Java实现一个分数类

Java实验写一个分数类

（1）分数是指两个整数的比。分数本身可以构造和约分；任何整数都可以看作一个分数。
（2）单个分数可以运算，包括求倒数、求相反数、扩大、缩小等。
（3）两个分数可以运算，包括加减乘除等。

package wcq;

import java.math.BigInteger;

public class Fraction implements Comparable{

private int sign = 0;
private BigInteger numerator = BigInteger.ZERO;    //分数的分子
private BigInteger denominator = BigInteger.ZERO;  //分数的分母
public static final Fraction ZERO = new Fraction(0,1);
public static final Fraction ONE = new Fraction(1,1);
public static final Fraction NEGATIVE_INFINITY = new Fraction(-1,0);
public static final Fraction POSITIVE_INFINITY = new Fraction(1,0);
public static final Fraction NAN = new Fraction(0,0);public Fraction(BigInteger numerator,BigInteger denominator) {if( numerator.compareTo(BigInteger.ZERO)==-1 && denominator.compareTo(BigInteger.ZERO)==-1) {this.sign = 1;}else if( numerator.compareTo(BigInteger.ZERO)==1 && denominator.compareTo(BigInteger.ZERO)==1) {this.sign = 1;}else if( numerator.compareTo(BigInteger.ZERO)==0 && denominator.compareTo(BigInteger.ZERO)==0) {this.sign = 0;this.numerator = BigInteger.ZERO;this.denominator = BigInteger.ZERO;return;}else if( numerator.compareTo(BigInteger.ZERO)==0 ){this.sign = 0;this.numerator = BigInteger.ZERO;this.denominator = BigInteger.ONE;return;}else if( denominator.compareTo(BigInteger.ZERO)==0 && numerator.compareTo(BigInteger.ZERO)==1 ) {this.sign = 1;this.numerator = BigInteger.ONE;this.denominator = BigInteger.ZERO;return;}else if( denominator.compareTo(BigInteger.ZERO)==0 && numerator.compareTo(BigInteger.ZERO)==-1 ) {this.sign = -1;this.numerator = BigInteger.ONE;this.denominator = BigInteger.ZERO;return;}else {this.sign = -1;}numerator = numerator.abs();denominator = denominator.abs();BigInteger common = numerator.gcd(denominator);this.numerator = numerator.divide(common);this.denominator = denominator.divide(common);}public Fraction(long lNumerator,long lDenominator) {if(lNumerator < 0 && lDenominator < 0) {this.sign = 1;}else if(lNumerator > 0 && lDenominator > 0) {this.sign = 1;}else if(lNumerator == 0 && lDenominator == 0) {this.sign = 0;this.numerator = BigInteger.ZERO;this.denominator = BigInteger.ZERO;return;}else if(lNumerator == 0) {this.sign = 0;this.numerator = BigInteger.ZERO;this.denominator = BigInteger.ONE;return;}else if(lDenominator == 0 && lNumerator > 0) {this.sign = 1;this.numerator = BigInteger.ONE;this.denominator = BigInteger.ZERO;return;}else if(lDenominator == 0 && lNumerator < 0) {this.sign = -1;this.numerator = BigInteger.ONE;this.denominator = BigInteger.ZERO;return;}else {this.sign = -1;}Long lNum = lNumerator;String sNum = lNum.toString();BigInteger bNum = new BigInteger(sNum);bNum = bNum.abs();Long lDen = lDenominator;String sDen = lDen.toString();BigInteger bDen = new BigInteger(sDen);bDen = bDen.abs();BigInteger common = bNum.gcd(bDen);this.numerator = bNum.divide(common);this.denominator = bDen.divide(common);}public Fraction(long integerValue) {if(integerValue < 0) this.sign = -1;else if(integerValue > 0) this.sign = 1;else {this.sign = 0;this.numerator = BigInteger.ZERO;this.denominator = BigInteger.ONE;return;}Long lNum = integerValue;String sNum = lNum.toString();BigInteger bNum = new BigInteger(sNum);bNum = bNum.abs();this.numerator = bNum;this.denominator = BigInteger.ONE;}public int getSign() {return sign;}public BigInteger getNumerator() {return numerator;}public BigInteger getDenominator() {return denominator;}public String toString() {String s = "";if(this.sign == 1) {s = "+";}else if(this.sign == -1) {s = "-";}else if(this.sign == 0 && this.denominator.compareTo(BigInteger.ONE)==0 ) {s = "0/1";return s;}else return s;   //NANs += this.numerator.toString()+"/"+this.denominator.toString();return s;}public boolean isNaN() {if(this.sign == 0 && this.denominator.compareTo(BigInteger.ZERO)==0 ) {return true;}else return false;}public boolean isZero() {if(this.sign == 0 && this.denominator.compareTo(BigInteger.ONE)==0 ) {return true;}else return false;}public boolean isPositive() {if(this.sign == 1) {return true;}else return false;
}public boolean isNegative() {if(this.sign == -1) {return true;}else return false;
}public boolean isInfinite() {if( this.numerator.compareTo(BigInteger.ONE)==0 && this.denominator.compareTo(BigInteger.ZERO)==0 ) {return true;}else return false;}public Fraction clone() {Fraction frac = new Fraction(1,1);frac.sign = this.sign;frac.numerator = this.numerator;frac.denominator = this.denominator;return frac;}public Fraction abs() {if(this.sign < 0)this.sign = 1;return this;}public Fraction opposite() {Fraction frac = this.clone();frac.sign = 0-this.sign;return frac;}public Fraction reciprocal() {if(this.isZero()) {return Fraction.POSITIVE_INFINITY;}else if(this.isInfinite()) {return Fraction.ZERO;}else {BigInteger temp = this.numerator;this.numerator = this.denominator;this.denominator = temp;return this;}}public int absCompareTo(Fraction that) {Fraction thisone = this.abs();Fraction thatone = that.abs();if(thisone.isNaN()) {thisone = Fraction.ZERO;}if(thatone.isNaN()) {thatone = Fraction.ZERO;}if(thisone.isZero() && thatone.isZero()) {return 0;}else if(thisone.isInfinite() && thatone.isInfinite()) {return 0;}else {if( (thisone.numerator.multiply(thatone.denominator)).compareTo(thatone.numerator.multiply(thisone.denominator)) == 1) {return 1;}else if ( (thisone.numerator.multiply(thatone.denominator)).compareTo(thatone.numerator.multiply(thisone.denominator)) == 0 ) {return 0;}else return -1;}}public int compareTo(Fraction that) {    //实现接口函数if(this.sign == 1 && that.sign == -1 || this.sign == 1 && that.sign == 0) {return 1;}else if(this.sign == -1 && that.sign == 1 || this.sign == 0 && that.sign == 1) {return -1;}else if(this.sign == 1 && that.sign == 1) {return this.absCompareTo(that);}else if(this.sign == -1 && that.sign == -1) {return 0-this.absCompareTo(that);}else {    //this.sign == that.sign == 0return 0;}}private Fraction positiveAdd(Fraction that) {if(this.isInfinite() || that.isInfinite()) {return Fraction.POSITIVE_INFINITY;}else if(this.isZero()) {return that;}else if(that.isZero()) {return this;}else {Fraction frac = new Fraction(1,1);frac.numerator = this.numerator.multiply(that.denominator).add(that.numerator.multiply(this.denominator));frac.denominator = this.denominator.multiply(that.denominator);BigInteger common = frac.numerator.gcd(frac.denominator);frac.numerator = frac.numerator.divide(common);frac.denominator =frac.denominator.divide(common);return frac;}}private Fraction positiveSubtract(Fraction smaller) {if(this.isZero()) {smaller.sign = 0 - smaller.sign;return smaller;}else if(smaller.isZero()) {return this;}else if(this.isInfinite() && smaller.isInfinite()) {return Fraction.ZERO;}else if(this.isInfinite()) {return Fraction.POSITIVE_INFINITY;}else if(smaller.isInfinite()) {return Fraction.NEGATIVE_INFINITY;}else {Fraction frac = new Fraction(1,1);frac.numerator = this.numerator.multiply(smaller.denominator).subtract(smaller.numerator.multiply(this.denominator));if(frac.numerator.compareTo(BigInteger.ZERO)==-1) {frac.sign = -1;}else if(frac.numerator.compareTo(BigInteger.ZERO)==0) {return Fraction.ZERO;}frac.denominator = this.denominator.multiply(smaller.denominator);BigInteger common = frac.numerator.gcd(frac.denominator);frac.numerator = frac.numerator.divide(common);frac.denominator =frac.denominator.divide(common);return frac;}}public Fraction add(Fraction that) {if(this.isInfinite() || that.isInfinite()) {if(this.isInfinite() && that.isInfinite()) {if(this.sign == 1 && that.sign == 1) {return Fraction.POSITIVE_INFINITY;}else if(this.sign == -1 && that.sign == -1) {return Fraction.NEGATIVE_INFINITY;}else {return Fraction.ZERO;}}else if(this.isInfinite()) {return this;}else return that;}else if(this.isZero() || that.isZero()) {if(this.isZero()) {return that;}else {return this;}}else {Fraction frac = new Fraction(1,1);Integer thisISign = this.sign;String thisSSign = thisISign.toString();BigInteger thisBSign = new BigInteger(thisSSign);Integer thatISign = that.sign;String thatSSign = thatISign.toString();BigInteger thatBSign = new BigInteger(thatSSign);frac.numerator = thisBSign.multiply(this.numerator.multiply(that.denominator)).add(thatBSign.multiply(that.numerator.multiply(this.denominator)));if(frac.numerator.compareTo(BigInteger.ZERO)==-1) {frac.sign = -1;frac.numerator = frac.numerator.abs();}else if(frac.numerator.compareTo(BigInteger.ZERO)==0) {return Fraction.ZERO;}frac.denominator = this.denominator.multiply(that.denominator);BigInteger common = frac.numerator.gcd(frac.denominator);frac.numerator = frac.numerator.divide(common);frac.denominator =frac.denominator.divide(common);return frac;}}public Fraction subtract(Fraction that) {if(this.isInfinite() || that.isInfinite()) {if(this.isInfinite() && that.isInfinite()) {if(this.sign == 1 && that.sign == 1) {return Fraction.ZERO;}else if(this.sign == -1 && that.sign == -1) {return Fraction.ZERO;}else if(this.sign == 1 && that.sign == -1){return Fraction.POSITIVE_INFINITY;}else return Fraction.NEGATIVE_INFINITY;}else if(this.isInfinite()) {return this;}else {that.sign = 0 - that.sign;return that;}}else if(this.isZero() || that.isZero()) {if(this.isZero()) {return that;}else {return this;}}else {Fraction frac = new Fraction(1,1);Integer thisISign = this.sign;String thisSSign = thisISign.toString();BigInteger thisBSign = new BigInteger(thisSSign);Integer thatISign = that.sign;String thatSSign = thatISign.toString();BigInteger thatBSign = new BigInteger(thatSSign);frac.numerator = thisBSign.multiply(this.numerator.multiply(that.denominator)).subtract(thisBSign.multiply(that.numerator.multiply(this.denominator)));if(frac.numerator.compareTo(BigInteger.ZERO)==-1) {frac.sign = -1;frac.numerator = frac.numerator.abs();}else if(frac.numerator.compareTo(BigInteger.ZERO)==0) {return Fraction.ZERO;}frac.denominator = this.denominator.multiply(that.denominator);BigInteger common = frac.numerator.gcd(frac.denominator);frac.numerator = frac.numerator.divide(common);frac.denominator =frac.denominator.divide(common);return frac;}}public Fraction multiply(Fraction factor) {if(this.isZero() || factor.isZero()) {return Fraction.ZERO;}else if(this.isInfinite() || factor.isInfinite() ) {if(this.sign == factor.sign) {return Fraction.POSITIVE_INFINITY;}else return Fraction.NEGATIVE_INFINITY;}else {Fraction frac = new Fraction(1,1);frac.numerator = this.numerator.multiply(factor.numerator);if(this.sign != factor.sign) {frac.sign = -1;}frac.denominator = this.denominator.multiply(factor.denominator);BigInteger common = frac.numerator.gcd(frac.denominator);frac.numerator = frac.numerator.divide(common);frac.denominator =frac.denominator.divide(common);return frac;}}public Fraction multiply(long ratio) {if(this.sign == 0) return Fraction.ZERO;if(ratio == 0) {return Fraction.ZERO;}else if(ratio < 0) {this.sign = 0-this.sign;Long lRatio = 0-ratio;String sRatio = lRatio.toString();BigInteger bRatio = new BigInteger(sRatio);this.numerator = this.numerator.multiply(bRatio);BigInteger common = this.numerator.gcd(this.denominator);this.numerator = this.numerator.divide(common);this.denominator = this.denominator.divide(common);}else {Long lRatio = ratio;String sRatio = lRatio.toString();BigInteger bRatio = new BigInteger(sRatio);this.numerator = this.numerator.multiply(bRatio);BigInteger common = this.numerator.gcd(this.denominator);this.numerator = this.numerator.divide(common);this.denominator = this.denominator.divide(common);}return this;}public Fraction divide(Fraction divisor) {divisor = divisor.reciprocal();return this.multiply(divisor);}public Fraction divide(long ratio) {if(this.sign == 0) return Fraction.ZERO;if(ratio == 0) {if(this.sign == 1) return Fraction.POSITIVE_INFINITY;else return Fraction.NEGATIVE_INFINITY;}else if(ratio < 0) {this.sign = 0-this.sign;Long lRatio = 0-ratio;String sRatio = lRatio.toString();BigInteger bRatio = new BigInteger(sRatio);this.denominator = this.denominator.multiply(bRatio);BigInteger common = this.numerator.gcd(this.denominator);this.numerator = this.numerator.divide(common);this.denominator = this.denominator.divide(common);}else {Long lRatio = ratio;String sRatio = lRatio.toString();BigInteger bRatio = new BigInteger(sRatio);this.denominator = this.denominator.multiply(bRatio);BigInteger common = this.numerator.gcd(this.denominator);this.numerator = this.numerator.divide(common);this.denominator = this.denominator.divide(common);}return this;}public static void testSimple() {Fraction sum = ZERO;for (int i=1; i<=100; i++) {int denominator = i * (i+1);Fraction addend = new Fraction(1, denominator);sum = sum.add(addend);}System.out.println(sum);}public static void testComplex() {java.util.ArrayList<Fraction> al = new java.util.ArrayList<Fraction>();int quantity = 2022;for (int i=1; i<=quantity; i++) {int denominator = i * (i+1);Fraction addend = new Fraction(1, denominator);al.add(addend);}for (int i=1; i<=quantity-1; i+=2) {int denominator = i * (i+2);Fraction addend = new Fraction(1, denominator);al.add(addend.opposite());}int size = al.size();Fraction[] fractions = new Fraction[size];al.toArray(fractions);for (int i=0; i<size; i++) {int pos = (int)(Math.random() * size);Fraction temp = fractions[i];fractions[i] = fractions[pos];fractions[pos] = temp;}Fraction sum = Fraction.ZERO;for (int i=0; i<size; i++)sum = sum.add(fractions[i]);System.out.println(sum);
}public static void main(String[] args) {testComplex();}

}
输出结果

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