private void CalculateFractionRepresentations(JereNumber number)
{
IsNegative = number._denominator == 0 || number._numerator == 0 ? false : number._numerator * number._denominator < 0;
IsZero = number._numerator == 0 && number._denominator != 0;
OriginalNumerator = number.OriginalNumerator;
OriginalDenominator = number.OriginalDenominator;
AsOriginalFraction = $"{OriginalNumerator}/{OriginalDenominator}";
SimplifiedNumerator = number._numerator;
SimplifiedDenominator = number._denominator;
//undefined already taken care of
if (IsZero)
{
AsFraction = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
AsFractionIsNoLoss = true;
AsFractionNoLoss = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
}
else
{
AsFraction = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
if (SimplifiedNumerator.SignificantDigits() < 28 &&
SimplifiedDenominator.SignificantDigits() < 28)
{
AsFractionIsNoLoss = true;
AsFractionNoLoss = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
}
}
}
} //todo as more complicated algebraic forms
public Expression(string originalForm)
{
OriginalForm = originalForm;
if (RegexPatterns.MixedNumberOrFractionOrNumber.IsMatch(originalForm))
{
AsNumber = new JereNumber(originalForm);
IsNumber = true;
Representation = AsNumber.Representation;
}
else if (RegexPatterns.Point2DList.IsMatch(originalForm))
{
AsCartesian2dPoints = new Cartesian2DPoints(originalForm);
IsCartesian2dPoints = true;
Representation = AsCartesian2dPoints.ToString();
}
else if (RegexPatterns.DisplacementVector.IsMatch(originalForm))
{
AsDisplacementVector = new DisplacementVector(originalForm);
IsDisplacementVector = true;
}
else
{
throw new NotImplementedException("wurkin on it");
}
}
private void ProcessDecimal(JereNumber number)
{
AsDecimal = (decimal)number._numerator / (decimal)number._denominator;
//if longer than 28 decimal places = approximate, not rational
//if has repeating decimal pattern, and longer than 28 decimal places = approximate, rational
//https://stackoverflow.com/questions/1315595/algorithm-for-detecting-repeating-decimals
//http://mathworld.wolfram.com/DecimalExpansion.html
//https://softwareengineering.stackexchange.com/questions/192070/what-is-a-efficient-way-to-find-repeating-decimal
//https://www.exceptionnotfound.net/decimal-vs-double-and-other-tips-about-number-types-in-net/
//https://fiziko.bureau42.com/teaching_tidbits/turning_repeating_decimals_into_fractions.pdf
//https://docs.microsoft.com/en-us/dotnet/csharp/language-reference/builtin-types/floating-point-numeric-types
//https://docs.microsoft.com/en-us/dotnet/api/system.decimal.compareto?view=netframework-4.8#System_Decimal_CompareTo_System_Decimal_
//.compareTo() and equals()
//a decimal may have precision of 28-29, does that include left and right? yes
//Precision is 28-29, scale is # of digits after decimal point
//Use brute force method for now
if (AsDecimal.SignificantDigits() < 28) //No loss
{
AsDecimalIsNoLoss = true;
AsDecimalNoLoss = AsDecimal;
ProcessDecimalNoLoss((decimal)AsDecimalNoLoss);
}
else //All lesser types will be approximate too.
{
AsInt = (int)(number._numerator / number._denominator);
AsLong = (long)(number._numerator / number._denominator);
AsDouble = (double)(number._numerator / number._denominator);
}
}
private bool ProcessFraction(JereNumber number)
{
//IsNegative = number._denominator == 0 || _numerator == 0 ? false : _numerator * number._denominator < 0;
//IsZero = number._numerator == 0 && number._denominator != 0;
//OriginalNumerator = number.OriginalNumerator;
//OriginalDenominator = number.OriginalDenominator;
//AsOriginalFraction = $"{OriginalNumerator}/{OriginalDenominator}";
//SimplifiedNumerator = number._numerator;
//SimplifiedDenominator = number._denominator;
//SimplifiedAsFraction = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
return(true);
}
private void PopulateRepresentations(JereNumber number)
{
SimplifiedAsFraction = $"{SimplifiedNumerator}/{SimplifiedDenominator}";
OriginalAsFraction = $"{OriginalNumerator}/{OriginalDenominator}";
CalculateFractionRepresentations(number);
CalculateMixedNumberRepresentations();
if (IsZero)
{
DefaultRepresentation = "0";
}
else if (AsIntNoLoss.HasValue)
{
DefaultRepresentation = AsIntNoLoss.ToString();
}
else if (AsLongNoLoss.HasValue)
{
DefaultRepresentation = AsLongNoLoss.ToString();
}
else if (AsDoubleNoLoss.HasValue)
{
DefaultRepresentation = AsDoubleNoLoss.ToString();
}
else if (AsDecimalNoLoss.HasValue)
{
DefaultRepresentation = AsDecimalNoLoss.ToString();
}
else if (AsMixedNumberNoLoss != null)
{
DefaultRepresentation = AsMixedNumberNoLoss;
}
else if (AsFractionNoLoss != null)
{
DefaultRepresentation = AsFractionNoLoss; //would this ever hit?
}
else
{
DefaultRepresentation = SimplifiedAsFraction; //last one could be approximation if num or denom over 28 Significants long.
}
}
public Point(Expression x, JereNumber y)
{
_x = x;
_y = y;
}
public Metadata(JereNumber number)
{
ProcessDecimal(number);
PopulateRepresentations(number);
}
public Variable(Expression numerator, JereNumber denominator, string representation)
{
Expression = new Expression(new JereNumber(numerator, denominator));
Representation = representation;
IsKnown = true;
}
public Variable(JereNumber numerator, string representation)
{
Expression = numerator;
Representation = representation;
IsKnown = true;
}
public Point(long x, JereNumber y)
{
_x = x;
_y = y;
}
public Point(int x, JereNumber y)
{
_x = x;
_y = y;
}
public Point(JereNumber x, decimal y)
{
_x = x;
_y = y;
}
public Point(JereNumber x, Expression y)
{
_x = x;
_y = y;
}
public Point(JereNumber x, double y)
{
_x = x;
_y = (decimal)y;
}
public Point(JereNumber x, long y)
{
_x = x;
_y = y;
}
public Point(JereNumber x, int y)
{
_x = x;
_y = y;
}
public Point(decimal x, JereNumber y)
{
_x = x;
_y = y;
}
public Point(double x, JereNumber y)
{
_x = (decimal)x;
_y = y;
}