kmath/test-utils/src/commonMain/kotlin/RingVerifier.kt

36 lines
1.9 KiB
Kotlin

/*
* 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.testutils
import space.kscience.kmath.operations.Ring
import space.kscience.kmath.operations.ScaleOperations
import space.kscience.kmath.operations.invoke
import kotlin.test.assertEquals
public open class RingVerifier<T, out A>(algebra: A, a: T, b: T, c: T, x: Number) :
SpaceVerifier<T, A>(algebra, a, b, c, x) where A : Ring<T>, A : ScaleOperations<T> {
override fun verify() {
super.verify()
algebra {
assertEquals(a + b, b + a, "Addition in $algebra is not commutative.")
assertEquals(a * b * c, a * (b * c), "Multiplication in $algebra is not associative.")
assertEquals(c * (a + b), (c * a) + (c * b), "Multiplication in $algebra is not distributive.")
assertEquals(a * one, one * a, "$one in $algebra is not a neutral multiplication element.")
assertEquals(a, one * a, "$one in $algebra is not a neutral multiplication element.")
assertEquals(a, a * one, "$one in $algebra is not a neutral multiplication element.")
assertEquals(a, one * a, "$one in $algebra is not a neutral multiplication element.")
assertEquals(a, a * one * one, "Multiplication by $one in $algebra is not idempotent.")
assertEquals(a, a * one * one * one, "Multiplication by $one in $algebra is not idempotent.")
assertEquals(a, a * one * one * one * one, "Multiplication by $one in $algebra is not idempotent.")
assertEquals(zero, a * zero, "Multiplication by $zero in $algebra doesn't give $zero.")
assertEquals(zero, zero * a, "Multiplication by $zero in $algebra doesn't give $zero.")
assertEquals(a * zero, a * zero, "Multiplication by $zero in $algebra doesn't give $zero.")
}
}
}