More test tools! More tests!! More fixes of stupid bugs!!! 😭

This commit is contained in:
Gleb Minaev 2022-03-19 19:35:41 +03:00
parent 90a7c4d901
commit 5d4514a742
5 changed files with 387 additions and 10 deletions

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@ -220,7 +220,7 @@ public open class PolynomialSpace<C, A : Ring<C>>(
public override operator fun C.minus(other: Polynomial<C>): Polynomial<C> = public override operator fun C.minus(other: Polynomial<C>): Polynomial<C> =
if (this.isZero()) other if (this.isZero()) other
else with(other.coefficients) { else with(other.coefficients) {
if (isEmpty()) Polynomial(listOf(-this@minus)) if (isEmpty()) Polynomial(listOf(this@minus))
else Polynomial( else Polynomial(
toMutableList() toMutableList()
.apply { .apply {

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@ -6,11 +6,11 @@
package space.kscience.kmath.functions package space.kscience.kmath.functions
import space.kscience.kmath.operations.algebra import space.kscience.kmath.operations.algebra
import space.kscience.kmath.test.misc.Rational import space.kscience.kmath.test.misc.*
import space.kscience.kmath.test.misc.RationalField
import kotlin.test.Test import kotlin.test.Test
import kotlin.test.assertEquals import kotlin.test.assertEquals
class PolynomialTest { class PolynomialTest {
@Test @Test
fun test_Polynomial_Int_plus() { fun test_Polynomial_Int_plus() {
@ -93,6 +93,116 @@ class PolynomialTest {
} }
} }
@Test @Test
fun test_Polynomial_Int_times() {
IntModuloRing(35).polynomial {
assertEquals(
Polynomial(34, 2, 1, 20, 2),
Polynomial(22, 26, 13, 15, 26) * 27,
"test 1"
)
assertEquals(
Polynomial(),
Polynomial(7, 0, 49, 21, 14) * 15,
"test 2"
)
}
}
@Test
fun test_Int_Polynomial_plus() {
RationalField.polynomial {
assertEquals(
Polynomial(Rational(-22, 9), Rational(-8, 9), Rational(-8, 7)),
-3 + Polynomial(Rational(5, 9), Rational(-8, 9), Rational(-8, 7)),
"test 1"
)
assertEquals(
Polynomial(Rational(0), Rational(0), Rational(0), Rational(0)),
2 + Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 2"
)
assertEquals(
Polynomial(),
2 + Polynomial(Rational(-2)),
"test 3"
)
assertEquals(
Polynomial(),
0 + Polynomial(),
"test 4"
)
assertEquals(
Polynomial(Rational(-1), Rational(0), Rational(0), Rational(0)),
1 + Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 5"
)
assertEquals(
Polynomial(Rational(-1)),
1 + Polynomial(Rational(-2)),
"test 6"
)
assertEquals(
Polynomial(Rational(2)),
2 + Polynomial(),
"test 7"
)
}
}
@Test
fun test_Int_Polynomial_minus() {
RationalField.polynomial {
assertEquals(
Polynomial(Rational(32, 9), Rational(-8, 9), Rational(-8, 7)),
3 - Polynomial(Rational(-5, 9), Rational(8, 9), Rational(8, 7)),
"test 1"
)
assertEquals(
Polynomial(Rational(0), Rational(0), Rational(0), Rational(0)),
-2 - Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 2"
)
assertEquals(
Polynomial(),
-2 - Polynomial(Rational(-2)),
"test 3"
)
assertEquals(
Polynomial(),
0 - Polynomial(),
"test 4"
)
assertEquals(
Polynomial(Rational(1), Rational(0), Rational(0), Rational(0)),
-1 - Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 5"
)
assertEquals(
Polynomial(Rational(1)),
-1 - Polynomial(Rational(-2)),
"test 6"
)
assertEquals(
Polynomial(Rational(-2)),
-2 - Polynomial(),
"test 7"
)
}
}
@Test
fun test_Int_Polynomial_times() {
IntModuloRing(35).polynomial {
assertEquals(
Polynomial(34, 2, 1, 20, 2),
27 * Polynomial(22, 26, 13, 15, 26),
"test 1"
)
assertEquals(
Polynomial(),
15 * Polynomial(7, 0, 49, 21, 14),
"test 2"
)
}
}
@Test
fun test_Polynomial_Constant_plus() { fun test_Polynomial_Constant_plus() {
RationalField.polynomial { RationalField.polynomial {
assertEquals( assertEquals(
@ -173,6 +283,116 @@ class PolynomialTest {
} }
} }
@Test @Test
fun test_Polynomial_Constant_times() {
IntModuloRing(35).polynomial {
assertEquals(
Polynomial(34, 2, 1, 20, 2),
Polynomial(22, 26, 13, 15, 26) * number(27),
"test 1"
)
assertEquals(
Polynomial(),
Polynomial(7, 0, 49, 21, 14) * number(15),
"test 2"
)
}
}
@Test
fun test_Constant_Polynomial_plus() {
RationalField.polynomial {
assertEquals(
Polynomial(Rational(-22, 9), Rational(-8, 9), Rational(-8, 7)),
Rational(-3) + Polynomial(Rational(5, 9), Rational(-8, 9), Rational(-8, 7)),
"test 1"
)
assertEquals(
Polynomial(Rational(0), Rational(0), Rational(0), Rational(0)),
Rational(2) + Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 2"
)
assertEquals(
Polynomial(),
Rational(2) + Polynomial(Rational(-2)),
"test 3"
)
assertEquals(
Polynomial(),
Rational(0) + Polynomial(),
"test 4"
)
assertEquals(
Polynomial(Rational(-1), Rational(0), Rational(0), Rational(0)),
Rational(1) + Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 5"
)
assertEquals(
Polynomial(Rational(-1)),
Rational(1) + Polynomial(Rational(-2)),
"test 6"
)
assertEquals(
Polynomial(Rational(2)),
Rational(2) + Polynomial(),
"test 7"
)
}
}
@Test
fun test_Constant_Polynomial_minus() {
RationalField.polynomial {
assertEquals(
Polynomial(Rational(32, 9), Rational(-8, 9), Rational(-8, 7)),
Rational(3) - Polynomial(Rational(-5, 9), Rational(8, 9), Rational(8, 7)),
"test 1"
)
assertEquals(
Polynomial(Rational(0), Rational(0), Rational(0), Rational(0)),
Rational(-2) - Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 2"
)
assertEquals(
Polynomial(),
Rational(-2) - Polynomial(Rational(-2)),
"test 3"
)
assertEquals(
Polynomial(),
Rational(0) - Polynomial(),
"test 4"
)
assertEquals(
Polynomial(Rational(1), Rational(0), Rational(0), Rational(0)),
Rational(-1) - Polynomial(Rational(-2), Rational(0), Rational(0), Rational(0)),
"test 5"
)
assertEquals(
Polynomial(Rational(1)),
Rational(-1) - Polynomial(Rational(-2)),
"test 6"
)
assertEquals(
Polynomial(Rational(-2)),
Rational(-2) - Polynomial(),
"test 7"
)
}
}
@Test
fun test_Constant_Polynomial_times() {
IntModuloRing(35).polynomial {
assertEquals(
Polynomial(34, 2, 1, 20, 2),
27 * Polynomial(22, 26, 13, 15, 26),
"test 1"
)
assertEquals(
Polynomial(),
15 * Polynomial(7, 0, 49, 21, 14),
"test 2"
)
}
}
@Test
fun test_Polynomial_Polynomial_plus() { fun test_Polynomial_Polynomial_plus() {
RationalField.polynomial { RationalField.polynomial {
// (5/9 - 8/9 x - 8/7 x^2) + (-5/7 + 5/1 x + 5/8 x^2) ?= -10/63 + 37/9 x - 29/56 x^2 // (5/9 - 8/9 x - 8/7 x^2) + (-5/7 + 5/1 x + 5/8 x^2) ?= -10/63 + 37/9 x - 29/56 x^2

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@ -0,0 +1,142 @@
/*
* Copyright 2018-2021 KMath contributors.
* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
*/
package space.kscience.kmath.test.misc
import space.kscience.kmath.functions.Polynomial
import space.kscience.kmath.functions.PolynomialSpace
import space.kscience.kmath.misc.UnstableKMathAPI
import space.kscience.kmath.operations.Ring
class IntModulo {
val residue: Int
val modulus: Int
@PublishedApi
internal constructor(residue: Int, modulus: Int, toCheckInput: Boolean = true) {
if (toCheckInput) {
require(modulus != 0) { "modulus can not be zero" }
this.modulus = if (modulus < 0) -modulus else modulus
this.residue = residue.mod(modulus)
} else {
this.residue = residue
this.modulus = modulus
}
}
constructor(residue: Int, modulus: Int) : this(residue, modulus, true)
operator fun unaryPlus(): IntModulo = this
operator fun unaryMinus(): IntModulo =
IntModulo(
if (residue == 0) 0 else modulus - residue,
modulus,
toCheckInput = false
)
operator fun plus(other: IntModulo): IntModulo {
require(modulus == other.modulus) { "can not add two residue different modulo" }
return IntModulo(
(residue + other.residue) % modulus,
modulus,
toCheckInput = false
)
}
operator fun plus(other: Int): IntModulo =
IntModulo(
(residue + other) % modulus,
modulus,
toCheckInput = false
)
operator fun minus(other: IntModulo): IntModulo {
require(modulus == other.modulus) { "can not subtract two residue different modulo" }
return IntModulo(
(residue - other.residue) % modulus,
modulus,
toCheckInput = false
)
}
operator fun minus(other: Int): IntModulo =
IntModulo(
(residue - other) % modulus,
modulus,
toCheckInput = false
)
operator fun times(other: IntModulo): IntModulo {
require(modulus == other.modulus) { "can not multiply two residue different modulo" }
return IntModulo(
(residue * other.residue) % modulus,
modulus,
toCheckInput = false
)
}
operator fun times(other: Int): IntModulo =
IntModulo(
(residue * other) % modulus,
modulus,
toCheckInput = false
)
operator fun div(other: IntModulo): IntModulo {
require(modulus == other.modulus) { "can not divide two residue different modulo" }
val (reciprocalCandidate, gcdOfOtherResidueAndModulus) = bezoutIdentityWithGCD(other.residue, modulus)
require(gcdOfOtherResidueAndModulus == 1) { "can not divide to residue that has non-trivial GCD with modulo" }
return IntModulo(
(residue * reciprocalCandidate) % modulus,
modulus,
toCheckInput = false
)
}
operator fun div(other: Int): IntModulo {
val (reciprocalCandidate, gcdOfOtherResidueAndModulus) = bezoutIdentityWithGCD(other, modulus)
require(gcdOfOtherResidueAndModulus == 1) { "can not divide to residue that has non-trivial GCD with modulo" }
return IntModulo(
(residue * reciprocalCandidate) % modulus,
modulus,
toCheckInput = false
)
}
override fun equals(other: Any?): Boolean =
when (other) {
is IntModulo -> residue == other.residue && modulus == other.modulus
else -> false
}
override fun hashCode(): Int = residue.hashCode()
override fun toString(): String = "$residue mod $modulus"
}
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
@OptIn(UnstableKMathAPI::class)
class IntModuloRing : Ring<IntModulo> {
val modulus: Int
constructor(modulus: Int) {
require(modulus != 0) { "modulus can not be zero" }
this.modulus = if (modulus < 0) -modulus else modulus
}
override inline val zero: IntModulo get() = IntModulo(0, modulus, toCheckInput = false)
override inline val one: IntModulo get() = IntModulo(0, modulus, toCheckInput = false)
fun number(arg: Int) = IntModulo(arg, modulus, toCheckInput = false)
override inline fun add(left: IntModulo, right: IntModulo): IntModulo = left + right
override inline fun multiply(left: IntModulo, right: IntModulo): IntModulo = left * right
override inline fun IntModulo.unaryMinus(): IntModulo = -this
override inline fun IntModulo.plus(arg: IntModulo): IntModulo = this + arg
override inline fun IntModulo.minus(arg: IntModulo): IntModulo = this - arg
override inline fun IntModulo.times(arg: IntModulo): IntModulo = this * arg
inline fun IntModulo.div(arg: IntModulo): IntModulo = this / arg
}
fun PolynomialSpace<IntModulo, IntModuloRing>.number(arg: Int) = IntModulo(arg, ring.modulus, toCheckInput = false)
fun PolynomialSpace<IntModulo, IntModuloRing>.Polynomial(vararg coefs: Int): Polynomial<IntModulo> =
Polynomial(coefs.map { IntModulo(it, ring.modulus) })
fun IntModuloRing.Polynomial(vararg coefs: Int): Polynomial<IntModulo> =
Polynomial(coefs.map { IntModulo(it, modulus) })

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@ -114,10 +114,6 @@ class Rational {
override fun toString(): String = if (denominator == 1L) "$numerator" else "$numerator/$denominator" override fun toString(): String = if (denominator == 1L) "$numerator" else "$numerator/$denominator"
} }
/**
* Algebraic structure for rational numbers.
*/
@Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE") @Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
@OptIn(UnstableKMathAPI::class) @OptIn(UnstableKMathAPI::class)
object RationalField : Field<Rational>, NumbersAddOps<Rational> { object RationalField : Field<Rational>, NumbersAddOps<Rational> {

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@ -5,8 +5,27 @@
package space.kscience.kmath.test.misc package space.kscience.kmath.test.misc
import kotlin.math.abs
// TODO: Move to corresponding module "kmath-number-theory" // TODO: Move to corresponding module "kmath-number-theory"
tailrec fun gcd(a: Long, b: Long): Long = if (a == 0L) abs(b) else gcd(b % a, a) import kotlin.math.abs
data class BezoutIdentityWithGCD<T>(val first: T, val second: T, val gcd: T)
tailrec fun gcd(a: Long, b: Long): Long = if (a == 0L) abs(b) else gcd(b % a, a)
fun bezoutIdentityWithGCD(a: Int, b: Int): BezoutIdentityWithGCD<Int> =
when {
a < 0 && b < 0 -> with(bezoutIdentityWithGCDInternalLogic(-a, -b, 1, 0, 0, 1)) { BezoutIdentityWithGCD(-first, -second, gcd) }
a < 0 -> with(bezoutIdentityWithGCDInternalLogic(-a, b, 1, 0, 0, 1)) { BezoutIdentityWithGCD(-first, second, gcd) }
b < 0 -> with(bezoutIdentityWithGCDInternalLogic(a, -b, 1, 0, 0, 1)) { BezoutIdentityWithGCD(first, -second, gcd) }
else -> bezoutIdentityWithGCDInternalLogic(a, b, 1, 0, 0, 1)
}
internal tailrec fun bezoutIdentityWithGCDInternalLogic(a: Int, b: Int, m1: Int, m2: Int, m3: Int, m4: Int): BezoutIdentityWithGCD<Int> =
if (b == 0) BezoutIdentityWithGCD(m1, m3, a)
else {
val quotient = a / b
val reminder = a % b
bezoutIdentityWithGCDInternalLogic(b, reminder, m2, m1 - quotient * m2, m4, m3 - quotient * m4)
}