04 C/C++ math库详解

我就是我 2023-06-12 09:58 45阅读 0赞

本文转载链接：https://blog.csdn.net/AnthongDai/article/details/78696573

# 04 math库的详解 #

*  1、cos() 函数

/* cos example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* cos */
    #define PI 3.14159265
    int main ()
    {
      double param, result;
      param = 60.0;
      result = cos ( param * PI / 180.0 );
      printf ("The cosine of %f degrees is %f.\n", param, result );
      return 0;
    }

*  2 、sin() 正弦函数

/* sin example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* sin */
    
    #define PI 3.14159265
    
    int main ()
    {
      double param, result;
      param = 30.0;
      result = sin (param*PI/180);
      printf ("The sine of %f degrees is %f.\n", param, result );
      return 0;
    }

*  3、tan() 正切函数

/* tan example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* tan */
    
    #define PI 3.14159265
    
    int main ()
    {
      double param, result;
      param = 45.0;
      result = tan ( param * PI / 180.0 );
      printf ("The tangent of %f degrees is %f.\n", param, result );
      return 0;
    }

*  4、acos() 反余弦函数

/* cos example */
    /* acos example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* acos */
    
    #define PI 3.14159265
    
    int main ()
    {
      double param, result;
      param = 0.5;
      result = acos (param) * 180.0 / PI;
      printf ("The arc cosine of %f is %f degrees.\n", param, result);
      return 0;
    }

*  5、asin() 反正弦函数

/* asin example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* asin */
    
    #define PI 3.14159265
    
    int main ()
    {
      double param, result;
      param = 0.5;
      result = asin (param) * 180.0 / PI;
      printf ("The arc sine of %f is %f degrees\n", param, result);
      return 0;
    }

6、atan() 反正切函数

/* atan example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* atan */
    
    #define PI 3.14159265
    
    int main ()
    {
      double param, result;
      param = 1.0;
      result = atan (param) * 180 / PI;
      printf ("The arc tangent of %f is %f degrees\n", param, result );
      return 0;
    }

7、atan2() 带两个参数的反正切函数

/* atan2 example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* atan2 */
    
    #define PI 3.14159265
    
    int main ()
    {
      double x, y, result;
      x = -10.0;
      y = 10.0;
      result = atan2 (y,x) * 180 / PI;
      printf ("The arc tangent for (x=%f, y=%f) is %f degrees\n", x, y, result );
      return 0;
    }

双曲线函数///

*  8、双曲余弦函数

* cosh example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* cosh, log */
    
    int main ()
    {
      double param, result;
      param = log(2.0);
      result = cosh (param);
      printf ("The hyperbolic cosine of %f is %f.\n", param, result );
      return 0;
    }

*  9、双曲正弦函数

/* sinh example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* sinh, log */
    
    int main ()
    {
      double param, result;
      param = log(2.0);
      result = sinh (param);
      printf ("The hyperbolic sine of %f is %f.\n", param, result );
      return 0;
    }

*  10、双曲正切函数

/* cos example */
    /* tanh example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* tanh, log */
    
    int main ()
    {
      double param, result;
      param = log(2.0);
      result = tanh (param);
      printf ("The hyperbolic tangent of %f is %f.\n", param, result);
      return 0;
    }

///指数函数与对数函数 Exponential and logarithmic functions/

*  11、exp () 指数函数，以 e 为底数

/* exp example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* exp */
    
    int main ()
    {
      double param, result;
      param = 5.0;
      result = exp (param);
      printf ("The exponential value of %f is %f.\n", param, result );
      return 0;
    }

*  12、frexp(param，n) 二进制浮点数表示方法 x=param\*2^n

/* frexp example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* frexp */
    
    int main ()
    {
      double param, result;
      int n;
    
      param = 8.0;
      result = frexp (param , &n);
      printf ("%f = %f * 2^%d\n", param, result, n);
      return 0;
    }

*  13、log(x) x的自然对数 (Natural logarithm of x)

/* log example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* log */
    
    int main ()
    {
      double param, result;
      param = 5.5;
      result = log (param);
      printf ("log(%f) = %f\n", param, result );
      return 0;
    }

*  14、log10() 常用对数，以10为底 ( Common logarithm of x )

/* log10 example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* log10 */
    
    int main ()
    {
      double param, result;
      param = 1000.0;
      result = log10 (param);
      printf ("log10(%f) = %f\n", param, result );
      return 0;
    }

*  15、modf() 返回x的小数部分，其符号与x相同 ，但是参数中可以添加整数部分的变量( The fractional part of x, with the same sign)

/* modf example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* modf */
    
    int main ()
    {
      double param, fractpart, intpart;
    
      param = 3.14159265;
      fractpart = modf (param , &intpart);
      printf ("%f = %f + %f \n", param, intpart, fractpart);
      return 0;
    }

*  16、exp2() 返回2的x次方，2 raised to the power of x.

/* exp2 example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* exp2 */
    
    int main ()
    {
      double param, result;
      param = 8.0;
      result = exp2 (param);
      printf ("2 ^ %f = %f.\n", param, result );
      return 0;
    }

*  17、log2() x的二进制对数( The binary logarithm of x)

/* log2 example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* log2 */
    
    int main ()
    {
      double param, result;
      param = 1024.0;
      result = log2 (param);
      printf ("log2 (%f) = %f.\n", param, result );
      return 0;
    }

/幂函数 Power functions//

*  18、pow(base, power) 幂函数 The result of raising base to the power exponent

/* pow example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* pow */
    
    int main ()
    {
      printf ("7 ^ 3 = %f\n", pow (7.0, 3.0) );
      printf ("4.73 ^ 12 = %f\n", pow (4.73, 12.0) );
      printf ("32.01 ^ 1.54 = %f\n", pow (32.01, 1.54) );
      return 0;
    }

*  19、sqrt(x) 计算x的平方根

/* sqrt example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* sqrt */
    
    int main ()
    {
      double param, result;
      param = 1024.0;
      result = sqrt (param);
      printf ("sqrt(%f) = %f\n", param, result );
      return 0;
    }

*  20、cbrt(x) 计算x的立方根

/* cbrt example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* cbrt */
    
    int main ()
    {
      double param, result;
      param = 27.0;
      result = cbrt (param);
      printf ("cbrt (%f) = %f\n", param, result);
      return 0;
    }

*  21、hypot(x,y) 计算直角三角形的斜边 ( The square root of (x2+y2) )

/* hypot example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* hypot */
    
    int main ()
    {
      double leg_x, leg_y, result;
      leg_x = 3;
      leg_y = 4;
      result = hypot (leg_x, leg_y);
      printf ("%f, %f and %f form a right-angled triangle.\n",leg_x,leg_y,result);
      return 0;
    }

*  22、log10() 常用对数，以10为底 ( Common logarithm of x )

*  23、hypot(x,y) 计算直角三角形的斜边 ( The square root of (x2+y2) )

//四舍五入与余数函数Rounding and remainder functions///

*  24、ceil(x) x上取整函数

/* ceil example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* ceil */
    
    int main ()
    {
      printf ( "ceil of 2.3 is %.1f\n", ceil(2.3) );
      printf ( "ceil of 3.8 is %.1f\n", ceil(3.8) );
      printf ( "ceil of -2.3 is %.1f\n", ceil(-2.3) );
      printf ( "ceil of -3.8 is %.1f\n", ceil(-3.8) );
      return 0;
    }

*  25、floor(x) x的下取整函数

/* floor example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* floor */
    int main ()
    {
      printf ( "floor of 2.3 is %.1lf\n", floor (2.3) );
      printf ( "floor of 3.8 is %.1lf\n", floor (3.8) );
      printf ( "floor of -2.3 is %.1lf\n", floor (-2.3) );
      printf ( "floor of -3.8 is %.1lf\n", floor (-3.8) );
      return 0;
    }

*  26、fmod(y, x) y/x的余数

/* fmod example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* fmod */
    
    int main ()
    {
      printf ( "fmod of 5.3 / 2 is %f\n", fmod (5.3,2) );
      printf ( "fmod of 18.5 / 4.2 is %f\n", fmod (18.5,4.2) );
      return 0;
    }

*  27、round(x) x的四舍五入值

/* round vs floor vs ceil vs trunc */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* round, floor, ceil, trunc */
    
    int main ()
    {
      const char * format = "%.1f \t%.1f \t%.1f \t%.1f \t%.1f\n";
      printf ("value\tround\tfloor\tceil\ttrunc\n");
      printf ("-----\t-----\t-----\t----\t-----\n");
      printf (format, 2.3,round( 2.3),floor( 2.3),ceil( 2.3),trunc( 2.3));
      printf (format, 3.8,round( 3.8),floor( 3.8),ceil( 3.8),trunc( 3.8));
      printf (format, 5.5,round( 5.5),floor( 5.5),ceil( 5.5),trunc( 5.5));
      printf (format,-2.3,round(-2.3),floor(-2.3),ceil(-2.3),trunc(-2.3));
      printf (format,-3.8,round(-3.8),floor(-3.8),ceil(-3.8),trunc(-3.8));
      printf (format,-5.5,round(-5.5),floor(-5.5),ceil(-5.5),trunc(-5.5));
      return 0;
    }

///绝对值、最小、最大 Absolute、Minimum, maximum//

*  29、fabs(x) x的绝对值函数

/* fabs example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* fabs */
    
    int main ()
    {
      printf ("The absolute value of 3.1416 is %f\n", fabs (3.1416) );
      printf ("The absolute value of -10.6 is %f\n", fabs (-10.6) );
      return 0;
    }

*  30、abs(x) x的绝对值

// cmath's abs example
    #include <iostream>     // std::cout
    #include <cmath>        // std::abs
    
    int main ()
    {
      std::cout << "abs (3.1416) = " << std::abs (3.1416) << '\n';
      std::cout << "abs (-10.6)  = " << std::abs (-10.6) << '\n';
      return 0;
    }

*  31、fmax(x, y) 两个参数中的最大值 (The maximum numeric value of its arguments. Values among which the function selects a maximum )

/* fmax example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* fmax */
    
    int main ()
    {
      printf ("fmax (100.0, 1.0) = %f\n", fmax(100.0,1.0));
      printf ("fmax (-100.0, 1.0) = %f\n", fmax(-100.0,1.0));
      printf ("fmax (-100.0, -1.0) = %f\n", fmax(-100.0,-1.0));
      return 0;
    }

*  32、fmin(x, y) 两个参数中的最小值

/* fmin example */
    #include <stdio.h>      /* printf */
    #include <math.h>       /* fmin */
    
    int main ()
    {
      printf ("fmin (100.0, 1.0) = %f\n", fmin(100.0,1.0));
      printf ("fmin (-100.0, 1.0) = %f\n", fmin(-100.0,1.0));
      printf ("fmin (-100.0, -1.0) = %f\n", fmin(-100.0,-1.0));
      return 0;
    }