Class NumberMath

  • Direct Known Subclasses:
    BigDecimalMath, BigIntegerMath, FloatingPointMath, IntegerMath, LongMath

    public abstract class NumberMath
    extends java.lang.Object
    Stateless objects used to perform math on the various Number subclasses. Instances are required so that polymorphic calls work properly, but each subclass creates a singleton instance to minimize garbage. All methods must be thread-safe. The design goals of this class are as follows:
    1. Support a 'least surprising' math model to scripting language users. This means that exact, or decimal math should be used for default calculations. This scheme assumes that by default, groovy literals with decimal points are instantiated as BigDecimal objects rather than binary floating points (Float, Double).
    2. Do not force the appearance of exactness on a number that is by definition not guaranteed to be exact. In particular this means that if an operand in a NumberMath operation is a binary floating point number, ensure that the result remains a binary floating point number (i.e. never automatically promote a binary floating point number to a BigDecimal). This has the effect of preserving the expectations of binary floating point users and helps performance.
    3. Provide an implementation that is as close as practical to the Java 1.5 BigDecimal math model which implements precision based floating point decimal math (ANSI X3.274-1996 and ANSI X3.274-1996/AM 1-2000 (section 7.4).
    • Constructor Summary

      Constructors 
      Constructor Description
      NumberMath()  
    • Method Summary

      All Methods Static Methods Instance Methods Abstract Methods Concrete Methods 
      Modifier and Type Method Description
      static java.lang.Number abs​(java.lang.Number number)  
      protected abstract java.lang.Number absImpl​(java.lang.Number number)  
      static java.lang.Number add​(java.lang.Number left, java.lang.Number right)  
      abstract java.lang.Number addImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number and​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.Number andImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number bitwiseNegate​(java.lang.Number left)  
      protected java.lang.Number bitwiseNegateImpl​(java.lang.Number left)  
      static int compareTo​(java.lang.Number left, java.lang.Number right)  
      abstract int compareToImpl​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.UnsupportedOperationException createUnsupportedException​(java.lang.String operation, java.lang.Number left)  
      static java.lang.Number divide​(java.lang.Number left, java.lang.Number right)  
      abstract java.lang.Number divideImpl​(java.lang.Number left, java.lang.Number right)  
      static NumberMath getMath​(java.lang.Number left, java.lang.Number right)
      Determine which NumberMath instance to use, given the supplied operands.
      static java.lang.Number intdiv​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.Number intdivImpl​(java.lang.Number left, java.lang.Number right)  
      static boolean isBigDecimal​(java.lang.Number number)  
      static boolean isBigInteger​(java.lang.Number number)  
      static boolean isByte​(java.lang.Number number)  
      static boolean isFloatingPoint​(java.lang.Number number)  
      static boolean isInteger​(java.lang.Number number)  
      static boolean isLong​(java.lang.Number number)  
      static boolean isShort​(java.lang.Number number)  
      static java.lang.Number leftShift​(java.lang.Number left, java.lang.Number right)
      For this operation, consider the operands independently.
      protected java.lang.Number leftShiftImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number mod​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.Number modImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number multiply​(java.lang.Number left, java.lang.Number right)  
      abstract java.lang.Number multiplyImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number or​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.Number orImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number rightShift​(java.lang.Number left, java.lang.Number right)
      For this operation, consider the operands independently.
      protected java.lang.Number rightShiftImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number rightShiftUnsigned​(java.lang.Number left, java.lang.Number right)
      For this operation, consider the operands independently.
      protected java.lang.Number rightShiftUnsignedImpl​(java.lang.Number left, java.lang.Number right)  
      static java.lang.Number subtract​(java.lang.Number left, java.lang.Number right)  
      abstract java.lang.Number subtractImpl​(java.lang.Number left, java.lang.Number right)  
      static java.math.BigDecimal toBigDecimal​(java.lang.Number n)  
      static java.math.BigInteger toBigInteger​(java.lang.Number n)  
      static java.lang.Number unaryMinus​(java.lang.Number left)  
      protected abstract java.lang.Number unaryMinusImpl​(java.lang.Number left)  
      static java.lang.Number unaryPlus​(java.lang.Number left)  
      protected abstract java.lang.Number unaryPlusImpl​(java.lang.Number left)  
      static java.lang.Number xor​(java.lang.Number left, java.lang.Number right)  
      protected java.lang.Number xorImpl​(java.lang.Number left, java.lang.Number right)  
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
    • Constructor Detail

      • NumberMath

        public NumberMath()
    • Method Detail

      • abs

        public static java.lang.Number abs​(java.lang.Number number)
      • add

        public static java.lang.Number add​(java.lang.Number left,
                                           java.lang.Number right)
      • subtract

        public static java.lang.Number subtract​(java.lang.Number left,
                                                java.lang.Number right)
      • multiply

        public static java.lang.Number multiply​(java.lang.Number left,
                                                java.lang.Number right)
      • divide

        public static java.lang.Number divide​(java.lang.Number left,
                                              java.lang.Number right)
      • compareTo

        public static int compareTo​(java.lang.Number left,
                                    java.lang.Number right)
      • or

        public static java.lang.Number or​(java.lang.Number left,
                                          java.lang.Number right)
      • and

        public static java.lang.Number and​(java.lang.Number left,
                                           java.lang.Number right)
      • xor

        public static java.lang.Number xor​(java.lang.Number left,
                                           java.lang.Number right)
      • intdiv

        public static java.lang.Number intdiv​(java.lang.Number left,
                                              java.lang.Number right)
      • mod

        public static java.lang.Number mod​(java.lang.Number left,
                                           java.lang.Number right)
      • leftShift

        public static java.lang.Number leftShift​(java.lang.Number left,
                                                 java.lang.Number right)
        For this operation, consider the operands independently. Throw an exception if the right operand (shift distance) is not an integral type. For the left operand (shift value) also require an integral type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the shift operators.
      • rightShift

        public static java.lang.Number rightShift​(java.lang.Number left,
                                                  java.lang.Number right)
        For this operation, consider the operands independently. Throw an exception if the right operand (shift distance) is not an integral type. For the left operand (shift value) also require an integral type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the shift operators.
      • rightShiftUnsigned

        public static java.lang.Number rightShiftUnsigned​(java.lang.Number left,
                                                          java.lang.Number right)
        For this operation, consider the operands independently. Throw an exception if the right operand (shift distance) is not an integral type. For the left operand (shift value) also require an integral type, but do NOT promote from Integer to Long. This is consistent with Java, and makes sense for the shift operators.
      • bitwiseNegate

        public static java.lang.Number bitwiseNegate​(java.lang.Number left)
      • unaryMinus

        public static java.lang.Number unaryMinus​(java.lang.Number left)
      • unaryPlus

        public static java.lang.Number unaryPlus​(java.lang.Number left)
      • isFloatingPoint

        public static boolean isFloatingPoint​(java.lang.Number number)
      • isInteger

        public static boolean isInteger​(java.lang.Number number)
      • isShort

        public static boolean isShort​(java.lang.Number number)
      • isByte

        public static boolean isByte​(java.lang.Number number)
      • isLong

        public static boolean isLong​(java.lang.Number number)
      • isBigDecimal

        public static boolean isBigDecimal​(java.lang.Number number)
      • isBigInteger

        public static boolean isBigInteger​(java.lang.Number number)
      • toBigDecimal

        public static java.math.BigDecimal toBigDecimal​(java.lang.Number n)
      • toBigInteger

        public static java.math.BigInteger toBigInteger​(java.lang.Number n)
      • getMath

        public static NumberMath getMath​(java.lang.Number left,
                                         java.lang.Number right)
        Determine which NumberMath instance to use, given the supplied operands. This method implements the type promotion rules discussed in the documentation. Note that by the time this method is called, any Byte, Character or Short operands will have been promoted to Integer. For reference, here is the promotion matrix: bD bI D F L I bD bD bD D D bD bD bI bD bI D D bI bI D D D D D D D F D D D D D D L bD bI D D L L I bD bI D D L I Note that for division, if either operand isFloatingPoint, the result will be floating. Otherwise, the result is BigDecimal
      • absImpl

        protected abstract java.lang.Number absImpl​(java.lang.Number number)
      • addImpl

        public abstract java.lang.Number addImpl​(java.lang.Number left,
                                                 java.lang.Number right)
      • subtractImpl

        public abstract java.lang.Number subtractImpl​(java.lang.Number left,
                                                      java.lang.Number right)
      • multiplyImpl

        public abstract java.lang.Number multiplyImpl​(java.lang.Number left,
                                                      java.lang.Number right)
      • divideImpl

        public abstract java.lang.Number divideImpl​(java.lang.Number left,
                                                    java.lang.Number right)
      • compareToImpl

        public abstract int compareToImpl​(java.lang.Number left,
                                          java.lang.Number right)
      • unaryMinusImpl

        protected abstract java.lang.Number unaryMinusImpl​(java.lang.Number left)
      • unaryPlusImpl

        protected abstract java.lang.Number unaryPlusImpl​(java.lang.Number left)
      • bitwiseNegateImpl

        protected java.lang.Number bitwiseNegateImpl​(java.lang.Number left)
      • orImpl

        protected java.lang.Number orImpl​(java.lang.Number left,
                                          java.lang.Number right)
      • andImpl

        protected java.lang.Number andImpl​(java.lang.Number left,
                                           java.lang.Number right)
      • xorImpl

        protected java.lang.Number xorImpl​(java.lang.Number left,
                                           java.lang.Number right)
      • modImpl

        protected java.lang.Number modImpl​(java.lang.Number left,
                                           java.lang.Number right)
      • intdivImpl

        protected java.lang.Number intdivImpl​(java.lang.Number left,
                                              java.lang.Number right)
      • leftShiftImpl

        protected java.lang.Number leftShiftImpl​(java.lang.Number left,
                                                 java.lang.Number right)
      • rightShiftImpl

        protected java.lang.Number rightShiftImpl​(java.lang.Number left,
                                                  java.lang.Number right)
      • rightShiftUnsignedImpl

        protected java.lang.Number rightShiftUnsignedImpl​(java.lang.Number left,
                                                          java.lang.Number right)
      • createUnsupportedException

        protected java.lang.UnsupportedOperationException createUnsupportedException​(java.lang.String operation,
                                                                                     java.lang.Number left)