Algebraic

Value Members

final def !=(arg0: Any): Boolean

Definition Classes
AnyRef → Any
final def ##(): Int

Definition Classes
AnyRef → Any
def *(that: Algebraic): Algebraic
def +(that: Algebraic): Algebraic
def -(that: Algebraic): Algebraic
def /(that: Algebraic): Algebraic
def <(that: Algebraic): Boolean
def <=(that: Algebraic): Boolean
def =!=(that: Algebraic): Boolean
final def ==(arg0: Any): Boolean

Definition Classes
AnyRef → Any
def ===(that: Algebraic): Boolean
def >(that: Algebraic): Boolean
def >=(that: Algebraic): Boolean
def abs: Algebraic

Return a non-negative Algebraic with the same magnitude as this one.
final def asInstanceOf[T0]: T0

Definition Classes
Any
def byteValue(): Byte

Definition Classes
Number
def cbrt: Algebraic

Returns the cube root of this number.
def clone(): AnyRef

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( ... )
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.
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
final def eq(arg0: AnyRef): Boolean

Definition Classes
AnyRef
def equals(that: Any): Boolean

Definition Classes
Algebraic → AnyRef → Any
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.
val expr: Expr
def finalize(): Unit

Attributes
protected[java.lang]
Definition Classes
AnyRef
Annotations
@throws( classOf[java.lang.Throwable] )
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
final def getClass(): Class[_]

Definition Classes
AnyRef → Any
def hashCode(): Int

Definition Classes
Algebraic → AnyRef → Any
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
final def isInstanceOf[T0]: Boolean

Definition Classes
Any
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.
def isValidByte: Boolean

Definition Classes
ScalaNumericAnyConversions
def isValidChar: Boolean

Definition Classes
ScalaNumericAnyConversions
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
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.
def isValidShort: Boolean

Definition Classes
ScalaNumericAnyConversions
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
def isZero: Boolean

Returns true iff this Algebraic number is exactly 0.
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
final def ne(arg0: AnyRef): Boolean

Definition Classes
AnyRef
final def notify(): Unit

Definition Classes
AnyRef
final def notifyAll(): Unit

Definition Classes
AnyRef
def nroot(k: Int): Algebraic

Returns the k-th root of this number.
def pow(k: Int): Algebraic

Raise this number to the k-th power.
def shortValue(): Short

Definition Classes
Number
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.
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.
def sqrt: Algebraic

Returns the square root of this number.
final def synchronized[T0](arg0: ⇒ T0): T0

Definition Classes
AnyRef
def tmod(that: Algebraic): Algebraic

Returns an Algebraic whose value is the difference between this and (this /~ that) * that -- the remainder of truncated division.
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
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.
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.
def toByte: Byte

Definition Classes
ScalaNumericAnyConversions
def toChar: Char

Definition Classes
ScalaNumericAnyConversions
def toDouble: Double

Definition Classes
ScalaNumericAnyConversions
def toExprString: String
def toFloat: Float

Definition Classes
ScalaNumericAnyConversions
def toInt: Int

Definition Classes
ScalaNumericAnyConversions
def toLong: Long

Definition Classes
ScalaNumericAnyConversions
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.
def toReal: Real

Returns an exact Real representation of this number.
def toShort: Short

Definition Classes
ScalaNumericAnyConversions
def toString(): String

Definition Classes
Algebraic → AnyRef → Any
def tquot(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.
def unary_-: Algebraic
def underlying(): AnyRef

Definition Classes
Algebraic → ScalaNumericConversions → ScalaNumericAnyConversions → ScalaNumber
def unifiedPrimitiveEquals(x: Any): Boolean

Attributes
protected
Definition Classes
ScalaNumericAnyConversions
def unifiedPrimitiveHashcode(): Int

Attributes
protected
Definition Classes
ScalaNumericAnyConversions
final def wait(): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long, arg1: Int): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )
final def wait(arg0: Long): Unit

Definition Classes
AnyRef
Annotations
@throws( ... )

Related Docs: object Algebraic | package math

final class Algebraic extends ScalaNumber with ScalaNumericConversions with Serializable

Value Members

final def !=(arg0: Any): Boolean

final def ##(): Int

def *(that: Algebraic): Algebraic

def +(that: Algebraic): Algebraic

def -(that: Algebraic): Algebraic

def /(that: Algebraic): Algebraic

def <(that: Algebraic): Boolean

def <=(that: Algebraic): Boolean

def =!=(that: Algebraic): Boolean

final def ==(arg0: Any): Boolean

def ===(that: Algebraic): Boolean

def >(that: Algebraic): Boolean

def >=(that: Algebraic): Boolean

def abs: Algebraic

final def asInstanceOf[T0]: T0

def byteValue(): Byte

def cbrt: Algebraic

def clone(): AnyRef

def compare(that: Algebraic): Int

def doubleValue(): Double

final def eq(arg0: AnyRef): Boolean

def equals(that: Any): Boolean

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

val expr: Expr

def finalize(): Unit

def floatValue(): Float

final def getClass(): Class[_]

def hashCode(): Int

def intValue(): Int

final def isInstanceOf[T0]: Boolean

def isRational: Boolean

def isValidByte: Boolean

def isValidChar: Boolean

def isValidInt: Boolean

def isValidLong: Boolean

def isValidShort: Boolean

def isWhole(): Boolean

def isZero: Boolean

def longValue(): Long

final def ne(arg0: AnyRef): Boolean

final def notify(): Unit

final def notifyAll(): Unit

def nroot(k: Int): Algebraic

def pow(k: Int): Algebraic

def shortValue(): Short

def sign: Sign

def signum: Int

def sqrt: Algebraic

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

def tmod(that: Algebraic): Algebraic

def toBigDecimal(mc: MathContext): BigDecimal

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

def toBigInt: BigInt

def toByte: Byte

def toChar: Char

def toDouble: Double

def toExprString: String

def toFloat: Float

def toInt: Int

def toLong: Long

def toRational: Option[Rational]

def toReal: Real

def toShort: Short

def toString(): String

def tquot(that: Algebraic): Algebraic

def unary_-: Algebraic

def underlying(): AnyRef

def unifiedPrimitiveEquals(x: Any): Boolean

def unifiedPrimitiveHashcode(): Int

final def wait(): Unit

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

final def wait(arg0: Long): Unit

Inherited from Serializable

Inherited from ScalaNumericConversions

Inherited from ScalaNumericAnyConversions

Inherited from ScalaNumber