GenericGFPoly multiplyByMonomial(int degree, int coefficient) { if (degree < 0) { throw new IllegalArgumentException(); } if (coefficient == 0) { return field.getZero(); } int size = coefficients.length; int[] product = new int[size + degree]; for (int i = 0; i < size; i++) { product[i] = field.multiply(coefficients[i], coefficient); } return new GenericGFPoly(field, product); }
GenericGFPoly multiplyByMonomial(int degree, int coefficient) { if (degree < 0) { throw new IllegalArgumentException(); } if (coefficient == 0) { return field.getZero(); } int size = coefficients.length; int[] product = new int[size + degree]; for (int i = 0; i < size; i++) { product[i] = field.multiply(coefficients[i], coefficient); } return new GenericGFPoly(field, product); }
GenericGFPoly multiply(int scalar) { if (scalar == 0) { return field.getZero(); } if (scalar == 1) { return this; } int size = coefficients.length; int[] product = new int[size]; for (int i = 0; i < size; i++) { product[i] = field.multiply(coefficients[i], scalar); } return new GenericGFPoly(field, product); }
GenericGFPoly multiply(int scalar) { if (scalar == 0) { return field.getZero(); } if (scalar == 1) { return this; } int size = coefficients.length; int[] product = new int[size]; for (int i = 0; i < size; i++) { product[i] = field.multiply(coefficients[i], scalar); } return new GenericGFPoly(field, product); }
GenericGFPoly multiply(GenericGFPoly other) { if (!field.equals(other.field)) { throw new IllegalArgumentException("GenericGFPolys do not have same GenericGF field"); } if (isZero() || other.isZero()) { return field.getZero(); } int[] aCoefficients = this.coefficients; int aLength = aCoefficients.length; int[] bCoefficients = other.coefficients; int bLength = bCoefficients.length; int[] product = new int[aLength + bLength - 1]; for (int i = 0; i < aLength; i++) { int aCoeff = aCoefficients[i]; for (int j = 0; j < bLength; j++) { product[i + j] = GenericGF.addOrSubtract(product[i + j], field.multiply(aCoeff, bCoefficients[j])); } } return new GenericGFPoly(field, product); }
GenericGFPoly multiply(GenericGFPoly other) { if (!field.equals(other.field)) { throw new IllegalArgumentException("GenericGFPolys do not have same GenericGF field"); } if (isZero() || other.isZero()) { return field.getZero(); } int[] aCoefficients = this.coefficients; int aLength = aCoefficients.length; int[] bCoefficients = other.coefficients; int bLength = bCoefficients.length; int[] product = new int[aLength + bLength - 1]; for (int i = 0; i < aLength; i++) { int aCoeff = aCoefficients[i]; for (int j = 0; j < bLength; j++) { product[i + j] = GenericGF.addOrSubtract(product[i + j], field.multiply(aCoeff, bCoefficients[j])); } } return new GenericGFPoly(field, product); }
GenericGFPoly[] divide(GenericGFPoly other) { if (!field.equals(other.field)) { throw new IllegalArgumentException("GenericGFPolys do not have same GenericGF field"); } if (other.isZero()) { throw new IllegalArgumentException("Divide by 0"); } GenericGFPoly quotient = field.getZero(); GenericGFPoly remainder = this; int denominatorLeadingTerm = other.getCoefficient(other.getDegree()); int inverseDenominatorLeadingTerm = field.inverse(denominatorLeadingTerm); while (remainder.getDegree() >= other.getDegree() && !remainder.isZero()) { int degreeDifference = remainder.getDegree() - other.getDegree(); int scale = field.multiply(remainder.getCoefficient(remainder.getDegree()), 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 }; }
GenericGFPoly[] divide(GenericGFPoly other) { if (!field.equals(other.field)) { throw new IllegalArgumentException("GenericGFPolys do not have same GenericGF field"); } if (other.isZero()) { throw new IllegalArgumentException("Divide by 0"); } GenericGFPoly quotient = field.getZero(); GenericGFPoly remainder = this; int denominatorLeadingTerm = other.getCoefficient(other.getDegree()); int inverseDenominatorLeadingTerm = field.inverse(denominatorLeadingTerm); while (remainder.getDegree() >= other.getDegree() && !remainder.isZero()) { int degreeDifference = remainder.getDegree() - other.getDegree(); int scale = field.multiply(remainder.getCoefficient(remainder.getDegree()), 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 }; }