std::conj(std::complex)(3)

💅 NAME 💅

std::conj(std::complex) — bestie, this is literally std::conj(std::complex), the glow-up machine that flips the sign on the imaginary part and hands you back the complex conjugate ✨

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🦋 Synopsis 🦋

Ok so first things first, this whole thing lives in the header <complex> 💖

template< class T >
std::complex<T> conj( const std::complex<T>& z );

(until C++20)

template< class T >
constexpr std::complex<T> conj( const std::complex<T>& z );

(since C++20)

🌸 Additional overloads (since C++11) 🌸

Also! Defined in the header <complex> (yes, again, same header, she's consistent):

std::complex<float>       conj( float f );
std::complex<double>      conj( double f );
std::complex<long double> conj( long double f );

(until C++20)

constexpr std::complex<float>       conj( float f );
constexpr std::complex<double>      conj( double f );
constexpr std::complex<long double> conj( long double f );

(since C++20) (until C++23) — that's overload (A) iykyk

template< class FloatingPoint >
constexpr std::complex<FloatingPoint> conj( FloatingPoint f );

(since C++23)

template< class Integer >
constexpr std::complex<double> conj( Integer i );

(until C++20) — overload (B) 🎀

template< class Integer >
constexpr std::complex<double> conj( Integer i );

(since C++20)

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🧚 DESCRIPTION vibes 🧚

1) Computes the complex conjugate of z by reversing the sign of the imaginary part. That's it, that's the whole trick, and she ate 💅

A,B) Additional overloads are provided for all integer and floating-point types, which are treated as complex numbers with zero imaginary component. (since C++11) — so your boring little float gets to sit at the complex-kids table 🫶

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🍓 Parameters 🍓

• z — a complex value 💜
• f — a floating-point value ✨
• i — an integer value 🌸

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👑 Return value 👑

• 1) The complex conjugate of z. Slay.
• A) std::complex(f).
• B) std::complex<double>(i).

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💀 Notes 💀

Real talk: the additional overloads are not required to be provided exactly as (A,B). They only need to be sufficient to ensure that for their argument num:

• If num has a standard (until C++23) floating-point type T, then std::conj(num) has the same effect as std::conj(std::complex<T>(num)).
• Otherwise, if num has an integer type, then std::conj(num) has the same effect as std::conj(std::complex<double>(num)).

So like, the vibes are flexible but the behaviour is locked in 😌

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🎀 Example 🎀

// Run this code

#include <complex>
#include <iostream>

int main()
{
    std::complex<double> z(1.0, 2.0);
    std::cout << "The conjugate of " << z << " is " << std::conj(z) << '\n'
              << "Their product is " << z * std::conj(z) << '\n';
}

⭐ Output: ⭐

The conjugate of (1,2) is (1,-2)
Their product is (5,0)

Not the product being <hotpink>(5,0)</hotpink> — a real number era, main character energy fr fr 🔥

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🌈 See also 🌈

• abs(std::complex) — returns the magnitude of a complex number (function template) 💖
• norm — returns the squared magnitude (function template) ✨
• polar — constructs a complex number from magnitude and phase angle (function template) 🦋
• C documentation for conj — the C side of the family, go say hi 🫶

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ok bestie that's the whole page, no cap, nothing skipped, you're officially a conj connoisseur 💅

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mwah 💋 this page came to you courtesy of http://cppreference.com, version 2024.06.10, filed under std::conj(std::complex)(3) — go forth and conjugate responsibly 🌸