internal GenericGFPoly[] longDivide(GenericGFPoly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GenericGFPolys do not have same GenericGF field");
}
if (other.isZero)
{
throw new ArgumentException("Divide by 0");
}
var quotient = field.Zero;
var remainder = this;
while (remainder.Degree >= other.Degree)
{
var degreeDifference = remainder.Degree - other.Degree;
var shifted = other.multiplyByMonomial(degreeDifference, 1);
var resultOfSingleDivide = field.divide(remainder.getCoefficient(remainder.Degree),
shifted.getCoefficient(shifted.Degree));
var iterationQuotient = new GenericGFPoly(field, new[] { resultOfSingleDivide });
iterationQuotient = iterationQuotient.multiplyByMonomial(degreeDifference, 1);
quotient = quotient.addOrSubtract(iterationQuotient);
shifted = shifted.multiply(resultOfSingleDivide);
remainder = remainder.addOrSubtract(shifted);
}
return(new [] { quotient, remainder });
}
internal GenericGFPoly[] divide(GenericGFPoly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GenericGFPolys do not have same GenericGF field");
}
if (other.isZero)
{
throw new ArgumentException("Divide by 0");
}
GenericGFPoly quotient = field.Zero;
GenericGFPoly remainder = this;
int denominatorLeadingTerm = other.getCoefficient(other.Degree);
int inverseDenominatorLeadingTerm = field.inverse(denominatorLeadingTerm);
while (remainder.Degree >= other.Degree && !remainder.isZero)
{
int degreeDifference = remainder.Degree - other.Degree;
int scale = field.multiply(remainder.getCoefficient(remainder.Degree), inverseDenominatorLeadingTerm);
GenericGFPoly term = other.multiplyByMonomial(degreeDifference, scale);
GenericGFPoly iterationQuotient = field.buildMonomial(degreeDifference, scale);
quotient = quotient.addOrSubtract(iterationQuotient);
remainder = remainder.addOrSubtract(term);
}
return(new GenericGFPoly[] { quotient, remainder });
}
internal GenericGFPoly[] longDivide(GenericGFPoly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GenericGFPolys do not have same GenericGF field");
}
if (other.isZero)
{
throw new ArgumentException("Divide by 0");
}
var quotient = field.Zero;
var remainder = this;
while (remainder.Degree >= other.Degree)
{
var degreeDifference = remainder.Degree - other.Degree;
var shifted = other.multiplyByMonomial(degreeDifference, 1);
var resultOfSingleDivide = field.divide(remainder.getCoefficient(remainder.Degree),
shifted.getCoefficient(shifted.Degree));
var iterationQuotient = new GenericGFPoly(field, new[] { resultOfSingleDivide });
iterationQuotient = iterationQuotient.multiplyByMonomial(degreeDifference, 1);
quotient = quotient.addOrSubtract(iterationQuotient);
shifted = shifted.multiply(resultOfSingleDivide);
remainder = remainder.addOrSubtract(shifted);
}
return new [] { quotient, remainder };
}
internal GenericGFPoly[] divide(GenericGFPoly other)
{
if (!field.Equals(other.field))
{
throw new ArgumentException("GenericGFPolys do not have same GenericGF field");
}
if (other.isZero)
{
throw new ArgumentException("Divide by 0");
}
GenericGFPoly quotient = field.Zero;
GenericGFPoly remainder = this;
int denominatorLeadingTerm = other.getCoefficient(other.Degree);
int inverseDenominatorLeadingTerm = field.inverse(denominatorLeadingTerm);
while (remainder.Degree >= other.Degree && !remainder.isZero)
{
int degreeDifference = remainder.Degree - other.Degree;
int scale = field.multiply(remainder.getCoefficient(remainder.Degree), inverseDenominatorLeadingTerm);
GenericGFPoly term = other.multiplyByMonomial(degreeDifference, scale);
GenericGFPoly iterationQuotient = field.buildMonomial(degreeDifference, scale);
quotient = quotient.addOrSubtract(iterationQuotient);
remainder = remainder.addOrSubtract(term);
}
return new GenericGFPoly[] { quotient, remainder };
}