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std::hypot

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< cpp‎ | numeric‎ | math

 
 
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De ponto flutuante ambiente
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Tempo de compilação aritmética racional (C++11)
Genéricos operações numéricas
Original:
Generic numeric operations
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iota(C++11)
accumulate
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adjacent_difference
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Funções matemáticas comuns
Funções
Original:
Functions
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Operações básicas
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Basic operations
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remainder(C++11)
remquo(C++11)
fma(C++11)
fmax(C++11)
fmin(C++11)
fdim(C++11)
nan
nanf
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(C++11)
(C++11)
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Exponential functions
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exp
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Power functions
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sqrt
cbrt(C++11)
hypot(C++11)
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Número inteiro mais próximo de operações de ponto flutuante
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Flutuando funções de manipulação de pontos
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Constantes de macros
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Macro constants
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FP_NORMAL
FP_SUBNORMAL
FP_ZERO
FP_INFINITE
FP_NAN
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Defined in header <cmath>
float       hypot( float x, float y );
(1) (a partir do C++ 11)
double      hypot( double x, double y );
(2) (a partir do C++ 11)
long double hypot( long double x, long double y );
(3) (a partir do C++ 11)
Promoted    hypot( Arithmetic x, Arithmetic y );
(4) (a partir do C++ 11)
Calcula a raiz quadrada da soma dos quadrados dos x e y, sem excesso indevido ou underflow nas fases intermédias do cálculo. Este é o comprimento da hipotenusa de um triângulo rectângulo com lados de comprimento e x y, ou a distância entre o ponto a partir do (x,y) (0,0) origem, ou a magnitude de um número complexo x+iy
Original:
Computes the square root of the sum of the squares of x and y, without undue overflow or underflow at intermediate stages of the computation. This is the length of the hypotenuse of a right-angled triangle with sides of length x and y, or the distance of the point (x,y) from the origin (0,0), or the magnitude of a complex number x+iy
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4)
Se algum argumento tem tipo integral, ele é convertido para double. Se qualquer outro argumento é long double, em seguida, o tipo de retorno é long double, caso contrário é double.
Original:
If any argument has integral type, it is cast to double. If any other argument is long double, then the return type is long double, otherwise it is double.
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Índice

[editar] Parâmetros

x -
flutuando valor de ponto
Original:
floating point value
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y -
flutuando valor de ponto
Original:
floating point value
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[editar] Valor de retorno

A hipotenusa de um triângulo retângulo, x2
+y2
.
Original:
The hypotenuse of a right-angled triangle, x2
+y2
.
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[editar] Exceções

Se o resultado transborda, um erro pode ocorrer gama e pode ser levantada FE_OVERFLOW.
Original:
If the result overflows, a range error may occur and FE_OVERFLOW may be raised.
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Se o resultado for subnormal, um erro pode ocorrer underflow e FE_UNDERFLOW pode ser levantada.
Original:
If the result is subnormal, an underflow error may occur and FE_UNDERFLOW may be raised.
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[editar] Notas

Estratégia de implementação típica é calcular um equivalente de u1+(
v
u
)2
onde u é std::max(x,y) e v é std::min(x,y).
Original:
Typical implementation strategy is to calculate an equivalent of u1+(
v
u
)2
where u is std::max(x,y) and v is std::min(x,y).
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[editar] Exemplo

#include <cmath>
#include <utility>
#include <iostream>
 
std::pair<double, double> cartesian_to_polar(double x, double y)
{
    return {std::hypot(x, y), std::atan2(y,x)};
}
 
int main()
{
    std::pair<double, double> polar = cartesian_to_polar(1, 1);
    std::cout << "(1,1) cartesian is (" << polar.first
               << "," << polar.second<< ") polar\n";
}

Output:

(1,1) cartesian is (1.41421,0.785398) polar

[editar] Veja também

Calcula a raiz quadrada (x)
Original:
computes square root (x)
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(função) [edit]
levanta uma série para o poder dado (xy)
Original:
raises a number to the given power (xy)
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(função) [edit]
retorna a magnitude de um número complexo
Original:
returns the magnitude of a complex number
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(modelo de função) [edit]