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uniform.scala
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uniform.scala
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/*
* Copyright 2021 Arman Bilge
*
* 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.
*/
package schrodinger
package stats
import cats.Applicative
import cats.syntax.all.*
import schrodinger.kernel.Uniform
import schrodinger.math.LogDouble
object uniform:
given [F[_]: Applicative]: Uniform[Density[F, LogDouble, _], Double] with
def uniform01 = uniform(0, 1)
def uniform10 = uniform(1, 0)
def uniform(include: Double, exclude: Double) =
val zero = LogDouble.Zero.pure
val density = LogDouble(Math.abs(exclude - include)).reciprocal.pure
if exclude >= include then
Density(x => if include <= x & x < exclude then density else zero)
else Density(x => if exclude < x & x <= include then density else zero)