/// <summary>
/// Разбивает дробь на левую и правую отзнака неравенства части
/// </summary>
/// <param name="generationKey">ключ генерации</param>
void GenerateLeftAndRightSides(GenerationKey generationKey)
{
Random rnd = new Random(generationKey.Seed);
LeftSide = new List <Fraction>();
RightSide = new List <Fraction>();
List <Fraction> fracList = BigFraction.DecomposeAmountOfFractions(generationKey);
if (fracList.Count() == 1)
{
fracList[0].MultiplyPolynominal(generationKey.Seed, settings);
}
for (int i = 0; i < fracList.Count; i++)
{
int rndValue = rnd.Next(2);
if (rndValue == 0)
{
LeftSide.Add(fracList[i]);
}
else
{
RightSide.Add(-fracList[i]);
}
}
}
internal Inequality(GenerationKey generationKey)
{
Random rnd = new Random(generationKey.Seed);
settings = generationKey.Settings;
Fraction bigFraction = new Fraction(generationKey);
BigFraction = bigFraction;
Answer = bigFraction.Answer;
Sign = bigFraction.Sign ? "<" : ">";
Sign += Answer.StrictInequality ? "" : "=";
if (Sign == "<=")
{
Sign = "⩽";
}
else if (Sign == ">=")
{
Sign = "⩾";
}
GenerationKey = generationKey;
if (!settings.OneFraction)
{
GenerateLeftAndRightSides(generationKey);
}
else
{
bigFraction.MultiplyPolynominal(generationKey.Seed, settings);
LeftSide = new List <Fraction> {
bigFraction
};
RightSide = new List <Fraction>();
}
if (settings.PowerFunc && Answer.IsPowerBorders)
{
Fraction root = rnd.Next(-50, 51);
Polynomial argument = new Polynomial("x", root);
PowerFunc powFunc = new PowerFunc(argument, Answer.PowerBase);
Subs(powFunc);
}
else if (settings.Radical && Answer.MinPoint() >= (double)0 && Answer.MaxPoint() > (double)10)
{
Fraction root = rnd.Next(-200, 201);
Polynomial argument = new Polynomial("x", root);
Radical radical = new Radical(argument);
Subs(radical);
}
else if (settings.Log && Answer.MinPoint() >= (double)-10 && Answer.MaxPoint() <= (double)10 && Answer.AreAllPointsInteger())
{
Fraction root = rnd.Next(-100, 100);
Polynomial argument = new Polynomial("x", root);
int rndBase = rnd.Next(6) == 0 ? 2 : 3;
Fraction @base = Answer.MinPoint() >= (double)-5 && Answer.MaxPoint() <= (double)5 ? rndBase : 2;
Log log = new Log(argument, @base);
Subs(log);
}
}
internal Part(GenerationKey key)
{
//Передаем характиристики варианта
CountOfTasks = key.CountOfTasks; //Количество заданий
MetSeeds = new List <int>();
//Лист с заданиями
List <Inequality> tasks = new List <Inequality>();
//Заполняем лист заданиями
for (int i = 0; i < key.CountOfTasks; i++)
{
if (!MetSeeds.Contains(key.Seed))
{
MetSeeds.Add(key.Seed);
Inequality task = null;
try
{
task = new Inequality(key);
}
catch (OverflowException)
{
i--;
continue;
}
catch (DivideByZeroException)
{
i--;
continue;
}
if (task.ToHTML().Contains("/0"))
{
i--;
continue;
}
tasks.Add(task);
}
else
{
i--;
}
key++;
}
Tasks = tasks;
}
internal Intervals(GenerationKey generationKey)
{
Random rnd = new Random(generationKey.Seed);
int key = generationKey.Seed;
int countOfTasks = generationKey.CountOfTasks;
settings = generationKey.Settings;
RootsOfMultiplicityTwo = new List <Fraction>();
NotIncludedPoints = new List <Fraction>();
IncludedPoints = new List <Fraction>();
LeftPoints = new List <Fraction>();
RightPoints = new List <Fraction>();
StrictInequality = rnd.Next(2) == 0;
IncludedPoints = new List <Fraction>();
Points = GenerateIntervalBorders(key + countOfTasks);
IntervalString = GenerateInterval(key + countOfTasks, Points);
StartFromFirstGap = IntervalString[IntervalString.Length - 2] == 'f';
NotIncludedPoints = GetNotIncludedPoints();
IntervalsList = GetIntervalsList();
}
internal Fraction(GenerationKey generationKey)
{
Answer = new Intervals(generationKey);
Sign = !Answer.StartFromFirstGap;
settings = generationKey.Settings;
Numenator = new List <Polynomial>();
foreach (var point in Answer.IncludedPoints)
{
Numenator.Add(new Polynomial("x", point));
}
Denominator = new List <Polynomial>();
foreach (var point in Answer.NotIncludedPoints)
{
Denominator.Add(new Polynomial("x", point));
}
//Создаем числитель
//Numenator = CreateExpression(generationKey, Answer.IncludedPoints.GetRange(0, Answer.IncludedPoints.Count()));
//Создаем занаменатель
//Denominator = CreateExpression(generationKey, Answer.NotIncludedPoints.GetRange(0, Answer.NotIncludedPoints.Count()));
}
internal List <Fraction> DecomposeAmountOfFractions(GenerationKey generationKey)
{
List <Fraction> result = new List <Fraction> {
this
};
Random rnd = new Random(generationKey.Seed);
int sumNumenatorPowers = SumOfPowersPoly(Numenator);
if (sumNumenatorPowers >= 1 && Denominator.Count == 1 && sumNumenatorPowers <= settings.MaxPowerPolynomial)
{
result = new List <Fraction>();
List <Polynomial> numenator1 = new List <Polynomial>();
List <Polynomial> numenator2 = new List <Polynomial>();
List <Polynomial> denomenator1 = new List <Polynomial>();
List <Polynomial> denomenator2 = new List <Polynomial>();
Polynomial bigPoly = new Polynomial();
foreach (Polynomial poly in Numenator)
{
bigPoly *= poly;
}
if (bigPoly.CountNotZeroOdds() > 1)
{
int coef = rnd.Next(-10, 10);
coef = coef >= 0 ? coef + 1 : coef;
Denominator[0] *= coef;
Numenator[0] *= coef;
int endOdd = rnd.Next(bigPoly.Power);
numenator2.Add(bigPoly.SeparatePart(endOdd));
Polynomial newPoly = bigPoly - numenator2[0];
numenator1.Add(newPoly);
denomenator1.Add(Denominator[0]);
denomenator2.Add(Denominator[0]);
(denomenator1[0], numenator1[0]) = denomenator1[0].Reduction(numenator1[0]);
(denomenator2[0], numenator2[0]) = denomenator2[0].Reduction(numenator2[0]);
Fraction newFraction1 = new Fraction(numenator1, denomenator1);
Fraction newFraction2 = new Fraction(numenator2, denomenator2);
result.Add(newFraction1);
result.Add(newFraction2);
}
else
{
return(new List <Fraction> {
this
});
}
}
else if (Denominator.Count == 1 && sumNumenatorPowers >= settings.MaxPowerPolynomial)
{
}
else if (Denominator.Count > 1)
{
//Многочлены, на которые умножаются параметры
List <Polynomial> factorsСommonВenominator = new List <Polynomial>();
//Знаменатели дробей полученные после разложения
List <Polynomial> resultDenominators = new List <Polynomial>();
int maxPower = 0;
//Многочлен, который на который мы будем равнятся при поиске параметров
Polynomial bigPoly = new Polynomial();
List <Polynomial> outOfBrackets = new List <Polynomial>();
try
{
foreach (var poly in Denominator)
{
resultDenominators.Add(poly);
int power = 0;
Polynomial benominator = new Polynomial();
foreach (var poly1 in Denominator)
{
if (poly1 != poly)
{
benominator *= poly1;
power += poly1.Power;
}
}
factorsСommonВenominator.Add(benominator);
maxPower = power > maxPower ? power : maxPower;
}
foreach (Polynomial poly in Numenator)
{
if (bigPoly.Power < maxPower)
{
bigPoly *= poly;
}
else
{
outOfBrackets.Add(poly);
}
}
}
catch (OverflowException)
{
return(result);
}
//Составляем уравнения системы
List <Dictionary <char, Fraction> > vcList = new List <Dictionary <char, Fraction> >();
for (int i = 0; i <= maxPower; i++)
{
vcList.Add(new Dictionary <char, Fraction>());
}
for (int i = 0; i < factorsСommonВenominator.Count; i++)
{
Polynomial poly = factorsСommonВenominator[i];
for (int j = 0; j <= poly.Power; j++)
{
vcList[j].Add((char)('A' + i), poly.Odds[j]);
}
}
//Составляем систему и решаем ее
List <Equation> equations = new List <Equation>();
for (int i = 0; i < vcList.Count; i++)
{
if (bigPoly.Power >= i)
{
equations.Add(new Equation(vcList[i], -bigPoly.Odds[i]));
}
else
{
equations.Add(new Equation(vcList[i], 0));
}
}
EquationSystem eqSys = new EquationSystem(equations);
Dictionary <char, Fraction> systemAnswers;
try
{
systemAnswers = eqSys.Solve();
}
catch (OverflowException)
{
return(result);
}
if (systemAnswers.Count == 0)
{
return(result);
}
//Составляем начальные дроби
result = new List <Fraction>();
List <Polynomial> zeroFractionsDenoms = new List <Polynomial>();
for (int i = 0; i < systemAnswers.Count; i++)
{
if (systemAnswers[(char)('A' + i)] != (double)0)
{
result.Add(new Fraction(systemAnswers[(char)('A' + i)], resultDenominators[i]));
}
else
{
zeroFractionsDenoms.Add(resultDenominators[i]);
}
}
//Приводим все к красивому вижу и предотвращаем потерю корней
for (int i = 0; i < result.Count; i++)
{
for (int j = 0; j < zeroFractionsDenoms.Count; j++)
{
result[i].Denominator.Add(zeroFractionsDenoms[j]);
result[i].Numenator.Add(zeroFractionsDenoms[j]);
}
}
for (int i = 0; i < result.Count; i++)
{
foreach (var outFraction in outOfBrackets)
{
result[i].Numenator.Add(outFraction);
}
}
}
bool isOddsBig = false;
foreach (Fraction frac in result)
{
foreach (Polynomial poly in frac.Numenator)
{
foreach (Fraction odd in poly.Odds)
{
if (Math.Abs(odd.IntNumenator) >= 1000 || Math.Abs(odd.IntDenominator) >= 1000)
{
isOddsBig = true;
}
}
}
}
if (isOddsBig)
{
return(new List <Fraction> {
this
});
}
else
{
return(result);
}
}