Package: org.codehaus.groovy.runtime.typehandling

## [Java] Class NumberMath

- org.codehaus.groovy.runtime.typehandling.NumberMath

-     public abstract class NumberMath
      extends 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).

- - ### Methods Summary

    Methods
    Type Params | Return Type | Name and description
    --- | --- | ---
    `` | `public static Number` | `abs(Number number)`
    `` | `protected abstract Number` | `absImpl(Number number)`
    `` | `public static Number` | `add(Number left, Number right)`
    `` | `public abstract Number` | `addImpl(Number left, Number right)`
    `` | `public static Number` | `and(Number left, Number right)`
    `` | `protected Number` | `andImpl(Number left, Number right)`
    `` | `public static Number` | `bitwiseNegate(Number left)`
    `` | `protected Number` | `bitwiseNegateImpl(Number left)`
    `` | `public static int` | `compareTo(Number left, Number right)`
    `` | `public abstract int` | `compareToImpl(Number left, Number right)`
    `` | `protected UnsupportedOperationException` | `createUnsupportedException(String operation, Number left)`
    `` | `public static Number` | `divide(Number left, Number right)`
    `` | `public abstract Number` | `divideImpl(Number left, Number right)`
    `` | `public static NumberMath` | `getMath(Number left, Number right)` Determine which NumberMath instance to use, given the supplied operands.
    `` | `public static Number` | `intdiv(Number left, Number right)`
    `` | `protected Number` | `intdivImpl(Number left, Number right)`
    `` | `public static boolean` | `isBigDecimal(Number number)`
    `` | `public static boolean` | `isBigInteger(Number number)`
    `` | `public static boolean` | `isByte(Number number)`
    `` | `public static boolean` | `isFloatingPoint(Number number)`
    `` | `public static boolean` | `isInteger(Number number)`
    `` | `public static boolean` | `isLong(Number number)`
    `` | `public static boolean` | `isShort(Number number)`
    `` | `public static Number` | `leftShift(Number left, Number right)` For this operation, consider the operands independently.
    `` | `protected Number` | `leftShiftImpl(Number left, Number right)`
    `` | `public static Number` | `mod(Number left, Number right)`
    `` | `protected Number` | `modImpl(Number left, Number right)`
    `` | `public static Number` | `multiply(Number left, Number right)`
    `` | `public abstract Number` | `multiplyImpl(Number left, Number right)`
    `` | `public static Number` | `or(Number left, Number right)`
    `` | `protected Number` | `orImpl(Number left, Number right)`
    `` | `public static Number` | `remainder(Number left, Number right)`
    `` | `protected Number` | `remainderImpl(Number left, Number right)`
    `` | `public static Number` | `rightShift(Number left, Number right)` For this operation, consider the operands independently.
    `` | `protected Number` | `rightShiftImpl(Number left, Number right)`
    `` | `public static Number` | `rightShiftUnsigned(Number left, Number right)` For this operation, consider the operands independently.
    `` | `protected Number` | `rightShiftUnsignedImpl(Number left, Number right)`
    `` | `public static Number` | `subtract(Number left, Number right)`
    `` | `public abstract Number` | `subtractImpl(Number left, Number right)`
    `` | `public static BigDecimal` | `toBigDecimal(Number n)`
    `` | `public static BigInteger` | `toBigInteger(Number n)`
    `` | `public static Number` | `unaryMinus(Number left)`
    `` | `protected abstract Number` | `unaryMinusImpl(Number left)`
    `` | `public static Number` | `unaryPlus(Number left)`
    `` | `protected abstract Number` | `unaryPlusImpl(Number left)`
    `` | `public static Number` | `xor(Number left, Number right)`
    `` | `protected Number` | `xorImpl(Number left, Number right)`

  - ### Inherited Methods Summary

    Inherited Methods
    Methods inherited from class | Name
    --- | ---
    `class Object` | `wait, wait, wait, equals, toString, hashCode, getClass, notify, notifyAll`

- - ### Method Detail

    - #### public static Number abs(Number number)

    - #### protected abstract Number absImpl(Number number)

    - #### public static Number add(Number left, Number right)

    - #### public abstract Number addImpl(Number left, Number right)

    - #### public static Number and(Number left, Number right)

    - #### protected Number andImpl(Number left, Number right)

    - #### public static Number bitwiseNegate(Number left)

    - #### protected Number bitwiseNegateImpl(Number left)

    - #### public static int compareTo(Number left, Number right)

    - #### public abstract int compareToImpl(Number left, Number right)

    - #### protected UnsupportedOperationException createUnsupportedException(String operation, Number left)

    - #### public static Number divide(Number left, Number right)

    - #### public abstract Number divideImpl(Number left, Number right)

    - #### public static NumberMath getMath(Number left, 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

    - #### public static Number intdiv(Number left, Number right)

    - #### protected Number intdivImpl(Number left, Number right)

    - #### public static boolean isBigDecimal(Number number)

    - #### public static boolean isBigInteger(Number number)

    - #### public static boolean isByte(Number number)

    - #### public static boolean isFloatingPoint(Number number)

    - #### public static boolean isInteger(Number number)

    - #### public static boolean isLong(Number number)

    - #### public static boolean isShort(Number number)

    - #### public static Number leftShift(Number left, 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.

    - #### protected Number leftShiftImpl(Number left, Number right)

    - #### public static Number mod(Number left, Number right)

    - #### protected Number modImpl(Number left, Number right)

    - #### public static Number multiply(Number left, Number right)

    - #### public abstract Number multiplyImpl(Number left, Number right)

    - #### public static Number or(Number left, Number right)

    - #### protected Number orImpl(Number left, Number right)

    - #### public static Number remainder(Number left, Number right)

    - #### protected Number remainderImpl(Number left, Number right)

    - #### public static Number rightShift(Number left, 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.

    - #### protected Number rightShiftImpl(Number left, Number right)

    - #### public static Number rightShiftUnsigned(Number left, 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.

    - #### protected Number rightShiftUnsignedImpl(Number left, Number right)

    - #### public static Number subtract(Number left, Number right)

    - #### public abstract Number subtractImpl(Number left, Number right)

    - #### public static BigDecimal toBigDecimal(Number n)

    - #### public static BigInteger toBigInteger(Number n)

    - #### public static Number unaryMinus(Number left)

    - #### protected abstract Number unaryMinusImpl(Number left)

    - #### public static Number unaryPlus(Number left)

    - #### protected abstract Number unaryPlusImpl(Number left)

    - #### public static Number xor(Number left, Number right)

    - #### protected Number xorImpl(Number left, Number right)