Algebraic

Value Members

1. final def !=(arg0: Any): Boolean

   

   Definition Classes

   AnyRef → Any

2. final def ##(): Int

   

   Definition Classes

   AnyRef → Any

3. def %(that: Algebraic): Algebraic

   

   An alias for mod.

4. def *(that: Algebraic): Algebraic

   

5. def +(that: Algebraic): Algebraic

   

6. def -(that: Algebraic): Algebraic

   

7. def /(that: Algebraic): Algebraic

   

8. def /~(that: Algebraic): Algebraic

   

   An alias for quot.

9. def <(that: Algebraic): Boolean

   

10. def <=(that: Algebraic): Boolean

    

11. def =!=(that: Algebraic): Boolean

    

12. final def ==(arg0: Any): Boolean

    

    Definition Classes

    AnyRef → Any

13. def ===(that: Algebraic): Boolean

    

14. def >(that: Algebraic): Boolean

    

15. def >=(that: Algebraic): Boolean

    

16. def abs: Algebraic

    

    Return a non-negative Algebraic with the same magnitude as this one.

17. final def asInstanceOf[T0]: T0

    

    Definition Classes

    Any

18. def byteValue(): Byte

    

    Definition Classes

    Number

19. def cbrt: Algebraic

    

    Returns the cube root of this number.

20. def clone(): AnyRef

    

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

21. def compare(that: Algebraic): Int

    

    Returns an integer with the same sign as this - that.

    Returns an integer with the same sign as this - that. Specifically, if this < that, then the sign is negative, if this > that, then the sign is positive, otherwise this == that and this returns 0.

22. def doubleValue(): Double

    

    Returns a Double that approximates this value.

    Returns a Double that approximates this value. If the exponent is too large to fit in a double, the Double.PositiveInfinity or Double.NegativeInfinity is returned.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions → Number

23. final def eq(arg0: AnyRef): Boolean

    

    Definition Classes

    AnyRef

24. def equals(that: Any): Boolean

    

    Definition Classes

    Algebraic → AnyRef → Any

25. def evaluateWith[A](implicit arg0: Field[A], arg1: NRoot[A], arg2: RootFinder[A], arg3: Eq[A], arg4: ClassTag[A], conv: ConvertableTo[A]): A

    

    Evaluates this algebraic expression with a different number type.

    Evaluates this algebraic expression with a different number type. All Algebraic numbers store the entire expression tree, so we can use this to *replay* the stored expression using a different type. This will accumulate errors as if the number type had been used from the beginning and is only really suitable for more exact number types, like Real.

    TODO: Eq/ClassTag come from poly.map - would love to get rid of them.

26. val expr: Expr

    

27. def finalize(): Unit

    

    Attributes

    protected[java.lang]

    Definition Classes

    AnyRef

    Annotations

    @throws( classOf[java.lang.Throwable] )

28. def floatValue(): Float

    

    Returns a Float that approximates this value.

    Returns a Float that approximates this value. If the exponent is too large to fit in a float, the Float.PositiveInfinity or Float.NegativeInfinity is returned.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions → Number

29. final def getClass(): Class[_]

    

    Definition Classes

    AnyRef → Any

30. def hashCode(): Int

    

    Definition Classes

    Algebraic → AnyRef → Any

31. def intValue(): Int

    

    Returns the nearest, valid Int value to this Algebraic, without going further away from 0 (eg.

    Returns the nearest, valid Int value to this Algebraic, without going further away from 0 (eg. truncation).

    If this Algebraic represented 1.2, then this would return 1. If this represented -3.3, then this would return -3. If this value is greater than Int.MaxValue, then Int.MaxValue is returned. If this value is less than Int.MinValue, then Int.MinValue is returned.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions → Number

32. final def isInstanceOf[T0]: Boolean

    

    Definition Classes

    Any

33. def isRational: Boolean

    

    Returns true iff this is a rational expression (ie contains no n-root expressions).

    Returns true iff this is a rational expression (ie contains no n-root expressions). Otherwise it is a radical expression and returns false.

34. def isValidByte: Boolean

    

    Definition Classes

    ScalaNumericAnyConversions

35. def isValidChar: Boolean

    

    Definition Classes

    ScalaNumericAnyConversions

36. def isValidInt: Boolean

    

    Returns true if this Algebraic number is a whole number (no fractional part) and fits within the bounds of an Int.

    Returns true if this Algebraic number is a whole number (no fractional part) and fits within the bounds of an Int. That is, if x.isValidInt, then Algebraic(x.toInt) == x.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions

37. def isValidLong: Boolean

    

    Returns true if this Algebraic number is a whole number (no fractional part) and fits within the bounds of an Long.

    Returns true if this Algebraic number is a whole number (no fractional part) and fits within the bounds of an Long. That is, if x.isValidLong, then Algebraic(x.toLong) == x.

38. def isValidShort: Boolean

    

    Definition Classes

    ScalaNumericAnyConversions

39. def isWhole(): Boolean

    

    Returns true iff this Algebraic exactly represents a valid BigInt.

    Returns true iff this Algebraic exactly represents a valid BigInt.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions → ScalaNumber

40. def isZero: Boolean

    

    Returns true iff this Algebraic number is exactly 0.

41. def longValue(): Long

    

    Returns the nearest, valid Long value to this Algebraic, without going further away from 0 (eg.

    Returns the nearest, valid Long value to this Algebraic, without going further away from 0 (eg. truncation).

    If this Algebraic represented 1.2, then this would return 1. If this represented -3.3, then this would return -3. If this value is greater than Long.MaxValue, then Long.MaxValue is returned. If this value is less than Long.MinValue, then Long.MinValue is returned.

    Definition Classes

    Algebraic → ScalaNumericAnyConversions → Number

42. def mod(that: Algebraic): Algebraic

    

    Returns an Algebraic whose value is the difference between this and (this /~ that) * that -- the modulus.

43. final def ne(arg0: AnyRef): Boolean

    

    Definition Classes

    AnyRef

44. final def notify(): Unit

    

    Definition Classes

    AnyRef

45. final def notifyAll(): Unit

    

    Definition Classes

    AnyRef

46. def nroot(k: Int): Algebraic

    

    Returns the k-th root of this number.

47. def pow(k: Int): Algebraic

    

    Raise this number to the k-th power.

48. def quot(that: Algebraic): Algebraic

    

    Returns an Algebraic whose value is just the integer part of this / that.

    Returns an Algebraic whose value is just the integer part of this / that. This operation is exact.

49. def shortValue(): Short

    

    Definition Classes

    Number

50. def sign: Sign

    

    Returns the sign of this Algebraic number.

    Returns the sign of this Algebraic number. Algebraic numbers support exact sign tests, so this is guaranteed to be accurate.

51. def signum: Int

    

    Returns an Int with the same sign as this algebraic number.

    Returns an Int with the same sign as this algebraic number. Algebraic numbers support exact sign tests, so this is guaranteed to be accurate.

52. def sqrt: Algebraic

    

    Returns the square root of this number.

53. final def synchronized[T0](arg0: ⇒ T0): T0

    

    Definition Classes

    AnyRef

54. def toBigDecimal(mc: MathContext): BigDecimal

    

    Relative approximation to the precision specified in mc with the given rounding mode.

    Relative approximation to the precision specified in mc with the given rounding mode. Rounding is always exact. The sign is always correct; the sign of the returned BigDecimal matches the sign of the exact value this Algebraic represents.

    mc

    the precision and rounding mode of the final result

    returns

    an approximation to the value of this algebraic number

55. def toBigDecimal(scale: Int, roundingMode: RoundingMode): BigDecimal

    

    Absolute approximation to scale decimal places with the given rounding mode.

    Absolute approximation to scale decimal places with the given rounding mode. Rounding is always exact.

56. def toBigInt: BigInt

    

    Returns the nearest, valid BigInt value to this Algebraic, without going further away from 0 (eg.

    Returns the nearest, valid BigInt value to this Algebraic, without going further away from 0 (eg. truncation).

    If this Algebraic represented 1.2, then this would return 1. If this represented -3.3, then this would return -3.

57. def toByte: Byte

    

    Definition Classes

    ScalaNumericAnyConversions

58. def toChar: Char

    

    Definition Classes

    ScalaNumericAnyConversions

59. def toDouble: Double

    

    Definition Classes

    ScalaNumericAnyConversions

60. def toExprString: String

    

61. def toFloat: Float

    

    Definition Classes

    ScalaNumericAnyConversions

62. def toInt: Int

    

    Definition Classes

    ScalaNumericAnyConversions

63. def toLong: Long

    

    Definition Classes

    ScalaNumericAnyConversions

64. def toRational: Option[Rational]

    

    If this is a rational expressions, then it returns the exact value as a Rational.

    If this is a rational expressions, then it returns the exact value as a Rational. Otherwise, this is a radical expression and None is returned.

65. def toReal: Real

    

    Returns an exact Real representation of this number.

66. def toShort: Short

    

    Definition Classes

    ScalaNumericAnyConversions

67. def toString(): String

    

    Definition Classes

    Algebraic → AnyRef → Any

68. def unary_-: Algebraic

    

69. def underlying(): AnyRef

    

    Definition Classes

    Algebraic → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber

70. def unifiedPrimitiveEquals(x: Any): Boolean

    

    Attributes

    protected

    Definition Classes

    ScalaNumericAnyConversions

71. def unifiedPrimitiveHashcode(): Int

    

    Attributes

    protected

    Definition Classes

    ScalaNumericAnyConversions

72. final def wait(): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

73. final def wait(arg0: Long, arg1: Int): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )

74. final def wait(arg0: Long): Unit

    

    Definition Classes

    AnyRef

    Annotations

    @throws( ... )