operator+,-,*,/,%,&,|,^,<<,>>,&&,|| (std::valarray)

 

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Numerics library

Common mathematical functions
Mathematical special functions (C++17)
Mathematical constants (C++20)
Basic linear algebra algorithms (C++26)
Floating-point environment (C++11)
Complex numbers
Numeric array (valarray)
Pseudo-random number generation
Factor operations
gcd (C++17)	lcm (C++17)
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midpoint (C++20)	lerp (C++20)
Saturation arithmetic
add_sat (C++26) sub_sat (C++26) saturate_cast (C++26)	mul_sat (C++26) div_sat (C++26)
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iota (C++11) ranges::iota (C++23) accumulate inner_product adjacent_difference partial_sum	reduce (C++17) transform_reduce (C++17) inclusive_scan (C++17) exclusive_scan (C++17) transform_inclusive_scan (C++17) transform_exclusive_scan (C++17)
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has_single_bit (C++20)     bit_cast (C++20) bit_ceil (C++20) bit_floor (C++20) bit_width (C++20) rotl (C++20) rotr (C++20)	popcount (C++20) countl_zero (C++20) countl_one (C++20) countr_zero (C++20) countr_one (C++20) byteswap (C++23) endian (C++20)

 

std::valarray

Member functions
valarray::valarray valarray::~valarray valarray::operator= valarray::operator[] valarray::swap valarray::size valarray::resize valarray::sum valarray::min valarray::max valarray::shift valarray::cshift valarray::apply	valarray::operator+valarray::operator-valarray::operator~valarray::operator! valarray::operator+=valarray::operator-=valarray::operator*=valarray::operator/=valarray::operator%=valarray::operator&=valarray::operator|=valarray::operator^=valarray::operator<<=valarray::operator>>=
Non-member functions
swap(std::valarray) (C++11) begin(std::valarray) (C++11)   end(std::valarray) (C++11) abs exp log log10 pow sqrt sin cos tan asin acos atan atan2 sinh cosh tanh	operator*operator/operator%operator+operator-operator^operator&operator|operator<<operator>>operator&&operator|| operator==operator!=operator<operator>operator<=operator>=
Helper classes
slice_array gslice_array indirect_array	slice gslice mask_array
Deduction guides (C++17)

 

Defined in header <valarray>
template< class T > std::valarray<T> operator+ ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator- ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator* ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator/ ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator% ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator& ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator| ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator^ ( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator<<( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator>>( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<bool> operator&&( const std::valarray<T>& lhs, const std::valarray<T>& rhs ); template< class T > std::valarray<bool> operator||( const std::valarray<T>& lhs, const std::valarray<T>& rhs );	(1)
template< class T > std::valarray<T> operator+ ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator- ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator* ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator/ ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator% ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator& ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator| ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator^ ( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator<<( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<T> operator>>( const typename std::valarray<T>::value_type & val,                              const std::valarray<T>& rhs ); template< class T > std::valarray<bool> operator&&( const typename std::valarray<T>::value_type & val,                                 const std::valarray<T>& rhs ); template< class T > std::valarray<bool> operator||( const typename std::valarray<T>::value_type & val,                                 const std::valarray<T>& rhs );	(2)
template< class T > std::valarray<T> operator+ ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator- ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator* ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator/ ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator% ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator& ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator| ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator^ ( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator<<( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<T> operator>>( const std::valarray<T>& lhs,                              const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<bool> operator&&( const std::valarray<T>& lhs,                                 const typename std::valarray<T>::value_type & val ); template< class T > std::valarray<bool> operator||( const std::valarray<T>& lhs,                                 const typename std::valarray<T>::value_type & val );	(3)

Apply binary operators to each element of two valarrays, or a valarray and a value.

1) The operators works on valarrays of the same size and returns a valarray with the same size as the parameters with the operation applied to every elements of the two arguments.

2,3) Applies the operator between each element of the valarray and the scalar.

Parameters

rhs	-	a numeric array
lhs	-	a numeric array
val	-	a value of type T

Return value

A valarray with the same size as the parameter.

Note

The behaviour is undefined when the two arguments are valarrays with different sizes.

The function can be implemented with the return type different from std::valarray. In this case, the replacement type has the following properties:

• All const member functions of std::valarray are provided.
• std::valarray, std::slice_array, std::gslice_array, std::mask_array and std::indirect_array can be constructed from the replacement type.
• For every function taking a const std::valarray<T>& except begin() and end()(since C++11), identical functions taking the replacement types shall be added;
• For every function taking two const std::valarray<T>& arguments, identical functions taking every combination of const std::valarray<T>& and replacement types shall be added.
• The return type does not add more than two levels of template nesting over the most deeply-nested argument type.

Example

Finds real roots of multiple Quadratic equations.

Run this code

#include <cstddef>
#include <iostream>
#include <valarray>
 
int main()
{
    std::valarray<double> a(1, 8);
    std::valarray<double> b{1, 2, 3, 4, 5, 6, 7, 8};
    std::valarray<double> c = -b;
    // literals must also be of type T until LWG3074 (double in this case)
    std::valarray<double> d = std::sqrt(b * b - 4.0 * a * c);
    std::valarray<double> x1 = 2.0 * c / (-b + d);
    std::valarray<double> x2 = 2.0 * c / (-b - d);
    std::cout << "quadratic equation:  root 1:    root 2:   b: c:\n";
    for (std::size_t i = 0; i < a.size(); ++i)
        std::cout << a[i] << "\u00B7x\u00B2 + " << b[i] << "\u00B7x + "
                  << c[i] << " = 0  " << std::fixed << x1[i]
                  << "  " << x2[i] << std::defaultfloat
                  << "  " << -x1[i] - x2[i]
                  << "  " << x1[i] * x2[i] << '\n';
}

Output:

quadratic equation:  root 1:    root 2:   b: c:
1·x² + 1·x + -1 = 0  -1.618034  0.618034  1  -1
1·x² + 2·x + -2 = 0  -2.732051  0.732051  2  -2
1·x² + 3·x + -3 = 0  -3.791288  0.791288  3  -3
1·x² + 4·x + -4 = 0  -4.828427  0.828427  4  -4
1·x² + 5·x + -5 = 0  -5.854102  0.854102  5  -5
1·x² + 6·x + -6 = 0  -6.872983  0.872983  6  -6
1·x² + 7·x + -7 = 0  -7.887482  0.887482  7  -7
1·x² + 8·x + -8 = 0  -8.898979  0.898979  8  -8

Defect reports

The following behavior-changing defect reports were applied retroactively to previously published C++ standards.

DR	Applied to	Behavior as published	Correct behavior
LWG 3074	C++98	T is deduced from both the scalar and the valarray for (2,3), disallowing mixed-type calls	only deduce T from the valarray

See also

operator+operator-operator~operator!	applies a unary arithmetic operator to each element of the valarray (public member function)
operator+=operator-=operator*=operator/=operator%=operator&=operator|=operator^=operator<<=operator>>=	applies compound assignment operator to each element of the valarray (public member function)