), + listOf(1u, 2u) to Rational(2, 7), + listOf(2u, 2u) to Rational(-13, 7), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-4, 8), + listOf(1u) to Rational(15, 9), + listOf(2u) to Rational(-10, 9), + listOf(0u, 1u) to Rational(5, 3), + listOf(1u, 1u) to Rational(4, 1), + listOf(2u, 1u) to Rational(-2, 7), + listOf(0u, 2u) to Rational(2, 2), + listOf(1u, 2u) to Rational(-5, 7), + listOf(2u, 2u) to Rational(-18, 9), + ) + ), + )), + "test 5" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(3539, 700), + listOf(1u) to Rational(-307079, 6300), + listOf(2u) to Rational(451609, 15120), + listOf(3u) to Rational(35287733, 396900), + listOf(4u) to Rational(-37242617, 396900), + listOf(5u) to Rational(382747, 19845), + listOf(6u) to Rational(-2407, 3969), + listOf(0u, 1u) to Rational(-226, 175), + listOf(1u, 1u) to Rational(-74113, 1890), + listOf(2u, 1u) to Rational(250931, 1764), + listOf(3u, 1u) to Rational(30071473, 99225), + listOf(4u, 1u) to Rational(-286466, 1323), + listOf(5u, 1u) to Rational(-2285282, 9261), + listOf(6u, 1u) to Rational(17900, 441), + listOf(0u, 2u) to Rational(3817, 3150), + listOf(1u, 2u) to Rational(577568, 11025), + listOf(2u, 2u) to Rational(9073553, 99225), + listOf(3u, 2u) to Rational(-1415849, 79380), + listOf(4u, 2u) to Rational(-124715629, 277830), + listOf(5u, 2u) to Rational(-1328953, 1890), + listOf(6u, 2u) to Rational(-297148, 1323), + listOf(0u, 3u) to Rational(6043, 945), + listOf(1u, 3u) to Rational(160381, 6615), + listOf(2u, 3u) to Rational(-673249, 13230), + listOf(3u, 3u) to Rational(-319255, 2058), + listOf(4u, 3u) to Rational(-98144, 1029), + listOf(5u, 3u) to Rational(-320239, 5145), + listOf(6u, 3u) to Rational(400, 147), + listOf(0u, 4u) to Rational(163, 63), + listOf(1u, 4u) to Rational(-25183, 4410), + listOf(2u, 4u) to Rational(-21369, 1372), + listOf(3u, 4u) to Rational(127499, 30870), + listOf(4u, 4u) to Rational(86971, 12348), + listOf(5u, 4u) to Rational(-11129, 1470), + listOf(6u, 4u) to Rational(544, 147) + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(1, 4), + listOf(1u) to Rational(-5, 3), + listOf(2u) to Rational(35, 9), + listOf(3u) to Rational(-100, 27), + listOf(4u) to Rational(100, 81), + listOf(0u, 1u) to Rational(-5, 3), + listOf(1u, 1u) to Rational(14, 9), + listOf(2u, 1u) to Rational(1874, 189), + listOf(3u, 1u) to Rational(-620, 63), + listOf(4u, 1u) to Rational(40, 63), + listOf(0u, 2u) to Rational(16, 9), + listOf(1u, 2u) to Rational(365, 21), + listOf(2u, 2u) to Rational(112, 9), + listOf(3u, 2u) to Rational(-464, 63), + listOf(4u, 2u) to Rational(1996, 441), + listOf(0u, 3u) to Rational(10, 3), + listOf(1u, 3u) to Rational(118, 21), + listOf(2u, 3u) to Rational(-272, 21), + listOf(3u, 3u) to Rational(-764, 49), + listOf(4u, 3u) to Rational(8, 7), + listOf(0u, 4u) to Rational(1, 1), + listOf(1u, 4u) to Rational(-10, 7), + listOf(2u, 4u) to Rational(-171, 49), + listOf(3u, 4u) to Rational(20, 7), + listOf(4u, 4u) to Rational(4, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 1 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(18, 5), + listOf(1u) to Rational(-17, 5), + listOf(2u) to Rational(-2, 7), + listOf(0u, 1u) to Rational(6, 5), + listOf(1u, 1u) to Rational(-5, 1), + listOf(2u, 1u) to Rational(-9, 1), + listOf(0u, 2u) to Rational(-8, 8), + listOf(1u, 2u) to Rational(2, 7), + listOf(2u, 2u) to Rational(-13, 7), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-4, 8), + listOf(1u) to Rational(15, 9), + listOf(2u) to Rational(-10, 9), + listOf(0u, 1u) to Rational(5, 3), + listOf(1u, 1u) to Rational(4, 1), + listOf(2u, 1u) to Rational(-2, 7), + listOf(0u, 2u) to Rational(2, 2), + listOf(1u, 2u) to Rational(-5, 7), + listOf(2u, 2u) to Rational(-18, 9), + ) + ), + 5 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-2, 9), + listOf(1u) to Rational(-6, 3), + listOf(2u) to Rational(10, 9), + listOf(0u, 1u) to Rational(13, 3), + listOf(1u, 1u) to Rational(-12, 4), + listOf(2u, 1u) to Rational(3, 6), + listOf(0u, 2u) to Rational(2, 9), + listOf(1u, 2u) to Rational(7, 3), + listOf(2u, 2u) to Rational(16, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-6, 2), + listOf(1u) to Rational(6, 2), + listOf(2u) to Rational(2, 7), + listOf(0u, 1u) to Rational(-18, 1), + listOf(1u, 1u) to Rational(-11, 3), + listOf(2u, 1u) to Rational(7, 5), + listOf(0u, 2u) to Rational(8, 1), + listOf(1u, 2u) to Rational(6, 7), + listOf(2u, 2u) to Rational(17, 4), + ) + ) + )), + "test 5'" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(0, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf>()), + "test 6" + ) + assertEquals( + NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ), + NumberedPolynomialAsIs(listOf() to Rational(0, 1), + listOf() to Rational(0, 1) + ) + ), + NumberedPolynomialAsIs( + listOf() to Rational(15, 7), + listOf(1u) to Rational(1, 5), + listOf(2u) to Rational(-7, 4), + listOf(0u, 1u) to Rational(-1, 9), + listOf(1u, 1u) to Rational(-2, 7), + listOf(2u, 1u) to Rational(17, 3), + listOf(0u, 2u) to Rational(2, 6), + listOf(1u, 2u) to Rational(-17, 6), + listOf(2u, 2u) to Rational(-6, 2), + ).substitute(RationalField, mapOf( + 5 to NumberedRationalFunction( + NumberedPolynomialAsIs( + listOf() to Rational(-2, 9), + listOf(1u) to Rational(-6, 3), + listOf(2u) to Rational(10, 9), + listOf(0u, 1u) to Rational(13, 3), + listOf(1u, 1u) to Rational(-12, 4), + listOf(2u, 1u) to Rational(3, 6), + listOf(0u, 2u) to Rational(2, 9), + listOf(1u, 2u) to Rational(7, 3), + listOf(2u, 2u) to Rational(16, 5), + ), + NumberedPolynomialAsIs( + listOf() to Rational(-6, 2), + listOf(1u) to Rational(6, 2), + listOf(2u) to Rational(2, 7), + listOf(0u, 1u) to Rational(-18, 1), + listOf(1u, 1u) to Rational(-11, 3), + listOf(2u, 1u) to Rational(7, 5), + listOf(0u, 2u) to Rational(8, 1), + listOf(1u, 2u) to Rational(6, 7), + listOf(2u, 2u) to Rational(17, 4), + ) + ) + )), + "test 6'" + ) + } + @Test + @Ignore + fun test_RationalFunction_substitute_Double_Map() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substitute_Constant_Map() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substitute_Polynomial_Map() { + // TODO + } + @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_Map() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_substitute_Double_Buffer() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_substitute_Constant_Buffer() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_substitute_Polynomial_Buffer() { + // TODO + } + @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_Polynomial_substitute_RationalFunction_Buffer() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substitute_Double_Buffer() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substitute_Constant_Buffer() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substitute_Polynomial_Buffer() { + // TODO + } + @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_Buffer() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_substituteFully_Double_Buffer() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_substituteFully_Constant_Buffer() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substituteFully_Double_Buffer() { + // TODO + } + @Test + @Ignore + fun test_RationalFunction_substituteFully_Constant_Buffer() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_derivativeWithRespectTo_variable() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_nthDerivativeWithRespectTo_variable_order() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_nthDerivativeWithRespectTo_variablesAndOrders() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_antiderivativeWithRespectTo_variable() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_nthAntiderivativeWithRespectTo_variable_order() { + // TODO + } + @Test + @Ignore + fun test_Polynomial_nthAntiderivativeWithRespectTo_variablesAndOrders() { + // TODO } } \ No newline at end of file