标准库头文件 <cmath>

此头文件原作为 <math.h> 存在于 C 标准库。

此头文件是数值库的一部分。

类型
float_t (C++11)	至少和 float 一样宽的最高效浮点类型 (typedef)
double_t (C++11)	至少和 double 一样宽的最高效浮点类型 (typedef)
宏
HUGE_VALFHUGE_VALHUGE_VALL (C++11)(C++11)	分别指出 float、double 和 long double 的上溢值 (宏常量)
INFINITY (C++11)	求值为正无穷大或保证使 float 上溢的值 (宏常量)
NAN (C++11)	求值为 float 类型的静默 NAN (宏常量)
math_errhandlingMATH_ERRNOMATH_ERREXCEPT (C++11)(C++11)(C++11)	定义常用数学函数所用的错误处理机制 (宏常量)
分类
FP_NORMALFP_SUBNORMALFP_ZEROFP_INFINITEFP_NAN (C++11)(C++11)(C++11)(C++11)(C++11)	指示浮点类别 (宏常量)
函数
基本运算
abs(float)fabsfabsffabsl (C++11)(C++11)	浮点值的绝对值（ $\small{\|x\|}$ $\|x\|$ ） (函数)
fmodfmodffmodl (C++11)(C++11)	浮点除法运算的余数 (函数)
remainderremainderfremainderl (C++11)(C++11)(C++11)	除法运算的有符号余数 (函数)
remquoremquofremquol (C++11)(C++11)(C++11)	除法运算的有符号余数和最后三个二进制位 (函数)
fmafmaffmal (C++11)(C++11)(C++11)	混合的乘加运算 (函数)
fmaxfmaxffmaxl (C++11)(C++11)(C++11)	两个浮点值的较大者 (函数)
fminfminffminl (C++11)(C++11)(C++11)	两个浮点值的较小者 (函数)
fdimfdimffdiml (C++11)(C++11)(C++11)	两个浮点值的正数差（ ${\small\max{(0, x-y)} }$ $max(0, x-y)$ ） (函数)
nannanfnanl (C++11)(C++11)(C++11)	非数（NaN） (函数)
线性插值
lerp (C++20)	线性插值函数 (函数)
指数函数
expexpfexpl (C++11)(C++11)	返回 e 的给定次幂（ ${\small e^x}$ $e x$ ） (函数)
exp2exp2fexp2l (C++11)(C++11)(C++11)	返回 2 的给定次幂（ ${\small 2^x}$ $2 x$ ） (函数)
expm1expm1fexpm1l (C++11)(C++11)(C++11)	返回 e 的给定次幂减一（ ${\small e^x-1}$ $e x -1$ ） (函数)
loglogflogl (C++11)(C++11)	计算自然（以 e 为底）对数（ ${\small \ln{x} }$ $ln(x)$ ） (函数)
log10log10flog10l (C++11)(C++11)	计算常用（以 10 为底）对数（ ${\small \log_{10}{x} }$ $log 10 (x)$ ） (函数)
log2log2flog2l (C++11)(C++11)(C++11)	给定数值的以 2 为底的对数（ ${\small \log_{2}{x} }$ $log 2 (x)$ ） (函数)
log1plog1pflog1pl (C++11)(C++11)(C++11)	1 加上给定数值的自然（以 e 为底）对数（ ${\small \ln{(1+x)} }$ $ln(1+x)$ ） (函数)
幂函数
powpowfpowl (C++11)(C++11)	求某数的给定次幂（ $\small{x^y}$ $x y$ ） (函数)
sqrtsqrtfsqrtl (C++11)(C++11)	计算平方根（ $\small{\sqrt{x} }$ $\sqrt x$ ） (函数)
cbrtcbrtfcbrtl (C++11)(C++11)(C++11)	计算立方根（ $\small{\sqrt[3]{x} }$ $3 \sqrt x$ ） (函数)
hypothypotfhypotl (C++11)(C++11)(C++11)	计算两个给定数的平方和的平方根（ $\scriptsize{\sqrt{x^2+y^2} }$ $\sqrt x 2 +y 2$ ） (函数)
三角函数
sinsinfsinl (C++11)(C++11)	计算正弦（ ${\small\sin{x} }$ $sin(x)$ ） (函数)
coscosfcosl (C++11)(C++11)	计算余弦（ ${\small\cos{x} }$ $cos(x)$ ） (函数)
tantanftanl (C++11)(C++11)	计算正切（ ${\small\tan{x} }$ $tan(x)$ ） (函数)
asinasinfasinl (C++11)(C++11)	计算反正弦（ ${\small\arcsin{x} }$ $arcsin(x)$ ） (函数)
acosacosfacosl (C++11)(C++11)	计算反余弦（ ${\small\arccos{x} }$ $arccos(x)$ ） (函数)
atanatanfatanl (C++11)(C++11)	计算反正切（ ${\small\arctan{x} }$ $arctan(x)$ ） (函数)
atan2atan2fatan2l (C++11)(C++11)	反正切，用符号确定象限 (函数)
双曲函数
sinhsinhfsinhl (C++11)(C++11)	计算双曲正弦（ ${\small\sinh{x} }$ $sinh(x)$ ） (函数)
coshcoshfcoshl (C++11)(C++11)	计算双曲余弦（ ${\small\cosh{x} }$ $cosh(x)$ ） (函数)
tanhtanhftanhl (C++11)(C++11)	计算双曲正切（ ${\small\tanh{x} }$ $tanh(x)$ ） (函数)
asinhasinhfasinhl (C++11)(C++11)(C++11)	计算反双曲正弦（ ${\small\operatorname{arsinh}{x} }$ $arsinh(x)$ ） (函数)
acoshacoshfacoshl (C++11)(C++11)(C++11)	计算反双曲余弦（ ${\small\operatorname{arcosh}{x} }$ $arcosh(x)$ ） (函数)
atanhatanhfatanhl (C++11)(C++11)(C++11)	计算反双曲正切（ ${\small\operatorname{artanh}{x} }$ $artanh(x)$ ） (函数)
误差与伽马函数
erferfferfl (C++11)(C++11)(C++11)	误差函数 (函数)
erfcerfcferfcl (C++11)(C++11)(C++11)	补误差函数 (函数)
tgammatgammaftgammal (C++11)(C++11)(C++11)	gamma 函数 (函数)
lgammalgammaflgammal (C++11)(C++11)(C++11)	gamma 函数的自然对数 (函数)
临近整数的浮点运算
ceilceilfceill (C++11)(C++11)	不小于给定值的最接近整数值 (函数)
floorfloorffloorl (C++11)(C++11)	不大于给定值的最接近整数 (函数)
trunctruncftruncl (C++11)(C++11)(C++11)	绝对值不大于给定值的最接近整数 (函数)
roundroundfroundllroundlroundflroundlllroundllroundfllroundl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	最接近整数，中间情况下向远离零舍入 (函数)
nearbyintnearbyintfnearbyintl (C++11)(C++11)(C++11)	使用当前舍入模式的最接近整数 (函数)
rintrintfrintllrintlrintflrintlllrintllrintfllrintl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	使用当前舍入模式的最接近整数若结果有别则有异常 (函数)
浮点操纵函数
frexpfrexpffrexpl (C++11)(C++11)	将数分解为有效数字和 2 的幂次 (函数)
ldexpldexpfldexpl (C++11)(C++11)	将数乘以 2 的幂次 (函数)
modfmodffmodfl (C++11)(C++11)	分解数为整数和小数部分 (函数)
scalbnscalbnfscalbnlscalblnscalblnfscalblnl (C++11)(C++11)(C++11)(C++11)(C++11)(C++11)	将数乘以 FLT_RADIX 的幂次 (函数)
ilogbilogbfilogbl (C++11)(C++11)(C++11)	提取数的指数 (函数)
logblogbflogbl (C++11)(C++11)(C++11)	提取数的指数 (函数)
nextafternextafterfnextafterlnexttowardnexttowardfnexttowardl (C++11)(C++11) (C++11)(C++11)(C++11)(C++11)	趋向给定值的下个可表示浮点值 (函数)
copysigncopysignfcopysignl (C++11)(C++11)(C++11)	复制浮点值的符号 (函数)
分类与比较
fpclassify (C++11)	归类给定的浮点值 (函数)
isfinite (C++11)	检查给定数是否拥有有限值 (函数)
isinf (C++11)	检查给定数是否为无限 (函数)
isnan (C++11)	检查给定的数是否 NaN (函数)
isnormal (C++11)	检查给定数是否正规 (函数)
signbit (C++11)	检查给定数是否为负 (函数)
isgreater (C++11)	检查第一个浮点实参是否大于第二个 (函数)
isgreaterequal (C++11)	检查第一个浮点实参是否大于或等于第二个 (函数)
isless (C++11)	检查第一个浮点实参是否小于第二个 (函数)
islessequal (C++11)	检查第一个浮点实参是否小于或等于第二个 (函数)
islessgreater (C++11)	检查第一个浮点实参是否小于或大于第二个 (函数)
isunordered (C++11)	检查两个浮点值是否无顺序 (函数)
数学特殊函数
assoc_laguerreassoc_laguerrefassoc_laguerrel (C++17)(C++17)(C++17)	连带拉盖尔多项式 (函数)
assoc_legendreassoc_legendrefassoc_legendrel (C++17)(C++17)(C++17)	连带勒让德多项式 (函数)
betabetafbetal (C++17)(C++17)(C++17)	beta 函数 (函数)
comp_ellint_1comp_ellint_1fcomp_ellint_1l (C++17)(C++17)(C++17)	第一类（完全）椭圆积分 (函数)
comp_ellint_2comp_ellint_2fcomp_ellint_2l (C++17)(C++17)(C++17)	第二类（完全）椭圆积分 (函数)
comp_ellint_3comp_ellint_3fcomp_ellint_3l (C++17)(C++17)(C++17)	第三类（完全）椭圆积分 (函数)
cyl_bessel_icyl_bessel_ifcyl_bessel_il (C++17)(C++17)(C++17)	规则变形圆柱贝塞尔函数 (函数)
cyl_bessel_jcyl_bessel_jfcyl_bessel_jl (C++17)(C++17)(C++17)	（第一类）圆柱贝塞尔函数 (函数)
cyl_bessel_kcyl_bessel_kfcyl_bessel_kl (C++17)(C++17)(C++17)	不规则变形圆柱贝塞尔函数 (函数)
cyl_neumanncyl_neumannfcyl_neumannl (C++17)(C++17)(C++17)	圆柱诺依曼函数 (函数)
ellint_1ellint_1fellint_1l (C++17)(C++17)(C++17)	第一类（不完全）椭圆积分 (函数)
ellint_2ellint_2fellint_2l (C++17)(C++17)(C++17)	第二类（不完全）椭圆积分 (函数)
ellint_3ellint_3fellint_3l (C++17)(C++17)(C++17)	第三类（不完全）椭圆积分 (函数)
expintexpintfexpintl (C++17)(C++17)(C++17)	指数积分 (函数)
hermitehermitefhermitel (C++17)(C++17)(C++17)	埃尔米特多项式 (函数)
legendrelegendreflegendrel (C++17)(C++17)(C++17)	勒让德多项式 (函数)
laguerrelaguerreflaguerrel (C++17)(C++17)(C++17)	拉盖尔多项式 (函数)
riemann_zetariemann_zetafriemann_zetal (C++17)(C++17)(C++17)	黎曼 zeta 函数 (函数)
sph_besselsph_besselfsph_bessell (C++17)(C++17)(C++17)	（第一类）球面贝塞尔函数 (函数)
sph_legendresph_legendrefsph_legendrel (C++17)(C++17)(C++17)	球面连带勒让德函数 (函数)
sph_neumannsph_neumannfsph_neumannl (C++17)(C++17)(C++17)	球面诺依曼函数 (函数)

概要

namespace std {
  using float_t = /* 见描述 */;
  using double_t = /* 见描述 */;
}
 
#define HUGE_VAL /* 见描述 */
#define HUGE_VALF /* 见描述 */
#define HUGE_VALL /* 见描述 */
#define INFINITY /* 见描述 */
#define NAN /* 见描述 */
#define FP_INFINITE /* 见描述 */
#define FP_NAN /* 见描述 */
#define FP_NORMAL /* 见描述 */
#define FP_SUBNORMAL /* 见描述 */
#define FP_ZERO /* 见描述 */
#define FP_FAST_FMA /* 见描述 */
#define FP_FAST_FMAF /* 见描述 */
#define FP_FAST_FMAL /* 见描述 */
#define FP_ILOGB0 /* 见描述 */
#define FP_ILOGBNAN /* 见描述 */
#define MATH_ERRNO /* 见描述 */
#define MATH_ERREXCEPT /* 见描述 */
 
#define math_errhandling /* 见描述 */
 
namespace std {
  float acos(float x);
  double acos(double x);
  long double acos(long double x);
  float acosf(float x);
  long double acosl(long double x);
 
  float asin(float x);
  double asin(double x);
  long double asin(long double x);
  float asinf(float x);
  long double asinl(long double x);
 
  float atan(float x);
  double atan(double x);
  long double atan(long double x);
  float atanf(float x);
  long double atanl(long double x);
 
  float atan2(float y, float x);
  double atan2(double y, double x);
  long double atan2(long double y, long double x);
  float atan2f(float y, float x);
  long double atan2l(long double y, long double x);
 
  float cos(float x);
  double cos(double x);
  long double cos(long double x);
  float cosf(float x);
  long double cosl(long double x);
 
  float sin(float x);
  double sin(double x);
  long double sin(long double x);
  float sinf(float x);
  long double sinl(long double x);
 
  float tan(float x);
  double tan(double x);
  long double tan(long double x);
  float tanf(float x);
  long double tanl(long double x);
 
  float acosh(float x);
  double acosh(double x);
  long double acosh(long double x);
  float acoshf(float x);
  long double acoshl(long double x);
 
  float asinh(float x);
  double asinh(double x);
  long double asinh(long double x);
  float asinhf(float x);
  long double asinhl(long double x);
 
  float atanh(float x);
  double atanh(double x);
  long double atanh(long double x);
  float atanhf(float x);
  long double atanhl(long double x);
 
  float cosh(float x);
  double cosh(double x);
  long double cosh(long double x);
  float coshf(float x);
  long double coshl(long double x);
 
  float sinh(float x);
  double sinh(double x);
  long double sinh(long double x);
  float sinhf(float x);
  long double sinhl(long double x);
 
  float tanh(float x);
  double tanh(double x);
  long double tanh(long double x);
  float tanhf(float x);
  long double tanhl(long double x);
 
  float exp(float x);
  double exp(double x);
  long double exp(long double x);
  float expf(float x);
  long double expl(long double x);
 
  float exp2(float x);
  double exp2(double x);
  long double exp2(long double x);
  float exp2f(float x);
  long double exp2l(long double x);
 
  float expm1(float x);
  double expm1(double x);
  long double expm1(long double x);
  float expm1f(float x);
  long double expm1l(long double x);
 
  float frexp(float value, int* exp);
  double frexp(double value, int* exp);
  long double frexp(long double value, int* exp);
  float frexpf(float value, int* exp);
  long double frexpl(long double value, int* exp);
 
  int ilogb(float x);
  int ilogb(double x);
  int ilogb(long double x);
  int ilogbf(float x);
  int ilogbl(long double x);
 
  float ldexp(float x, int exp);
  double ldexp(double x, int exp);
  long double ldexp(long double x, int exp);
  float ldexpf(float x, int exp);
  long double ldexpl(long double x, int exp);
 
  float log(float x);
  double log(double x);
  long double log(long double x);
  float logf(float x);
  long double logl(long double x);
 
  float log10(float x);
  double log10(double x);
  long double log10(long double x);
  float log10f(float x);
  long double log10l(long double x);
 
  float log1p(float x);
  double log1p(double x);
  long double log1p(long double x);
  float log1pf(float x);
  long double log1pl(long double x);
 
  float log2(float x);
  double log2(double x);
  long double log2(long double x);
  float log2f(float x);
  long double log2l(long double x);
 
  float logb(float x);
  double logb(double x);
  long double logb(long double x);
  float logbf(float x);
  long double logbl(long double x);
 
  float modf(float value, float* iptr);
  double modf(double value, double* iptr);
  long double modf(long double value, long double* iptr);
  float modff(float value, float* iptr);
  long double modfl(long double value, long double* iptr);
 
  float scalbn(float x, int n);
  double scalbn(double x, int n);
  long double scalbn(long double x, int n);
  float scalbnf(float x, int n);
  long double scalbnl(long double x, int n);
 
  float scalbln(float x, long int n);
  double scalbln(double x, long int n);
  long double scalbln(long double x, long int n);
  float scalblnf(float x, long int n);
  long double scalblnl(long double x, long int n);
 
  float cbrt(float x);
  double cbrt(double x);
  long double cbrt(long double x);
  float cbrtf(float x);
  long double cbrtl(long double x);
 
  // 绝对值
  int abs(int j);
  long int abs(long int j);
  long long int abs(long long int j);
  float abs(float j);
  double abs(double j);
  long double abs(long double j);
 
  float fabs(float x);
  double fabs(double x);
  long double fabs(long double x);
  float fabsf(float x);
  long double fabsl(long double x);
 
  float hypot(float x, float y);
  double hypot(double x, double y);
  long double hypot(long double x, long double y);
  float hypotf(float x, float y);
  long double hypotl(long double x, long double y);
 
  // 三维斜边
  float hypot(float x, float y, float z);
  double hypot(double x, double y, double z);
  long double hypot(long double x, long double y, long double z);
 
  float pow(float x, float y);
  double pow(double x, double y);
  long double pow(long double x, long double y);
  float powf(float x, float y);
  long double powl(long double x, long double y);
 
  float sqrt(float x);
  double sqrt(double x);
  long double sqrt(long double x);
  float sqrtf(float x);
  long double sqrtl(long double x);
 
  float erf(float x);
  double erf(double x);
  long double erf(long double x);
  float erff(float x);
  long double erfl(long double x);
 
  float erfc(float x);
  double erfc(double x);
  long double erfc(long double x);
  float erfcf(float x);
  long double erfcl(long double x);
 
  float lgamma(float x);
  double lgamma(double x);
  long double lgamma(long double x);
  float lgammaf(float x);
  long double lgammal(long double x);
 
  float tgamma(float x);
  double tgamma(double x);
  long double tgamma(long double x);
  float tgammaf(float x);
  long double tgammal(long double x);
 
  float ceil(float x);
  double ceil(double x);
  long double ceil(long double x);
  float ceilf(float x);
  long double ceill(long double x);
 
  float floor(float x);
  double floor(double x);
  long double floor(long double x);
  float floorf(float x);
  long double floorl(long double x);
 
  float nearbyint(float x);
  double nearbyint(double x);
  long double nearbyint(long double x);
  float nearbyintf(float x);
  long double nearbyintl(long double x);
 
  float rint(float x);
  double rint(double x);
  long double rint(long double x);
  float rintf(float x);
  long double rintl(long double x);
 
  long int lrint(float x);
  long int lrint(double x);
  long int lrint(long double x);
  long int lrintf(float x);
  long int lrintl(long double x);
 
  long long int llrint(float x);
  long long int llrint(double x);
  long long int llrint(long double x);
  long long int llrintf(float x);
  long long int llrintl(long double x);
 
  float round(float x);
  double round(double x);
  long double round(long double x);
  float roundf(float x);
  long double roundl(long double x);
 
  long int lround(float x);
  long int lround(double x);
  long int lround(long double x);
  long int lroundf(float x);
  long int lroundl(long double x);
 
  long long int llround(float x);
  long long int llround(double x);
  long long int llround(long double x);
  long long int llroundf(float x);
  long long int llroundl(long double x);
 
  float trunc(float x);
  double trunc(double x);
  long double trunc(long double x);
  float truncf(float x);
  long double truncl(long double x);
 
  float fmod(float x, float y);
  double fmod(double x, double y);
  long double fmod(long double x, long double y);
  float fmodf(float x, float y);
  long double fmodl(long double x, long double y);
 
  float remainder(float x, float y);
  double remainder(double x, double y);
  long double remainder(long double x, long double y);
  float remainderf(float x, float y);
  long double remainderl(long double x, long double y);
 
  float remquo(float x, float y, int* quo);
  double remquo(double x, double y, int* quo);
  long double remquo(long double x, long double y, int* quo);
  float remquof(float x, float y, int* quo);
  long double remquol(long double x, long double y, int* quo);
 
  float copysign(float x, float y);
  double copysign(double x, double y);
  long double copysign(long double x, long double y);
  float copysignf(float x, float y);
  long double copysignl(long double x, long double y);
 
  double nan(const char* tagp);
  float nanf(const char* tagp);
  long double nanl(const char* tagp);
 
  float nextafter(float x, float y);
  double nextafter(double x, double y);
  long double nextafter(long double x, long double y);
  float nextafterf(float x, float y);
  long double nextafterl(long double x, long double y);
 
  float nexttoward(float x, long double y);
  double nexttoward(double x, long double y);
  long double nexttoward(long double x, long double y);
  float nexttowardf(float x, long double y);
  long double nexttowardl(long double x, long double y);
 
  float fdim(float x, float y);
  double fdim(double x, double y);
  long double fdim(long double x, long double y);
  float fdimf(float x, float y);
  long double fdiml(long double x, long double y);
 
  float fmax(float x, float y);
  double fmax(double x, double y);
  long double fmax(long double x, long double y);
  float fmaxf(float x, float y);
  long double fmaxl(long double x, long double y);
 
  float fmin(float x, float y);
  double fmin(double x, double y);
  long double fmin(long double x, long double y);
  float fminf(float x, float y);
  long double fminl(long double x, long double y);
 
  float fma(float x, float y, float z);
  double fma(double x, double y, double z);
  long double fma(long double x, long double y, long double z);
  float fmaf(float x, float y, float z);
  long double fmal(long double x, long double y, long double z);
 
  // 线性插值
  constexpr float lerp(float a, float b, float t) noexcept;
  constexpr double lerp(double a, double b, double t) noexcept;
  constexpr long double lerp(long double a, long double b, long double t) noexcept;
 
  // 分类/比较函数
  int fpclassify(float x);
  int fpclassify(double x);
  int fpclassify(long double x);
 
  bool isfinite(float x);
  bool isfinite(double x);
  bool isfinite(long double x);
 
  bool isinf(float x);
  bool isinf(double x);
  bool isinf(long double x);
 
  bool isnan(float x);
  bool isnan(double x);
  bool isnan(long double x);
 
  bool isnormal(float x);
  bool isnormal(double x);
  bool isnormal(long double x);
 
  bool signbit(float x);
  bool signbit(double x);
  bool signbit(long double x);
 
  bool isgreater(float x, float y);
  bool isgreater(double x, double y);
  bool isgreater(long double x, long double y);
 
  bool isgreaterequal(float x, float y);
  bool isgreaterequal(double x, double y);
  bool isgreaterequal(long double x, long double y);
 
  bool isless(float x, float y);
  bool isless(double x, double y);
  bool isless(long double x, long double y);
 
  bool islessequal(float x, float y);
  bool islessequal(double x, double y);
  bool islessequal(long double x, long double y);
 
  bool islessgreater(float x, float y);
  bool islessgreater(double x, double y);
  bool islessgreater(long double x, long double y);
 
  bool isunordered(float x, float y);
  bool isunordered(double x, double y);
  bool isunordered(long double x, long double y);
 
  // 数学特殊函数
 
  // 连带拉盖尔多项式
  double       assoc_laguerre(unsigned n, unsigned m, double x);
  float        assoc_laguerref(unsigned n, unsigned m, float x);
  long double  assoc_laguerrel(unsigned n, unsigned m, long double x);
 
  // 连带勒让德多项式
  double       assoc_legendre(unsigned l, unsigned m, double x);
  float        assoc_legendref(unsigned l, unsigned m, float x);
  long double  assoc_legendrel(unsigned l, unsigned m, long double x);
 
  // beta 函数
  double       beta(double x, double y);
  float        betaf(float x, float y);
  long double  betal(long double x, long double y);
 
  // 第一类完全椭圆积分
  double       comp_ellint_1(double k);
  float        comp_ellint_1f(float k);
  long double  comp_ellint_1l(long double k);
 
  // 第二类完全椭圆积分
  double       comp_ellint_2(double k);
  float        comp_ellint_2f(float k);
  long double  comp_ellint_2l(long double k);
 
  // 第三类完全椭圆积分
  double       comp_ellint_3(double k, double nu);
  float        comp_ellint_3f(float k, float nu);
  long double  comp_ellint_3l(long double k, long double nu);
 
  // 规则变形圆柱贝塞尔函数
  double       cyl_bessel_i(double nu, double x);
  float        cyl_bessel_if(float nu, float x);
  long double  cyl_bessel_il(long double nu, long double x);
 
  // 第一类圆柱贝塞尔函数
  double       cyl_bessel_j(double nu, double x);
  float        cyl_bessel_jf(float nu, float x);
  long double  cyl_bessel_jl(long double nu, long double x);
 
  // 不规则变形圆柱贝塞尔函数
  double       cyl_bessel_k(double nu, double x);
  float        cyl_bessel_kf(float nu, float x);
  long double  cyl_bessel_kl(long double nu, long double x);
 
  // 圆柱诺伊曼函数；
  // 第二类圆柱贝塞尔函数
  double       cyl_neumann(double nu, double x);
  float        cyl_neumannf(float nu, float x);
  long double  cyl_neumannl(long double nu, long double x);
 
  // 第一类不完全椭圆积分
  double       ellint_1(double k, double phi);
  float        ellint_1f(float k, float phi);
  long double  ellint_1l(long double k, long double phi);
 
  // 第二类不完全椭圆积分
  double       ellint_2(double k, double phi);
  float        ellint_2f(float k, float phi);
  long double  ellint_2l(long double k, long double phi);
 
  // 第三类不完全椭圆积分
  double       ellint_3(double k, double nu, double phi);
  float        ellint_3f(float k, float nu, float phi);
  long double  ellint_3l(long double k, long double nu, long double phi);
 
  // 指数积分
  double       expint(double x);
  float        expintf(float x);
  long double  expintl(long double x);
 
  // 埃尔米特多项式
  double       hermite(unsigned n, double x);
  float        hermitef(unsigned n, float x);
  long double  hermitel(unsigned n, long double x);
 
  // 拉盖尔多项式
  double       laguerre(unsigned n, double x);
  float        laguerref(unsigned n, float x);
  long double  laguerrel(unsigned n, long double x);
 
  // 勒让德多项式
  double       legendre(unsigned l, double x);
  float        legendref(unsigned l, float x);
  long double  legendrel(unsigned l, long double x);
 
  // 黎曼 zeta 函数
  double       riemann_zeta(double x);
  float        riemann_zetaf(float x);
  long double  riemann_zetal(long double x);
 
  // 第一类球面贝塞尔函数
  double       sph_bessel(unsigned n, double x);
  float        sph_besself(unsigned n, float x);
  long double  sph_bessell(unsigned n, long double x);
 
  // 球面连带勒让德函数
  double       sph_legendre(unsigned l, unsigned m, double theta);
  float        sph_legendref(unsigned l, unsigned m, float theta);
  long double  sph_legendrel(unsigned l, unsigned m, long double theta);
 
  // 球面诺依曼函数；
  // 第二类球面贝塞尔函数
  double       sph_neumann(unsigned n, double x);
  float        sph_neumannf(unsigned n, float x);
  long double  sph_neumannl(unsigned n, long double x);
}

语言
标准库头文件
自立与有宿主实现
具名要求
语言支持库
概念库 (C++20)
诊断库
工具库
字符串库
容器库
迭代器库
范围库 (C++20)
算法库
数值库
本地化库
输入/输出库
文件系统库 (C++17)
正则表达式库 (C++11)
原子操作库 (C++11)
线程支持库 (C++11)
技术规范

标准库头文件 <cmath>

类型

宏

分类

函数

基本运算

线性插值

指数函数

幂函数

三角函数

双曲函数

误差与伽马函数

临近整数的浮点运算

浮点操纵函数

分类与比较

数学特殊函数

概要

导航