Fix incorrect properties in verifier classes
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@ -12,6 +12,8 @@ internal class FieldVerifier<T>(override val algebra: Field<T>, a: T, b: T, c: T
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super.verify()
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algebra {
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assertEquals(a + b, b + a, "Addition in $algebra is not commutative.")
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assertEquals(a * b, b * a, "Multiplication in $algebra is not commutative.")
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assertNotEquals(a / b, b / a, "Division in $algebra is not anti-commutative.")
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assertNotEquals((a / b) / c, a / (b / c), "Division in $algebra is associative.")
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assertEquals((a + b) / c, (a / c) + (b / c), "Division in $algebra is not right-distributive.")
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@ -10,7 +10,7 @@ internal open class RingVerifier<T>(override val algebra: Ring<T>, a: T, b: T, c
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super.verify()
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algebra {
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assertEquals(a * b, a * b, "Multiplication in $algebra is not commutative.")
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assertEquals(a + b, b + a, "Addition in $algebra is not commutative.")
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assertEquals(a * b * c, a * (b * c), "Multiplication in $algebra is not associative.")
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assertEquals(c * (a + b), (c * a) + (c * b), "Multiplication in $algebra is not distributive.")
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assertEquals(a * one, one * a, "$one in $algebra is not a neutral multiplication element.")
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@ -15,7 +15,6 @@ internal open class SpaceVerifier<T>(
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AlgebraicVerifier<T, Space<T>> {
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override fun verify() {
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algebra {
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assertEquals(a + b, b + a, "Addition in $algebra is not commutative.")
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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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