cgmath/src/traits/alg/inner_product_space.rs

// Copyright 2013 The OMath Developers. For a full listing of the authors,
// refer to the AUTHORS file at the top-level directory of this distribution.
//
// 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.

use traits::alg::Ring;
use traits::alg::VectorSpace;

/// A vector space with the inner product operation.
pub trait InnerProductSpace<S: Ring>: VectorSpace<S> {
    fn norm(&self) -> S;
    fn inner(&self, other: &Self) -> S;
    fn is_orthogonal(&self, other: &Self) -> bool;
}