breeze.math.Semiring.scala Maven / Gradle / Ivy
package breeze.math
/*
Copyright 2012 David Hall
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at
http://www.apache.org/licenses/LICENSE-2.0
Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
*/
/**
*
* @author dlwh
*/
trait Semiring[@specialized(Int,Short,Long,Float,Double) V] extends Serializable {
def zero : V
def one : V
def +(a : V, b : V) : V
def *(a : V, b : V) : V
def ==(a : V, b : V) : Boolean
def !=(a : V, b : V) : Boolean
def close(a: V, b: V, tolerance: Double=1E-4):Boolean = a == b
}
object Semiring {
import breeze.math.Ring._
implicit val semiringD: Semiring[Double] = ringD
implicit val semiringFloat: Semiring[Float] = ringFloat
implicit val semiringInt: Semiring[Int] = ringInt
implicit val semiringLong: Semiring[Long] = ringLong
implicit val semiringBigInt: Semiring[BigInt] = ringBigInt
implicit val semiringShort: Semiring[Short] = ringShort
implicit val semiringCmplx: Semiring[Complex] = ringComplex
implicit def semiringFromRing[T](implicit ring: Ring[T]): Semiring[T] = ring
@SerialVersionUID(1L)
implicit object fieldB extends Semiring[Boolean] {
def zero = false
def one = true
def ==(a : Boolean, b : Boolean) = a == b
def !=(a : Boolean, b : Boolean) = a != b
def +(a : Boolean, b : Boolean) = a || b
def *(a : Boolean, b : Boolean) = a && b
}
}