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algebra.scala
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algebra.scala
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/*
* Copyright 2022 Erik Erlandson
*
* 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 coulomb.ops.algebra
import scala.annotation.implicitNotFound
// there is no typelevel community typeclass that expresses the concept
// "supports raising to fractional powers, without truncation"
// The closest thing is spire NRoot, but it is also defined on truncating integer types,
// so it is not helpful for distinguishing "pow" from "tpow", and in any case requires spire
// https://github.com/typelevel/spire/issues/741
@implicitNotFound("Fractional power not defined for value type ${V}")
abstract class FractionalPower[V]:
/** returns v^e */
def pow(v: V, e: Double): V
@implicitNotFound("Truncating power not defined for value type ${V}")
abstract class TruncatingPower[V]:
/** returns v^e, truncated to integer value (toward zero) */
def tpow(v: V, e: Double): V