c 开头的函数之复数篇

1. cabs，cabsf，cabsl

1.1 函数说明

函数声明	函数功能
double cabs (double complex z);	计算复数 z 的绝对值（double）
float cabsf (float complex z);	计算复数 z 的绝对值（float）
long double cabsl (long double complex z);	计算复数 z 的绝对值（long double）

1.2 演示示例

// Huazie
#include <stdio.h>
#include <complex.h>int main(void)
{double complex z;double x = 2.0, y = 2.0, val;z = x + y * I; // I 代指 虚数单位 ival = cabs(z); // 计算复数 z 的绝对值float complex zf;float xf = 2.0, yf = 2.0, valf;zf = xf + yf * I;valf = cabsf(zf);long double complex zL;long double xL = 2.0, yL = 2.0, valL;zL = xL + yL * I;valL = cabsl(zL);printf("The absolute value of (%.4lf + %.4lfi) is %.20lf\n", x, y, val);printf("The absolute value of (%.4f + %.4fi) is %.20f\n", xf, yf, valf);printf("The absolute value of (%.4Lf + %.4Lfi) is %.20Lf", xL, yL, valL);return 0;
}

1.3 运行结果

2. creal，crealf，creall

2.1 函数说明

函数声明	函数功能
double creal (double complex z);	计算复数z的实部（double）
float crealf (float complex z);	计算复数z的实部（float）
long double creall (long double complex z);	计算复数z的反余弦（long double）

2.2 演示示例

// Huazie
#include <stdio.h>
#include <complex.h>int main(void)
{double complex z;double x = 2.0, y = 1.0;z = x + y * I; // I 代指 虚数单位 ifloat complex zf;float xf = 3.0, yf = 1.0;zf = xf + yf * I;long double complex zL;long double xL = 4.0, yL = 1.0;zL = xL + yL * I;printf("The real part of (%.4lf + %.4lfi) is %.4lf\n", x, y, creal(z));printf("The real part of (%.4f + %.4fi) is %.4f\n", xf, yf, crealf(zf));printf("The real part of (%.4Lf + %.4Lfi) is %.4Lf", xL, yL, creall(zL));return 0;
}

2.3 运行结果

3. cimag，cimagf，cimagl

3.1 函数说明

函数声明	函数功能
double cimag (double complex z);	计算复数z的虚部（double）
float cimagf (float complex z);	计算复数z的虚部（float）
long double cimagl (long double complex z);	计算复数z的虚部（long double）

3.2 演示示例

// Huazie
#include <stdio.h>
#include <complex.h>int main(void)
{double complex z;double x = 1.0, y = 2.0;z = x + y * I; // I 代指 虚数单位 ifloat complex zf;float xf = 1.0, yf = 3.0;zf = xf + yf * I;long double complex zL;long double xL = 1.0, yL = 4.0;zL = xL + yL * I;printf("The imaginary part of (%.4lf + %.4lfi) is %.4lf\n", x, y, cimag(z));printf("The imaginary part of (%.4f + %.4fi) is %.4f\n", xf, yf, cimagf(zf));printf("The imaginary part of (%.4Lf + %.4Lfi) is %.4Lf", xL, yL, cimagl(zL));return 0;
}

3.3 运行结果

4. carg，cargf，cargl

4.1 函数说明

函数声明	函数功能
double carg (double complex z);	计算复数z的相位角 （double）
float cargf (float complex z);	计算复数z的相位角（float）
long double cargl (long double complex z);	计算复数z的相位角（long double）

4.2 演示示例

#include <stdio.h>
#include <complex.h>int main(void)
{double complex z;z = 1.0 + 2.0 * I; // I 代指 虚数单位 ifloat complex zf;zf = 1.0f + 2.0f * I;long double complex zL;zL = (long double) 1.0 + (long double) 2.0 * I;printf("The phase angle of (%.4lf + %.4lfi) is %.60lf\n", creal(z), cimag(z), carg(z));printf("The phase angle of (%.4f + %.4fi) is %.60f\n", crealf(zf), cimagf(zf), cargf(zf));printf("The phase angle of (%.4Lf + %.4Lfi) is %.60Lf", creall(zL), cimagl(zL), cargl(zL));return 0;
}

4.3 运行结果

5. cacos，cacosf，cacosl

5.1 函数说明

函数声明	函数功能
double complex cacos (double complex z);	计算复数z的反余弦 （double complex）
float complex cacosf (float complex z);	计算复数z的反余弦（float complex）
long double complex cacosl (long double complex z);	计算复数z的反余弦（long double complex）

5.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcacos;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcacos = cacos(z); // 计算复数z的反余弦float complex zf, zcacosf;zf = 1.0f + 2.0f * I;zcacosf = cacosf(zf);long double complex zL, zcacosl;zL = (long double) 1.0 + (long double) 2.0 * I;zcacosl = cacosl(zL);double zimag = cimag(zcacos);float zimagf = cimagf(zcacosf);long double zimagl = cimagl(zcacosl);if (zimag < 0) printf("The arc cosine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcacos), fabs(zimag));else printf("The arc cosine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcacos), zimag);       if (zimagf < 0) printf("The arc cosine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcacosf), fabsf(zimagf));else printf("The arc cosine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcacosf), zimagf);if (zimagl < 0) printf("The arc cosine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcacosl), fabsl(zimagl));else printf("The arc cosine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcacosl), zimagl);return 0;
}

5.3 运行结果

6. cacosh，cacoshf，cacoshl

6.1 函数说明

函数声明	函数功能
double complex cacosh (double complex z);	计算复数z的反双曲余弦（double complex）
float complex cacoshf (float complex z);	计算复数z的反双曲余弦（float complex）
long double complex cacoshl (long double complex z);	计算复数z的反双曲余弦（long double complex）

6.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcacosh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcacosh = cacosh(z); // 反双曲余弦float complex zf, zcacoshf;zf = 1.0f + 2.0f * I;zcacoshf = cacoshf(zf);long double complex zL, zcacoshl;zL = (long double) 1.0 + (long double) 2.0 * I;zcacoshl = cacoshl(zL);double zimag = cimag(zcacosh);float zimagf = cimagf(zcacoshf);long double zimagl = cimagl(zcacoshl);if (zimag < 0) printf("The inverse hyperbolic cosine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcacosh), fabs(zimag));else printf("The inverse hyperbolic cosine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcacosh), zimag);       if (zimagf < 0) printf("The inverse hyperbolic cosine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcacoshf), fabsf(zimagf));else printf("The inverse hyperbolic cosine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcacoshf), zimagf);if (zimagl < 0) printf("The inverse hyperbolic cosine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcacoshl), fabsl(zimagl));else printf("The inverse hyperbolic cosine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcacoshl), zimagl);return 0;
}

6.3 运行结果

7. casin，casinf，casinl

7.1 函数说明

函数声明	函数功能
double complex casin (double complex z);	计算复数z的反正弦（double complex）
float complex casinf (float complex z);	计算复数z的反正弦（float complex）
long double complex casinl (long double complex z);	计算复数z的反正弦（long double complex）

7.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcasin;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcasin = casin(z); // 反正弦float complex zf, zcasinf;zf = 1.0f + 2.0f * I;zcasinf = casinf(zf);long double complex zL, zcasinl;zL = (long double) 1.0 + (long double) 2.0 * I;zcasinl = casinl(zL);double zimag = cimag(zcasin);float zimagf = cimagf(zcasinf);long double zimagl = cimagl(zcasinl);if (zimag < 0) printf("The arcsine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcasin), fabs(zimag));else printf("The arcsine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcasin), zimag);       if (zimagf < 0) printf("The arcsine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcasinf), fabsf(zimagf));else printf("The arcsine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcasinf), zimagf);if (zimagl < 0) printf("The arcsine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcasinl), fabsl(zimagl));else printf("The arcsine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcasinl), zimagl);return 0;
}

7.3 运行结果

8. casinh，casinhf，casinhl

8.1 函数说明

函数声明	函数功能
double complex casinh (double complex z);	计算复数z的反双曲正弦（double complex）
float complex casinhf (float complex z);	计算复数z的反双曲正弦（float complex）
long double complex casinhl (long double complex z);	计算复数z的反双曲正弦（long double complex）

8.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcasinh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcasinh = casinh(z); // 反双曲正弦float complex zf, zcasinhf;zf = 1.0f + 2.0f * I;zcasinhf = casinhf(zf);long double complex zL, zcasinhl;zL = (long double) 1.0 + (long double) 2.0 * I;zcasinhl = casinhl(zL);double zimag = cimag(zcasinh);float zimagf = cimagf(zcasinhf);long double zimagl = cimagl(zcasinhl);if (zimag < 0) printf("The inverse hyperbolic sine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcasinh), fabs(zimag));else printf("The inverse hyperbolic sine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcasinh), zimag);       if (zimagf < 0) printf("The inverse hyperbolic sine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcasinhf), fabsf(zimagf));else printf("The inverse hyperbolic sine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcasinhf), zimagf);if (zimagl < 0) printf("The inverse hyperbolic sine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcasinhl), fabsl(zimagl));else printf("The inverse hyperbolic sine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcasinhl), zimagl);return 0;
}

8.3 运行结果

9. catan，catanf，catanl

9.1 函数说明

函数声明	函数功能
double complex catan (double complex z);	计算复数z的反正切（double complex）
float complex catanf (float complex z);	计算复数z的反正切（float complex）
long double complex catanl (long double complex z);	计算复数z的反正切（long double complex）

9.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcatan;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcatan = catan(z); // 反正切float complex zf, zcatanf;zf = 1.0f + 2.0f * I;zcatanf = catanf(zf);long double complex zL, zcatanl;zL = (long double) 1.0 + (long double) 2.0 * I;zcatanl = catanl(zL);double zimag = cimag(zcatan);float zimagf = cimagf(zcatanf);long double zimagl = cimagl(zcatanl);if (zimag < 0) printf("The arc tangent of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcatan), fabs(zimag));else printf("The arc tangent of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcatan), zimag);       if (zimagf < 0) printf("The arc tangent of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcatanf), fabsf(zimagf));else printf("The arc tangent of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcatanf), zimagf);if (zimagl < 0) printf("The arc tangent of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcatanl), fabsl(zimagl));else printf("The arc tangent of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcatanl), zimagl);return 0;
}

9.3 运行结果

10. catanh，catanhf，catanhl

10.1 函数说明

函数声明	函数功能
double complex catanh (double complex z);	计算复数z的反双曲正切（double complex）
float complex catanhf (float complex z);	计算复数z的反双曲正切（float complex）
long double complex catanhl (long double complex z);	计算复数z的反双曲正切（long double complex）

10.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcatanh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcatanh = catanh(z); // 反双曲正切float complex zf, zcatanhf;zf = 1.0f + 2.0f * I;zcatanhf = catanhf(zf);long double complex zL, zcatanhl;zL = (long double) 1.0 + (long double) 2.0 * I;zcatanhl = catanhl(zL);double zimag = cimag(zcatanh);float zimagf = cimagf(zcatanhf);long double zimagl = cimagl(zcatanhl);if (zimag < 0) printf("The inverse hyperbolic tangent of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcatanh), fabs(zimag));else printf("The inverse hyperbolic tangent of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcatanh), zimag);       if (zimagf < 0) printf("The inverse hyperbolic tangent of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcatanhf), fabsf(zimagf));else printf("The inverse hyperbolic tangent of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcatanhf), zimagf);if (zimagl < 0) printf("The inverse hyperbolic tangent of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcatanhl), fabsl(zimagl));else printf("The inverse hyperbolic tangent of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcatanhl), zimagl);return 0;
}

10.3 运行结果

11. ccos，ccosf，ccosl

11.1 函数说明

函数声明	函数功能
double complex ccos (double complex z);	计算复数z的余弦（double complex）
float complex ccosf (float complex z);	计算复数z的余弦（float complex）
long double complex ccosl (long double complex z);	计算复数z的余弦（long double complex）

11.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zccos;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izccos = ccos(z); // 余弦float complex zf, zccosf;zf = 1.0f + 2.0f * I;zccosf = ccosf(zf);long double complex zL, zccosl;zL = (long double) 1.0 + (long double) 2.0 * I;zccosl = ccosl(zL);double zimag = cimag(zccos);float zimagf = cimagf(zccosf);long double zimagl = cimagl(zccosl);if (zimag < 0) printf("The cosine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zccos), fabs(zimag));else printf("The cosine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zccos), zimag);       if (zimagf < 0) printf("The cosine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zccosf), fabsf(zimagf));else printf("The cosine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zccosf), zimagf);if (zimagl < 0) printf("The cosine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zccosl), fabsl(zimagl));else printf("The cosine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zccosl), zimagl);return 0;
}

11.3 运行结果

12. ccosh，ccoshf，ccoshl

12.1 函数说明

函数声明	函数功能
double complex ccosh (double complex z);	计算复数z的双曲余弦（double complex）
float complex ccoshf (float complex z);	计算复数z的双曲余弦（float complex）
long double complex ccoshl (long double complex z);	计算复数z的双曲余弦（long double complex）

12.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zccosh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izccosh = ccosh(z); // 双曲余弦float complex zf, zccoshf;zf = 1.0f + 2.0f * I;zccoshf = ccoshf(zf);long double complex zL, zccoshl;zL = (long double) 1.0 + (long double) 2.0 * I;zccoshl = ccoshl(zL);double zimag = cimag(zccosh);float zimagf = cimagf(zccoshf);long double zimagl = cimagl(zccoshl);if (zimag < 0) printf("The hyperbolic cosine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zccosh), fabs(zimag));else printf("The hyperbolic cosine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zccosh), zimag);       if (zimagf < 0) printf("The hyperbolic cosine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zccoshf), fabsf(zimagf));else printf("The hyperbolic cosine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zccoshf), zimagf);if (zimagl < 0) printf("The hyperbolic cosine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zccoshl), fabsl(zimagl));else printf("The hyperbolic cosine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zccoshl), zimagl);return 0;
}

12.3 运行结果

13. csin，csinf，csinl

13.1 函数说明

函数声明	函数功能
double complex csin (double complex z);	计算复数z的正弦（double complex）
float complex csinf (float complex z);	计算复数z的正弦（float complex）
long double complex csinl (long double complex z);	计算复数z的正弦（long double complex）

13.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcsin;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcsin = csin(z); // 正弦float complex zf, zcsinf;zf = 1.0f + 2.0f * I;zcsinf = csinf(zf);long double complex zL, zcsinl;zL = (long double) 1.0 + (long double) 2.0 * I;zcsinl = csinl(zL);double zimag = cimag(zcsin);float zimagf = cimagf(zcsinf);long double zimagl = cimagl(zcsinl);if (zimag < 0) printf("The sine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcsin), fabs(zimag));else printf("The sine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcsin), zimag);       if (zimagf < 0) printf("The sine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsinf), fabsf(zimagf));else printf("The sine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsinf), zimagf);if (zimagl < 0) printf("The sine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcsinl), fabsl(zimagl));else printf("The sine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcsinl), zimagl);return 0;
}

13.3 运行结果

14. csinh，csinhf，csinhl

14.1 函数说明

函数声明	函数功能
double complex csinh (double complex z);	计算复数z的双曲正弦（double complex）
float complex csinhf (float complex z);	计算复数z的双曲正弦（float complex）
long double complex csinhl (long double complex z);	计算复数z的双曲正弦（long double complex）

14.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcsinh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcsinh = csinh(z); // 双曲正弦float complex zf, zcsinhf;zf = 1.0f + 2.0f * I;zcsinhf = csinhf(zf);long double complex zL, zcsinhl;zL = (long double) 1.0 + (long double) 2.0 * I;zcsinhl = csinhl(zL);double zimag = cimag(zcsinh);float zimagf = cimagf(zcsinhf);long double zimagl = cimagl(zcsinhl);if (zimag < 0) printf("The hyperbolic sine of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcsinh), fabs(zimag));else printf("The hyperbolic sine of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcsinh), zimag);       if (zimagf < 0) printf("The hyperbolic sine of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsinhf), fabsf(zimagf));else printf("The hyperbolic sine of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsinhf), zimagf);if (zimagl < 0) printf("The hyperbolic sine of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcsinhl), fabsl(zimagl));else printf("The hyperbolic sine of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcsinhl), zimagl);return 0;
}

14.3 运行结果

15. ctan，ctanf，ctanl

15.1 函数说明

函数声明	函数功能
double complex ctan (double complex z);	计算复数z的正切（double complex）
float complex ctanf (float complex z);	计算复数z的正切（float complex）
long double complex ctanl (long double complex z);	计算复数z的正切（long double complex）

15.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zctan;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izctan = ctan(z); // 正切float complex zf, zctanf;zf = 1.0f + 2.0f * I;zctanf = ctanf(zf);long double complex zL, zctanl;zL = (long double) 1.0 + (long double) 2.0 * I;zctanl = ctanl(zL);double zimag = cimag(zctan);float zimagf = cimagf(zctanf);long double zimagl = cimagl(zctanl);if (zimag < 0) printf("The tangent of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zctan), fabs(zimag));else printf("The tangent of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zctan), zimag);       if (zimagf < 0) printf("The tangent of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zctanf), fabsf(zimagf));else printf("The tangent of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zctanf), zimagf);if (zimagl < 0) printf("The tangent of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zctanl), fabsl(zimagl));else printf("The tangent of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zctanl), zimagl);return 0;
}

15.3 运行结果

16. ctanh，ctanhf，ctanhl

16.1 函数说明

函数声明	函数功能
double complex ctanh (double complex z);	计算复数z的双曲正切（double complex）
float complex ctanhf (float complex z);	计算复数z的双曲正切（float complex）
long double complex ctanhl (long double complex z);	计算复数z的双曲正切（long double complex）

16.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zctanh;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izctanh = ctanh(z); // 双曲正切float complex zf, zctanhf;zf = 1.0f + 2.0f * I;zctanhf = ctanhf(zf);long double complex zL, zctanhl;zL = (long double) 1.0 + (long double) 2.0 * I;zctanhl = ctanhl(zL);double zimag = cimag(zctanh);float zimagf = cimagf(zctanhf);long double zimagl = cimagl(zctanhl);if (zimag < 0) printf("The inverse hyperbolic tangent of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zctanh), fabs(zimag));else printf("The inverse hyperbolic tangent of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zctanh), zimag);       if (zimagf < 0) printf("The inverse hyperbolic tangent of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zctanhf), fabsf(zimagf));else printf("The inverse hyperbolic tangent of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zctanhf), zimagf);if (zimagl < 0) printf("The inverse hyperbolic tangent of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zctanhl), fabsl(zimagl));else printf("The inverse hyperbolic tangent of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zctanhl), zimagl);return 0;
}

16.3 运行结果

17. cexp，cexpf，cexpl

17.1 函数说明

函数声明	函数功能
double complex cexp (double complex z);	计算复数z的指数基数e（double complex）
float complex cexpf (float complex z);	计算复数z的指数基数e（float complex）
long double complex cexpl (long double complex z);	计算复数z的指数基数e（long double complex）

17.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcexp;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcexp = cexp(z); // 指数基数efloat complex zf, zcexpf;zf = 1.0f + 2.0f * I;zcexpf = cexpf(zf);long double complex zL, zcexpl;zL = (long double) 1.0 + (long double) 2.0 * I;zcexpl = cexpl(zL);double zimag = cimag(zcexp);float zimagf = cimagf(zcexpf);long double zimagl = cimagl(zcexpl);if (zimag < 0) printf("The base-e exponential of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcexp), fabs(zimag));else printf("The base-e exponential of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcexp), zimag);       if (zimagf < 0) printf("The base-e exponential of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcexpf), fabsf(zimagf));else printf("The base-e exponential of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcexpf), zimagf);if (zimagl < 0) printf("The base-e exponential of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcexpl), fabsl(zimagl));else printf("The base-e exponential of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcexpl), zimagl);return 0;
}

17.3 运行结果

18. clog，clogf，clogl

18.1 函数说明

函数声明	函数功能
double complex clog (double complex z);	计算复数z的自然对数（以e为底）（double complex）
float complex clogf (float complex z);	计算复数z的自然对数（以e为底）（float complex）
long double complex clogl (long double complex z);	计算复数z的自然对数（以e为底）（long double complex）

18.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zclog;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izclog = clog(z); // 自然对数（以e为底）float complex zf, zclogf;zf = 1.0f + 2.0f * I;zclogf = clogf(zf);long double complex zL, zclogl;zL = (long double) 1.0 + (long double) 2.0 * I;zclogl = clogl(zL);double zimag = cimag(zclog);float zimagf = cimagf(zclogf);long double zimagl = cimagl(zclogl);if (zimag < 0) printf("The natural (base-e) logarithm of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zclog), fabs(zimag));else printf("The natural (base-e) logarithm of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zclog), zimag);       if (zimagf < 0) printf("The natural (base-e) logarithm of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zclogf), fabsf(zimagf));else printf("The natural (base-e) logarithm of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zclogf), zimagf);if (zimagl < 0) printf("The natural (base-e) logarithm of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zclogl), fabsl(zimagl));else printf("The natural (base-e) logarithm of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zclogl), zimagl);return 0;
}

18.3 运行结果

19. conj，conjf，conjl

19.1 函数说明

函数声明	函数功能
double complex conj (double complex z);	计算复数z的共轭（double complex）
float complex conjf (float complex z);	计算复数z的共轭（float complex）
long double complex conjl (long double complex z);	计算复数z的共轭（long double complex）

19.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zconj;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izconj = conj(z); // 共轭float complex zf, zconjf;zf = 1.0f + 2.0f * I;zconjf = conjf(zf);long double complex zL, zconjl;zL = (long double) 1.0 + (long double) 2.0 * I;zconjl = conjl(zL);double zimag = cimag(zconj);float zimagf = cimagf(zconjf);long double zimagl = cimagl(zconjl);if (zimag < 0) printf("The conjugate of (%.4lf + %.4lfi) is (%.4lf - %.4lfi)\n", creal(z), cimag(z), creal(zconj), fabs(zimag));else printf("The conjugate of (%.4lf + %.4lfi) is (%.4lf + %.4lfi)\n", creal(z), cimag(z), creal(zconj), zimag);       if (zimagf < 0) printf("The conjugate of (%.4f + %.4fi) is (%.4f - %.4fi)\n", crealf(zf), cimagf(zf), crealf(zconjf), fabsf(zimagf));else printf("The conjugate of (%.4f + %.4fi) is (%.4f + %.4fi)\n", crealf(zf), cimagf(zf), crealf(zconjf), zimagf);if (zimagl < 0) printf("The conjugate of (%.4Lf + %.4Lfi) is (%.4Lf - %.4Lfi)", creall(zL), cimagl(zL), creall(zconjl), fabsl(zimagl));else printf("The conjugate of (%.4Lf + %.4Lfi) is (%.4Lf + %.4Lfi)", creall(zL), cimagl(zL), creall(zconjl), zimagl);return 0;
}

19.3 运行结果

20. cpow，cpowf，cpowl

20.1 函数说明

函数声明	函数功能
double complex cpow (double complex x, double complex y);	计算x的y次方值 （double complex）
float complex cpowf (float complex x, float complex y);	计算x的y次方值 （float complex）
long double complex cpowl (long double complex x, long double complex y);	计算x的y次方值 （double complex）

20.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex x, y, z;x = 1.0 + 2.0 * I; // I 代指 虚数单位 iy = 2.0 + 1.0 * I; z = cpow(x, y); // x的y次方值float complex xf, yf, zf;xf = 1.0f + 2.0f * I;yf = 2.0f + 1.0f * I; zf = cpowf(xf, yf);long double complex xL, yL, zL;xL = (long double) 1.0 + (long double) 2.0 * I;yL = (long double) 2.0 + (long double) 1.0 * I;zL = cpowl(xL, yL);double zimag = cimag(z);float zimagf = cimagf(zf);long double zimagl = cimagl(zL);if (zimag < 0) printf("the value of (%.4lf + %.4lfi) raised to the (%.4lf + %.4lfi) power is (%.20lf - %.20lfi)\n", creal(x), cimag(x), creal(y), cimag(y), creal(z), fabs(zimag));else printf("the value of (%.4lf + %.4lfi) raised to the (%.4lf + %.4lfi) power is (%.20lf + %.20lfi)\n", creal(x), cimag(x), creal(y), cimag(y), creal(z), zimag);       if (zimagf < 0) printf("the value of (%.4f + %.4fi) raised to the (%.4f + %.4fi) power is (%.20f - %.20fi)\n", crealf(xf), cimagf(xf), crealf(yf), cimagf(yf), crealf(zf), fabs(zimagf));else printf("the value of (%.4f + %.4fi) raised to the (%.4f + %.4fi) power is (%.20f + %.20fi)\n", crealf(xf), cimagf(xf), crealf(yf), cimagf(yf), crealf(zf), zimagf);if (zimagl < 0) printf("the value of (%.4Lf + %.4Lfi) raised to the (%.4Lf + %.4Lfi) power is (%.20Lf - %.20Lfi)\n", creall(xL), cimagl(xL), creall(yL), cimagl(yL), creall(zL), fabs(zimagl));else printf("the value of (%.4Lf + %.4Lfi) raised to the (%.4Lf + %.4Lfi) power is (%.20Lf + %.20Lfi)\n", creall(xL), cimagl(xL), creall(yL), cimagl(yL), creall(zL), zimagl);    return 0;
}

20.3 运行结果

21. cproj，cprojf，cprojl

21.1 函数说明

函数声明	函数功能
double complex cproj (double complex z);	计算复数z在黎曼球面上的投影（double complex）
float complex cprojf (float complex z);	计算复数z在黎曼球面上的投影（float complex）
long double complex cprojl (long double complex z);	计算复数z在黎曼球面上的投影（long double complex）

21.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcproj;z = 1.0 + 2.0 * I; // I 代指 虚数单位 izcproj = cproj(z); // 计算复数z在黎曼球面上的投影float complex zf, zcprojf;zf = NAN + INFINITY * I;zcprojf = cprojf(zf);long double complex zL, zcprojl;zL = INFINITY + (long double) 3.0 * I; zcprojl = cprojl(zL); // 结果相当于  INFINITY + i*copysign(0.0, cimag(z)).double zimag = cimag(zcproj);float zimagf = cimagf(zcprojf);long double zimagl = cimagl(zcprojl);if (zimag < 0) printf("The projection of the (%.4lf + %.4lf i) onto the Riemann sphere is (%.4lf - %.4lf i)\n", creal(z), cimag(z), creal(zcproj), fabs(zimag));else printf("The projection of the (%.4lf + %.4lf i) onto the Riemann sphere is (%.4lf + %.4lf i)\n", creal(z), cimag(z), creal(zcproj), zimag);       if (zimagf < 0) printf("The projection of the (%.4f + %.4f i) onto the Riemann sphere is (%.4f - %.4f i)\n", crealf(zf), cimagf(zf), crealf(zcprojf), fabsf(zimagf));else printf("The projection of the (%.4f + %.4f i) onto the Riemann sphere is (%.4f + %.4f i)\n", crealf(zf), cimagf(zf), crealf(zcprojf), zimagf);if (zimagl < 0) printf("The projection of the (%.4Lf + %.4Lf i) onto the Riemann sphere is (%.4Lf - %.4Lf i)", creall(zL), cimagl(zL), creall(zcprojl), fabsl(zimagl));else printf("The projection of the (%.4Lf + %.4Lf i) onto the Riemann sphere is (%.4Lf + %.4Lf i)", creall(zL), cimagl(zL), creall(zcprojl), zimagl);return 0;
}

21.3 运行结果

22. csqrt，csqrtf，csqrtl

22.1 函数说明

函数声明	函数功能
double complex csqrt (double complex z);	计算复数z的平方根（double complex）
float complex csqrtf (float complex z);	计算复数z的平方根（float complex）
long double complex csqrtl (long double complex z);	计算复数z的平方根（long double complex）

22.2 演示示例

#include <stdio.h>
#include <math.h>
#include <complex.h>int main(void)
{double complex z, zcsqrt;z = 9.0 + 9.0 * I; // I 代指 虚数单位 izcsqrt = csqrt(z); // 平方根float complex zf, zcsqrtf;zf = 4.0f + 4.0f * I;zcsqrtf = csqrtf(zf);long double complex zL, zcsqrtl;zL = (long double) 16.0 + (long double) 16.0 * I;zcsqrtl = csqrtl(zL);double zimag = cimag(zcsqrt);float zimagf = cimagf(zcsqrtf);long double zimagl = cimagl(zcsqrtl);if (zimag < 0) printf("The square root of (%.4lf + %.4lfi) is (%.20lf - %.20lfi)\n", creal(z), cimag(z), creal(zcsqrt), fabs(zimag));else printf("The square root of (%.4lf + %.4lfi) is (%.20lf + %.20lfi)\n", creal(z), cimag(z), creal(zcsqrt), zimag);       if (zimagf < 0) printf("The square root of (%.4f + %.4fi) is (%.20f - %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsqrtf), fabsf(zimagf));else printf("The square root of (%.4f + %.4fi) is (%.20f + %.20fi)\n", crealf(zf), cimagf(zf), crealf(zcsqrtf), zimagf);if (zimagl < 0) printf("The square root of (%.4Lf + %.4Lfi) is (%.20Lf - %.20Lfi)", creall(zL), cimagl(zL), creall(zcsqrtl), fabsl(zimagl));else printf("The square root of (%.4Lf + %.4Lfi) is (%.20Lf + %.20Lfi)", creall(zL), cimagl(zL), creall(zcsqrtl), zimagl);return 0;
}

22.3 运行结果

参考

1. 【MATH-标准C库】

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