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[valarray.binary]
# 29 Numerics library [[numerics]](./#numerics)
## 29.6 Numeric arrays [[numarray]](numarray#valarray.binary)
### 29.6.3 valarray non-member operations [[valarray.nonmembers]](valarray.nonmembers#valarray.binary)
#### 29.6.3.1 Binary operators [valarray.binary]
[🔗](#lib:operator*,valarray)
`template<class T> valarray<T> operator* (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator/ (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator% (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator+ (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator- (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator^ (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator& (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator| (const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator<<(const valarray<T>&, const valarray<T>&);
template<class T> valarray<T> operator>>(const valarray<T>&, const valarray<T>&);
`
[1](#1)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L8119)
*Mandates*: The indicated operator can be applied to operands of type T and returns
a value of type T or which can be unambiguously
implicitly converted to T[.](#1.sentence-1)
[2](#2)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L8125)
*Preconditions*: The argument arrays have the same length[.](#2.sentence-1)
[3](#3)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L8129)
*Returns*: A valarray whose length is equal to the
lengths of the argument arrays[.](#3.sentence-1)
Each element of the returned array is
initialized with the result of applying the indicated operator to the
corresponding elements of the argument arrays[.](#3.sentence-2)
[🔗](#lib:operator*,valarray_)
`template<class T> valarray<T> operator* (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator* (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator/ (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator/ (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator% (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator% (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator+ (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator+ (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator- (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator- (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator^ (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator^ (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator& (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator& (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator| (const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator| (const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator<<(const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator<<(const typename valarray<T>::value_type&,
const valarray<T>&);
template<class T> valarray<T> operator>>(const valarray<T>&,
const typename valarray<T>::value_type&);
template<class T> valarray<T> operator>>(const typename valarray<T>::value_type&,
const valarray<T>&);
`
[4](#4)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L8192)
*Mandates*: The indicated operator can be applied to operands of type T and returns
a value of type T or which can be unambiguously
implicitly converted to T[.](#4.sentence-1)
[5](#5)
[#](http://github.com/Eelis/draft/tree/9adde4bc1c62ec234483e63ea3b70a59724c745a/source/numerics.tex#L8198)
*Returns*: A valarray whose length is equal to the
length of the array argument[.](#5.sentence-1)
Each element of the returned array is
initialized with the result of applying the indicated operator to the
corresponding element of the array argument and the non-array argument[.](#5.sentence-2)