C++库文件 <cmath> (math.h)
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1、三角函数 Trigonometric functions
1.1、 cos() 函数
/* cos example */#include <stdio.h> /* printf */#include <math.h> /* cos */#define PI 3.14159265int 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;}
1.2 sin() 正弦函数
/* sin example */#include <stdio.h> /* printf */#include <math.h> /* sin */#define PI 3.14159265int 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;}
1.3、 tan() 正切函数
/* tan example */#include <stdio.h> /* printf */#include <math.h> /* tan */#define PI 3.14159265int 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;}
1.4、 acos() 反余弦函数
/* acos example */#include <stdio.h> /* printf */#include <math.h> /* acos */#define PI 3.14159265int 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;}
1.5、asin() 反正弦函数
/* asin example */#include <stdio.h> /* printf */#include <math.h> /* asin */#define PI 3.14159265int 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;}
1.6、atan() 反正切函数
/* atan example */#include <stdio.h> /* printf */#include <math.h> /* atan */#define PI 3.14159265int 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;}
1.7、atan2() 带两个参数的反正切函数
/* atan2 example */#include <stdio.h> /* printf */#include <math.h> /* atan2 */#define PI 3.14159265int 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;}
2、双曲函数 Hyperbolic functions
2.1、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;}
2.2、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;}
2.3、双曲正切函数
/* 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;}
3、指数函数与对数函数 Exponential and logarithmic functions
3.1、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;}
3.2、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;}
3.3、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;}
3.4、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;}
3.5、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;}
3.6、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;}
3.7、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;}
4、幂函数 Power functions
4.1、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;}
4.2、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;}
4.3、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;}
4.4、hypot(x,y) 计算直角三角形的斜边 ( The square root of (x^2+y^2) )
/* 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;}
5、误差与伽马函数 Error and gamma functions
5.1、误差函数erf(x)
/* erf example */#include <stdio.h> /* printf */#include <math.h> /* erf */int main (){ double param, result; param = 1.0; result = erf (param); printf ("erf (%f) = %f\n", param, result ); return 0;}
5.2、余差函数erfc(x) erfc(x) = 1-erf(x) 误差函数的补函数
/* erfc example */#include <stdio.h> /* printf */#include <math.h> /* erfc */int main (){ double param, result; param = 1.0; result = erfc (param); printf ("erfc(%f) = %f\n", param, result ); return 0;}
5.3、tgamma(x) 伽马函数 ( the gamma function )
/* tgamma example */#include <stdio.h> /* printf */#include <math.h> /* tgamma */int main (){ double param, result; param = 0.5; result = tgamma (param); printf ("tgamma(%f) = %f\n", param, result ); return 0;}
5.4、lgamma(x) log伽马函数 ( log-gamma function )
/* lgamma example */#include <stdio.h> /* printf */#include <math.h> /* lgamma */int main (){ double param, result; param = 0.5; result = lgamma (param); printf ("lgamma(%f) = %f\n", param, result ); return 0;}
6、四舍五入与余数函数Rounding and remainder functions
6.1、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;}
6.2、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;}
6.3、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;}
6.4、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;}
7、绝对值、最小、最大 Absolute、Minimum, maximum
7.1、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;}
7.2、abs(x) x的绝对值
// cmath's abs example#include <iostream> // std::cout#include <cmath> // std::absint main (){ std::cout << "abs (3.1416) = " << std::abs (3.1416) << '\n'; std::cout << "abs (-10.6) = " << std::abs (-10.6) << '\n'; return 0;}
7.3、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;}
7.4、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;}
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