📄 pi.java
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import java.math.*;
public class PI implements Task{
private static final BigDecimal ZERO = BigDecimal.valueOf(0);
private static final BigDecimal ONE = BigDecimal.valueOf(1);
private static final BigDecimal FOUR = BigDecimal.valueOf(4);
private static final roundingMode = BigDecimal.ROUND_HALF_EVEN;
private int digits;
public PI(int digits){
this.digits = digits;
}
public Object execute(){
return computePI(digits);
}
public static BigDecimal computePI(int digits){
int scale = digits + 5;
BigDecimal arctan1_5 = arctan(5, scale);
BigDecimal arctan1_239 = arctan(239, scale);
BigDecimal pi = arctan1_5.multiply(FOUR).subtract(arctan1_239).multiply(FOUR);
return pi.setScale(digits, BigDecimal.ROUND_HALF_UP);
}
public static BigDecimal arctan(int inverseX, int scale){
BigDecimal result,numer,term;
BigDecimal invX = BigDecimal.valueOf(inverseX);
BigDecimal invX2 = BigDecimal.valueOf(inverseX * inverseX);
numer = ONE.divide(invX, scale, roundingMode);
result = numer;
int i = 1;
do{
numer = numer.divide(invX2,scale,roundingMode);
int denom = 2 * i + 1;
term = numer.divide(BigDecimal.valueOf(denom),scale,roundingMode);
if((i % 2) != 0){
result = result.subtract(term);
}else{
result = result.add(term);
}
i++;
}while(term.compareTo(ZERO) != 0)
return result;
}
}
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