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+ // Copyright 2018 The Rust Project Developers. See the COPYRIGHT
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+ // file at the top-level directory of this distribution and at
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+ // http://rust-lang.org/COPYRIGHT.
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+ //
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+ // Licensed under the Apache License, Version 2.0 <LICENSE-APACHE or
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+ // http://www.apache.org/licenses/LICENSE-2.0> or the MIT license
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+ // <LICENSE-MIT or http://opensource.org/licenses/MIT>, at your
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+ // option. This file may not be copied, modified, or distributed
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+ // except according to those terms.
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+
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+ use std:: ops:: { Mul , MulAssign } ;
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+
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+ pub trait ClosedMul < Right > : Sized + Mul < Right , Output = Self > + MulAssign < Right > { }
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+ impl < T , Right > ClosedMul < Right > for T
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+ where
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+ T : Mul < Right , Output = T > + MulAssign < Right > ,
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+ {
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+ }
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+
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+ pub trait InnerSpace : ClosedMul < <Self as InnerSpace >:: Real > {
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+ type Real ;
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+ }
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+
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+ pub trait FiniteDimVectorSpace : ClosedMul < <Self as FiniteDimVectorSpace >:: Field > {
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+ type Field ;
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+ }
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+
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+ pub trait FiniteDimInnerSpace
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+ : InnerSpace + FiniteDimVectorSpace < Field = <Self as InnerSpace >:: Real > {
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+ }
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+
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+ pub trait EuclideanSpace : ClosedMul < <Self as EuclideanSpace >:: Real > {
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+ type Coordinates : FiniteDimInnerSpace < Real = Self :: Real >
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+ + Mul < Self :: Real , Output = Self :: Coordinates >
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+ + MulAssign < Self :: Real > ;
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+
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+ type Real ;
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+ }
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+
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+ fn main ( ) { }
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