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Difference between revisions of "cpp/numeric/valarray/log"

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< cpp‎ | numeric‎ | valarray
m (Text replace - "===Equivalent function===" to "===Possible implementation===")
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{{cpp/title|log{{small|(std::valarray)}}}}
 
{{cpp/title|log{{small|(std::valarray)}}}}
{{cpp/numeric/valarray/sidebar}}
+
{{cpp/numeric/valarray/navbar}}
{{ddcl | header=valarray | 1=
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{{ddcl|header=valarray|1=
 
template< class T >
 
template< class T >
 
valarray<T> log( const valarray<T>& va );
 
valarray<T> log( const valarray<T>& va );
 
}}
 
}}
  
For each element in {{tt|va}} computes natural logarithm of the value of the element. This is done by applying {{cpp|log}} (unqualified) function.  
+
For each element in {{c|va}} computes natural logarithm of the value of the element.  
  
 
===Parameters===
 
===Parameters===
{{param list begin}}
+
{{par begin}}
{{param list item | va | value array to apply the operation to}}
+
{{par|va|value array to apply the operation to}}
{{param list end}}
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{{par end}}
  
 
===Return value===
 
===Return value===
Value array natural logarithms of the values in {{tt|va}}.
+
Value array containing natural logarithms of the values in {{c|va}}.
  
 
===Notes===
 
===Notes===
{{cpp/numeric/valarray/notes|log}}
+
{{cpp/numeric/valarray/notes unq|log}}
 +
 
 +
{{cpp/numeric/valarray/notes ret|log}}
  
 
===Possible implementation===
 
===Possible implementation===
{{eq fun cpp | 1=
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{{cpp/numeric/valarray/impl|log}}
template< class T >
+
valarray<T> log( const valarray<T>& va )
+
{
+
    valarray<T> other = va;
+
    for (T &i : other) {
+
        i = log(i);
+
    }
+
}
+
}}
+
  
 
===Example===
 
===Example===
{{example cpp
+
{{example
 
|code=
 
|code=
 +
#include <iomanip>
 +
#include <iostream>
 +
#include <valarray>
 +
 +
void show(char const* title, const std::valarray<double>& va)
 +
{
 +
    std::cout << title << " :" << std::right << std::fixed;
 +
    for (double x : va)
 +
        std::cout << std::setw(10) << x;
 +
    std::cout << '\n';
 +
}
 +
 +
int main()
 +
{
 +
    const std::valarray<double> n{0.0, 1.0, 2.0, 3.0};
 +
    const std::valarray<double> exp_n{std::exp(n)};
 +
    const std::valarray<double> log_exp_n{std::log(exp_n)};
 +
 +
    show("n      ", n);
 +
    show("eⁿ    ", exp_n);
 +
    show("log(eⁿ)", log_exp_n);
 +
}
 
|output=
 
|output=
 +
n      :  0.000000  1.000000  2.000000  3.000000
 +
eⁿ      :  1.000000  2.718282  7.389056 20.085537
 +
log(eⁿ) :  0.000000  1.000000  2.000000  3.000000
 
}}
 
}}
 +
 +
===See also===
 +
{{dsc begin}}
 +
{{dsc inc|cpp/numeric/valarray/dsc log10}}
 +
{{dsc inc|cpp/numeric/valarray/dsc exp}}
 +
{{dsc inc|cpp/numeric/math/dsc log}}
 +
{{dsc inc|cpp/numeric/complex/dsc log}}
 +
{{dsc end}}
 +
 +
{{langlinks|de|es|fr|it|ja|pt|ru|zh}}

Latest revision as of 01:50, 17 October 2023

 
 
 
 
Defined in header <valarray>
template< class T >
valarray<T> log( const valarray<T>& va );

For each element in va computes natural logarithm of the value of the element.

Contents

[edit] Parameters

va - value array to apply the operation to

[edit] Return value

Value array containing natural logarithms of the values in va.

[edit] Notes

Unqualified function (log) is used to perform the computation. If such function is not available, std::log is used due to argument-dependent lookup.

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

[edit] Possible implementation

template<class T>
valarray<T> log(const valarray<T>& va)
{
    valarray<T> other = va;
    for (T& i : other)
        i = log(i);
 
    return other; // proxy object may be returned
}

[edit] Example

#include <iomanip>
#include <iostream>
#include <valarray>
 
void show(char const* title, const std::valarray<double>& va)
{
    std::cout << title << " :" << std::right << std::fixed;
    for (double x : va)
        std::cout << std::setw(10) << x;
    std::cout << '\n';
}
 
int main()
{
    const std::valarray<double> n{0.0, 1.0, 2.0, 3.0};
    const std::valarray<double> exp_n{std::exp(n)};
    const std::valarray<double> log_exp_n{std::log(exp_n)};
 
    show("n      ", n);
    show("eⁿ     ", exp_n);
    show("log(eⁿ)", log_exp_n);
}

Output:

n       :  0.000000  1.000000  2.000000  3.000000
eⁿ      :  1.000000  2.718282  7.389056 20.085537
log(eⁿ) :  0.000000  1.000000  2.000000  3.000000

[edit] See also

applies the function std::log10 to each element of valarray
(function template) [edit]
applies the function std::exp to each element of valarray
(function template) [edit]
(C++11)(C++11)
computes natural (base e) logarithm (ln(x))
(function) [edit]
complex natural logarithm with the branch cuts along the negative real axis
(function template) [edit]