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How does the C++ library perform mathematical calculations?

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Release: 2024-04-18 22:21:01
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The <cmath> header file in the C standard library provides a wealth of mathematical functions, including trigonometric functions, hyperbolic functions, exponential and logarithmic functions, etc. These functions make it easy to perform common mathematical operations such as calculating the area of ​​a circle, the Pythagorean Theorem, solving quadratic equations, and finding extreme values.

C++ 函数库如何进行数学计算?

Mathematical calculations in the C function library

The C standard library provides a rich set of mathematical functions that can be used to perform various common mathematical operations. These functions are typically located in <cmath> header files and provide access to the following common mathematical functions:

  • Trigonometric functions (sin, cos, tan)
  • Inverse trigonometric function (asin, acos, atan)
  • Hyperbolic functions (sinh, cosh, tanh)
  • Exponential and logarithmic functions (exp, log, log10)
  • Other commonly used functions (sqrt, pow, abs, round, floor, ceil)

##Code example:

Consider the following code snippet, which uses math functions from the

cmath function library to calculate the area of ​​a circle:

#include <iostream>
#include <cmath>

using namespace std;

int main() {
    // 定义圆的半径
    double radius = 5.0;

    // 使用cmath函数库计算圆的面积
    double area = M_PI * pow(radius, 2);

    // 打印圆的面积
    cout << "圆的面积: " << area << endl;

    return 0;
}
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In this example, we include

<cmath> header file and uses the M_PI constant to represent pi. We use the pow function to calculate the square of the radius and then multiply it with M_PI to get the area of ​​the circle.

More practical cases:

  • Calculating the Pythagorean Theorem:Use the sqrt function to calculate the hypotenuse length.
  • Solve quadratic equations: Use the quadratic_formula function to solve the roots of a quadratic equation.
  • Find the maximum and minimum values: Use the max and min functions to find the maximum and minimum values ​​in a set of numbers.

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