Add a binary number type based on the naive number.

src/main/java/org/nwapw/abacus/number/BinaryNumber.java

@@ -0,0 +1,162 @@
+package org.nwapw.abacus.number;
+
+public class BinaryNumber implements NumberInterface{
+
+    /**
+     * The number zero.
+     */
+    public static final BinaryNumber ZERO = new BinaryNumber(0);
+    /**
+     * The number one.
+     */
+    public static final BinaryNumber ONE = new BinaryNumber(1);
+    /**
+     * The value of this number.
+     */
+    private double value;
+
+    /**
+     * Creates a new BinaryNumber with the given string.
+     *
+     * @param value the value, which will be parsed as a double.
+     */
+    public BinaryNumber(String value) {
+        toStandard(value);
+    }
+    /**
+     * 
+     */
+    private void toStandard(String value) {
+        String before;
+        String after = "";
+        if(value.indexOf(".")==-1){
+            before=value;
+        }else{
+            before = value.substring(0,value.indexOf("."));
+            after = value.substring(value.indexOf(".")+1);
+        }
+        double sum = 0;
+        for(int it=0;before.length()>0;it++){
+            if(before.charAt(before.length()-1)=='1'){
+                sum+=Math.pow(2,it);
+            }
+            if(before.length()>1) {
+                before = before.substring(0, before.length()-1);
+            }else{
+                before = "";
+            }
+        }
+        for(int it=-1;after.length()>0;it--) {
+            if (after.charAt(0) == '1') {
+                sum += Math.pow(2, it);
+            }
+            if (after.length() > 1) {
+                after = after.substring(1);
+            } else {
+                after = "";
+            }
+        }
+
+        this.value = sum;
+    }
+    
+    /**
+     * Creates a new BinaryNumber with the given value.
+     *
+     * @param value the value to use.
+     */
+    public BinaryNumber(double value) {
+        toStandard(""+value);
+    }
+
+    @Override
+    public int getMaxPrecision() {
+        return 18;
+    }
+
+    @Override
+    public NumberInterface multiply(NumberInterface multiplier) {
+        return new BinaryNumber(value * ((BinaryNumber) multiplier).value);
+    }
+
+    @Override
+    public NumberInterface divide(NumberInterface divisor) {
+        return new BinaryNumber(value / ((BinaryNumber) divisor).value);
+    }
+
+    @Override
+    public NumberInterface add(NumberInterface summand) {
+        return new BinaryNumber(value + ((BinaryNumber) summand).value);
+    }
+
+    @Override
+    public NumberInterface subtract(NumberInterface subtrahend) {
+        return new BinaryNumber(value - ((BinaryNumber) subtrahend).value);
+    }
+
+    @Override
+    public NumberInterface negate() {
+        return new BinaryNumber(-value);
+    }
+
+    @Override
+    public NumberInterface intPow(int exponent) {
+        if (exponent == 0) {
+            return BinaryNumber.ONE;
+        }
+        boolean takeReciprocal = exponent < 0;
+        exponent = Math.abs(exponent);
+        NumberInterface power = this;
+        for (int currentExponent = 1; currentExponent < exponent; currentExponent++) {
+            power = power.multiply(this);
+        }
+        if (takeReciprocal) {
+            power = BinaryNumber.ONE.divide(power);
+        }
+        return power;
+    }
+
+    @Override
+    public int compareTo(NumberInterface number) {
+        BinaryNumber num = (BinaryNumber) number;
+        return Double.compare(value, num.value);
+    }
+
+    @Override
+    public int signum() {
+        return this.compareTo(ZERO);
+    }
+
+    @Override
+    public NumberInterface promoteTo(Class<? extends NumberInterface> toClass) {
+        if (toClass == this.getClass()) return this;
+        else if (toClass == PreciseNumber.class) {
+            return new PreciseNumber(Double.toString(value));
+        }
+        return null;
+    }
+
+    public String toString() {
+        double sum = 0;
+        double tempValue = Math.floor(value);
+        double fraction = value-tempValue;
+        for (int it=0;tempValue > 0;it++) {
+
+            if (tempValue % 2 == 1) {
+                sum+=Math.pow(10,it);
+                tempValue-=1;
+            }
+            tempValue=tempValue/2;
+        }
+        for (int it=0;fraction > 0;it--) {
+
+            if (fraction % 2 >= 1) {
+                sum+=Math.pow(10,it);
+                fraction-=1;
+            }
+            fraction=fraction*2;
+        }
+        double shiftBy = Math.pow(10, 10);
+        return Double.toString(Math.round(sum * shiftBy) / shiftBy);
+    }
+}