38 lines
1.9 KiB
Kotlin
38 lines
1.9 KiB
Kotlin
/*
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* Copyright 2018-2022 KMath contributors.
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* Use of this source code is governed by the Apache 2.0 license that can be found in the license/LICENSE.txt file.
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*/
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package space.kscience.kmath.testutils
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import space.kscience.kmath.operations.Ring
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import space.kscience.kmath.operations.ScaleOperations
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import space.kscience.kmath.operations.invoke
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import kotlin.test.assertEquals
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import kotlin.test.assertNotEquals
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public open class SpaceVerifier<T, out S>(
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override val algebra: S,
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public val a: T,
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public val b: T,
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public val c: T,
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public val x: Number,
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) : AlgebraicVerifier<T, Ring<T>> where S : Ring<T>, S : ScaleOperations<T> {
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override fun verify() {
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algebra {
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assertEquals(a + b + c, a + (b + c), "Addition in $algebra is not associative.")
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assertEquals(x * (a + b), x * a + x * b, "Addition in $algebra is not distributive.")
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assertEquals((a + b) * x, a * x + b * x, "Addition in $algebra is not distributive.")
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assertEquals(a + zero, zero + a, "$zero in $algebra is not a neutral addition element.")
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assertEquals(a, a + zero, "$zero in $algebra is not a neutral addition element.")
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assertEquals(a, zero + a, "$zero in $algebra is not a neutral addition element.")
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assertEquals(a - b, -(b - a), "Subtraction in $algebra is not anti-commutative.")
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assertNotEquals(a - b - c, a - (b - c), "Subtraction in $algebra is associative.")
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assertEquals(x * (a - b), x * a - x * b, "Subtraction in $algebra is not distributive.")
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assertEquals(a, a - zero, "$zero in $algebra is not a neutral addition element.")
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assertEquals(a * x, x * a, "Multiplication by scalar in $algebra is not commutative.")
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assertEquals(x * (a + b), (x * a) + (x * b), "Multiplication by scalar in $algebra is not distributive.")
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}
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}
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}
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