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Ingy döt Net 2023-07-01 11:58:00 -04:00
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Task/Balanced-ternary/Java/balanced-ternary.java Normal file
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/*
* Test case
* With balanced ternaries a from string "+-0++0+", b from native integer -436, c "+-++-":
* Write out a, b and c in decimal notation;
* Calculate a × (b − c), write out the result in both ternary and decimal notations.
*/
public class BalancedTernary
{
public static void main(String[] args)
{
BTernary a=new BTernary("+-0++0+");
BTernary b=new BTernary(-436);
BTernary c=new BTernary("+-++-");
System.out.println("a="+a.intValue());
System.out.println("b="+b.intValue());
System.out.println("c="+c.intValue());
System.out.println();
//result=a*(b-c)
BTernary result=a.mul(b.sub(c));
System.out.println("result= "+result+" "+result.intValue());
}
public static class BTernary
{
String value;
public BTernary(String s)
{
int i=0;
while(s.charAt(i)=='0')
i++;
this.value=s.substring(i);
}
public BTernary(int v)
{
this.value="";
this.value=convertToBT(v);
}
private String convertToBT(int v)
{
if(v<0)
return flip(convertToBT(-v));
if(v==0)
return "";
int rem=mod3(v);
if(rem==0)
return convertToBT(v/3)+"0";
if(rem==1)
return convertToBT(v/3)+"+";
if(rem==2)
return convertToBT((v+1)/3)+"-";
return "You can't see me";
}
private String flip(String s)
{
String flip="";
for(int i=0;i<s.length();i++)
{
if(s.charAt(i)=='+')
flip+='-';
else if(s.charAt(i)=='-')
flip+='+';
else
flip+='0';
}
return flip;
}
private int mod3(int v)
{
if(v>0)
return v%3;
v=v%3;
return (v+3)%3;
}
public int intValue()
{
int sum=0;
String s=this.value;
for(int i=0;i<s.length();i++)
{
char c=s.charAt(s.length()-i-1);
int dig=0;
if(c=='+')
dig=1;
else if(c=='-')
dig=-1;
sum+=dig*Math.pow(3, i);
}
return sum;
}
public BTernary add(BTernary that)
{
String a=this.value;
String b=that.value;
String longer=a.length()>b.length()?a:b;
String shorter=a.length()>b.length()?b:a;
while(shorter.length()<longer.length())
shorter=0+shorter;
a=longer;
b=shorter;
char carry='0';
String sum="";
for(int i=0;i<a.length();i++)
{
int place=a.length()-i-1;
String digisum=addDigits(a.charAt(place),b.charAt(place),carry);
if(digisum.length()!=1)
carry=digisum.charAt(0);
else
carry='0';
sum=digisum.charAt(digisum.length()-1)+sum;
}
sum=carry+sum;
return new BTernary(sum);
}
private String addDigits(char a,char b,char carry)
{
String sum1=addDigits(a,b);
String sum2=addDigits(sum1.charAt(sum1.length()-1),carry);
//System.out.println(carry+" "+sum1+" "+sum2);
if(sum1.length()==1)
return sum2;
if(sum2.length()==1)
return sum1.charAt(0)+sum2;
return sum1.charAt(0)+"";
}
private String addDigits(char a,char b)
{
String sum="";
if(a=='0')
sum=b+"";
else if (b=='0')
sum=a+"";
else if(a=='+')
{
if(b=='+')
sum="+-";
else
sum="0";
}
else
{
if(b=='+')
sum="0";
else
sum="-+";
}
return sum;
}
public BTernary neg()
{
return new BTernary(flip(this.value));
}
public BTernary sub(BTernary that)
{
return this.add(that.neg());
}
public BTernary mul(BTernary that)
{
BTernary one=new BTernary(1);
BTernary zero=new BTernary(0);
BTernary mul=new BTernary(0);
int flipflag=0;
if(that.compareTo(zero)==-1)
{
that=that.neg();
flipflag=1;
}
for(BTernary i=new BTernary(1);i.compareTo(that)<1;i=i.add(one))
mul=mul.add(this);
if(flipflag==1)
mul=mul.neg();
return mul;
}
public boolean equals(BTernary that)
{
return this.value.equals(that.value);
}
public int compareTo(BTernary that)
{
if(this.intValue()>that.intValue())
return 1;
else if(this.equals(that))
return 0;
return -1;
}
public String toString()
{
return value;
}
}
}