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categorical.scala
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/
categorical.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 algebra.ring.Rig
import cats.Applicative
import cats.Reducible
import cats.syntax.all.*
import schrodinger.kernel.Categorical
object categorical:
given [F[_]: Applicative, G[_]: Reducible, A](using
A: Rig[A],
): Categorical[Density[F, A, _], G[A], Long] with
def categorical(support: G[A]) =
Density(support.get(_).getOrElse(A.zero).pure)