using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using Azimuth.Polynomials;

namespace Azimuth.UnitTests.Polynomials
{
    public class RationalTests : UnitTestSharp.TestFixture
    {
        public void Basic()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                5, -6, 1,
                1, 1
            });

            var rational = new Rational(coefficients, numeratorTerms: 3);
            CheckEqual(0, rational.Evaluate(1));
            CheckEqual(-1, rational.Evaluate(2));
            CheckEqual(-1, rational.Evaluate(3));
            CheckEqual(-3.0/5, rational.Evaluate(4));
        }

        public void EvaluateAtZero()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                5, -6, 7,
                8, 9,
            });

            var rational = new Rational(coefficients, numeratorTerms: 3);
            CheckEqual(5.0/8.0, rational.EvaluateAtZero());
        }

        public void EvaluateAtOne()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                5, -6, 7,
                8, 9,
            });

            var rational = new Rational(coefficients, numeratorTerms: 3);
            CheckEqual(6.0/17.0, rational.EvaluateAtOne());
        }

        public void ZeroNumeratorTerms()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                1, 1
            });

            var rational = new Rational(coefficients, numeratorTerms: 0);
            CheckEqual(0, rational.Evaluate(1));
        }

        public void ZeroDenominatorTerms()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                1, 1
            });

            CheckThrow(typeof(ArgumentException));
            new Rational(coefficients, numeratorTerms: 2);
        }

        public void NegativeNumeratorTerms()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                1, 1
            });

            CheckThrow(typeof(ArgumentException));
            new Rational(coefficients, numeratorTerms: -1);
        }

        public void TooManyNumeratorTerms()
        {
            var coefficients = new DenseVector(new Scalar[]
            {
                1, 1
            });

            CheckThrow(typeof(ArgumentException));
            new Rational(coefficients, numeratorTerms: 3);
        }
    }
}