public Polynomial pow(int exp) { if (exp == 0) return valueOf(new Number[] {baseRing.getONE()}); if (exp == 1) return valueOf(this.getCoeffs()); if (exp < 0) throw new IllegalArgumentException("Tried to raise a Polynomial to a negative power"); Polynomial res = valueOf(new Number[] {baseRing.getONE()}); Polynomial currentPower = this; int ex = exp; while (ex != 0) { if ((ex & 1) == 1) res = res.mul(currentPower); ex >>= 1; if (ex == 0) break; currentPower = currentPower.mul(currentPower); } return res; }
public String toString() { if (degree == 0) return coeffs[0].toString(); StringBuffer sb = new StringBuffer(""); for (int i = degree; i >= 0; --i) { String s = coeffs[i].toString(); // don't bother if a zero coeff if (s.equals("0") || this.baseRing.equals(coeffs[i], baseRing.getZERO())) continue; // apart from first add a + sign if positive if (i != degree && !s.startsWith("-")) sb.append("+"); // always print the final coeff (if non zero) if (i == 0) { String s1 = coeffs[i].toString(); sb.append(s1); // if(s1.startsWith("(") && s1.endsWith(")")) // { // sb.append(s1.substring(1,s1.length()-1)); // } // else sb.append(s1); break; } // if its -1 t^i just print - if (s.equals("-1")) sb.append("-"); else if (s.equals("1") || this.baseRing.equals(coeffs[i], baseRing.getONE())) { } // don't print 1 else { if (needsBrackets(coeffs[i].toString())) { sb.append("("); sb.append(coeffs[i].toString()); sb.append(")"); } else sb.append(coeffs[i].toString()); // sb.append(stripBrackets(coeffs[i])); sb.append(" "); } if (i >= 2) sb.append(symbol + "^" + i); else if (i == 1) sb.append(symbol); } sb.append(""); return sb.toString(); }