/// <summary>
/// Method for calculating number of combinations from <paramref name="n"/> by <paramref name="k"/> over field <paramref name="field"/>
/// </summary>
/// <param name="field">Field over which combinations count'll calculated</param>
/// <param name="n">Total elements count</param>
/// <param name="k">Selected elements count</param>
/// <param name="combinationsCache">Cache for storing combinations count</param>
/// <returns>Combinations count</returns>
public FieldElement Calculate(GaloisField field, int n, int k, FieldElement[][] combinationsCache = null)
{
var combinationsCount = combinationsCache?[n][k];
if (combinationsCount == null)
{
if (k == 0 || n == k)
{
combinationsCount = field.One();
}
else
{
if (n < k)
{
combinationsCount = field.Zero();
}
else
{
combinationsCount = Calculate(field, n - 1, k - 1, combinationsCache)
+ Calculate(field, n - 1, k, combinationsCache);
}
}
if (combinationsCache != null && n < combinationsCache.Length && k < combinationsCache[n].Length)
{
combinationsCache[n][k] = combinationsCount;
}
}
return(combinationsCount);
}
public void ShouldChangeCoefficients(int coefficientValueRepresentation)
{
// Given
var monomial = new Tuple <int, int>(1, 1);
var polynomial = new BiVariablePolynomial(Gf5)
{
[monomial] = Gf5.One()
};
var coefficientValue = new FieldElement(Gf5, coefficientValueRepresentation);
// When
polynomial[monomial] = coefficientValue;
// Then
Assert.Equal(coefficientValue, polynomial[monomial]);
}
static BiVariablePolynomialTests()
{
Gf5 = new PrimeOrderField(5);
var polynomialForEvoluation = new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 4)
};
EvaluateTestsData = new[]
{
new object[] { polynomialForEvoluation, new FieldElement(Gf5, 1), new FieldElement(Gf5, 3), Gf5.Zero() },
new object[] { polynomialForEvoluation, new FieldElement(Gf5, 2), new FieldElement(Gf5, 4), Gf5.Zero() },
new object[] { polynomialForEvoluation, new FieldElement(Gf5, 3), new FieldElement(Gf5, 2), Gf5.Zero() },
new object[] { polynomialForEvoluation, new FieldElement(Gf5, 2), new FieldElement(Gf5, 3), Gf5.Zero() },
};
AddTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1)
}
}
};
SubtractTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 1)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4)
}
}
};
MultiplyPolynomialsTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 2)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 2)] = new FieldElement(Gf5, 3)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4)
},
new BiVariablePolynomial(Gf5),
new BiVariablePolynomial(Gf5)
}
};
var polynomialForMultiplication = new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
};
MultiplyByFieldElementTestsData = new[]
{
new object[] { polynomialForMultiplication, Gf5.Zero(), new BiVariablePolynomial(Gf5) },
new object[]
{
polynomialForMultiplication, new FieldElement(Gf5, 2),
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 2)
}
}
};
SubstitutionTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 2)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 4),
[new Tuple <int, int>(2, 1)] = new FieldElement(Gf5, 1)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2)
},
new BiVariablePolynomial(Gf5),
new BiVariablePolynomial(Gf5),
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 1)
}
}
};
DivideByXDegreeTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 3)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3)
}
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3)
},
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 3)
}
},
new object[]
{
new BiVariablePolynomial(Gf5),
new BiVariablePolynomial(Gf5)
}
};
EvaluateXTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 1)
},
new FieldElement(Gf5, 1),
new Polynomial(Gf5, 0, 1)
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
},
Gf5.Zero(),
new Polynomial(Gf5, 3)
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 2)] = new FieldElement(Gf5, 1)
},
new FieldElement(Gf5, 3),
new Polynomial(Gf5, 4, 4, 1)
}
};
EvaluateYTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2)
},
new FieldElement(Gf5, 1),
new Polynomial(Gf5, 0, 1)
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1)
},
Gf5.Zero(),
new Polynomial(Gf5, 3)
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 3),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(1, 1)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 2)] = new FieldElement(Gf5, 1)
},
new FieldElement(Gf5, 2),
new Polynomial(Gf5, 3, 0, 2)
}
};
CalculateHasseDerivativeTestsData = new[]
{
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 0)] = new FieldElement(Gf5, 1),
[new Tuple <int, int>(0, 2)] = new FieldElement(Gf5, 1)
},
1, 1, Gf5.One(), Gf5.One(),
Gf5.Zero()
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 2)] = new FieldElement(Gf5, 1)
},
1, 1, Gf5.One(), Gf5.One(),
new FieldElement(Gf5, 4)
},
new object[]
{
new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(0, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(1, 0)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(0, 1)] = new FieldElement(Gf5, 2),
[new Tuple <int, int>(2, 2)] = new FieldElement(Gf5, 1)
},
2, 1, Gf5.One(), Gf5.One(),
new FieldElement(Gf5, 2)
}
};
}
static BiVariablePolynomialTests()
{
Gf5 = new PrimeOrderField(5);
var polynomialForEvoluation = new BiVariablePolynomial(Gf5)
{
[new Tuple <int, int>(1, 1)] = Gf5.CreateElement(2),
[new Tuple <int, int>(0, 1)] = Gf5.One(),
[new Tuple <int, int>(2, 0)] = Gf5.One(),
[new Tuple <int, int>(1, 0)] = Gf5.One(),
[new Tuple <int, int>(0, 0)] = Gf5.CreateElement(4)
};
EvaluateTestsData
= new TheoryData <EvaluationTestCase>
{
new EvaluationTestCase
{
Polynomial = polynomialForEvoluation,
XValue = Gf5.One(),
YValue = Gf5.CreateElement(3),
Expected = Gf5.Zero()
},
new EvaluationTestCase
{
Polynomial = polynomialForEvoluation,
XValue = Gf5.CreateElement(2),
YValue = new FieldElement(Gf5, 4),
Expected = Gf5.Zero()
},
new EvaluationTestCase
{
Polynomial = polynomialForEvoluation,
XValue = Gf5.CreateElement(3),
YValue = Gf5.CreateElement(2),
Expected = Gf5.Zero()
},
new EvaluationTestCase
{
Polynomial = polynomialForEvoluation,
XValue = Gf5.CreateElement(2),
YValue = Gf5.CreateElement(3),
Expected = Gf5.Zero()
},
};
AddTestsData
= new TheoryData <BinaryOperationTestCase>
{
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
}
},
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 1)] = Gf5.CreateElement(4),
[Tuple.Create(0, 0)] = Gf5.CreateElement(4),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3),
[Tuple.Create(0, 0)] = Gf5.One()
}
}
};
SubtractTestsData
= new TheoryData <BinaryOperationTestCase>
{
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(4),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.One()
}
},
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(4),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4)
}
}
};
MultiplyPolynomialsTestsData
= new TheoryData <BinaryOperationTestCase>
{
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3),
[Tuple.Create(1, 1)] = Gf5.CreateElement(2)
}
},
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
SecondOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(4),
[Tuple.Create(1, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4),
[Tuple.Create(2, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 2)] = Gf5.CreateElement(3)
}
},
new BinaryOperationTestCase
{
FirstOperand = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4)
},
SecondOperand = new BiVariablePolynomial(Gf5),
Expected = new BiVariablePolynomial(Gf5)
}
};
var polynomialForMultiplication
= new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.CreateElement(4),
[Tuple.Create(1, 1)] = Gf5.One()
};
MultiplyByFieldElementTestsData
= new TheoryData <MultiplicationByFieldElementTestCase>
{
new MultiplicationByFieldElementTestCase
{
Polynomial = polynomialForMultiplication,
Multiplier = Gf5.Zero(),
Expected = new BiVariablePolynomial(Gf5)
},
new MultiplicationByFieldElementTestCase
{
Polynomial = polynomialForMultiplication,
Multiplier = Gf5.CreateElement(2),
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.CreateElement(4),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3),
[Tuple.Create(1, 1)] = Gf5.CreateElement(2)
}
}
};
SubstitutionTestsData
= new TheoryData <SubstitutionTestCase>
{
new SubstitutionTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2)
},
XSubstitution = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.One()
},
YSubstitution = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 1)] = Gf5.One()
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 1)] = Gf5.CreateElement(2)
}
},
new SubstitutionTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3),
[Tuple.Create(1, 1)] = Gf5.One()
},
XSubstitution = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.One()
},
YSubstitution = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 1)] = Gf5.One()
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.One(),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(1, 1)] = Gf5.CreateElement(4),
[Tuple.Create(2, 1)] = Gf5.One()
}
},
new SubstitutionTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One(),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2)
},
XSubstitution = new BiVariablePolynomial(Gf5),
YSubstitution = new BiVariablePolynomial(Gf5),
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.One()
}
}
};
DivideByXDegreeTestsData
= new TheoryData <DivideByXDegreeTestCase>
{
new DivideByXDegreeTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(1, 1)] = Gf5.CreateElement(3)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3)
}
},
new DivideByXDegreeTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3)
},
Expected = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(3)
}
},
new DivideByXDegreeTestCase
{
Polynomial = new BiVariablePolynomial(Gf5),
Expected = new BiVariablePolynomial(Gf5)
}
};
EvaluateXTestsData
= new TheoryData <PartialEvaluationTestCase>
{
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.One()
},
VariableValue = Gf5.One(),
Expected = new Polynomial(Gf5, 0, 1)
},
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 1)] = Gf5.One()
},
VariableValue = Gf5.Zero(),
Expected = new Polynomial(Gf5, 3)
},
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(2, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.One(),
[Tuple.Create(1, 1)] = Gf5.One(),
[Tuple.Create(0, 2)] = Gf5.One()
},
VariableValue = Gf5.CreateElement(3),
Expected = new Polynomial(Gf5, 4, 4, 1)
}
};
EvaluateYTestsData
= new TheoryData <PartialEvaluationTestCase>
{
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(1, 0)] = Gf5.One(),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2)
},
VariableValue = Gf5.One(),
Expected = new Polynomial(Gf5, 0, 1)
},
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(3),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2),
[Tuple.Create(1, 1)] = Gf5.One()
},
VariableValue = Gf5.Zero(),
Expected = new Polynomial(Gf5, 3)
},
new PartialEvaluationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(3),
[Tuple.Create(2, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.One(),
[Tuple.Create(1, 1)] = Gf5.One(),
[Tuple.Create(0, 2)] = Gf5.One()
},
VariableValue = Gf5.CreateElement(2),
Expected = new Polynomial(Gf5, 3, 0, 2)
}
};
HasseDerivativeCalculationTestsData
= new TheoryData <HasseDerivativeCalculationTestCase>
{
new HasseDerivativeCalculationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2),
[Tuple.Create(2, 0)] = Gf5.One(),
[Tuple.Create(0, 2)] = Gf5.One()
},
R = 1,
S = 1,
XValue = Gf5.One(),
YValue = Gf5.One(),
Expected = Gf5.Zero()
},
new HasseDerivativeCalculationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2),
[Tuple.Create(2, 2)] = Gf5.One()
},
R = 1,
S = 1,
XValue = Gf5.One(),
YValue = Gf5.One(),
Expected = new FieldElement(Gf5, 4)
},
new HasseDerivativeCalculationTestCase
{
Polynomial = new BiVariablePolynomial(Gf5)
{
[Tuple.Create(0, 0)] = Gf5.CreateElement(2),
[Tuple.Create(1, 0)] = Gf5.CreateElement(2),
[Tuple.Create(0, 1)] = Gf5.CreateElement(2),
[Tuple.Create(2, 2)] = Gf5.One()
},
R = 2,
S = 1,
XValue = Gf5.One(),
YValue = Gf5.One(),
Expected = Gf5.CreateElement(2)
}
};
}