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xComplex.h
 
/*******************************************************************/
/*                                                                 */
/*     filename : xComplex.h                                       */
/*     author   : edison.shih/edisonx                              */
/*     compiler : Visual C++ 2008                                  */
/*     date     : 2011.03.07                                       */
/*                                                                 */
/*         A.L.L.     R.I.G.H.T.S.     R.E.S.E.R.V.E.              */
/*                                                                 */
/*******************************************************************/
#ifndef X_COMPLEX_H_
#define X_COMPLEX_H_
typedef struct tagxcompolex{
     double real;
     double img;
}xComplex;
// ---------------------------------
// 加法運算
int comp_add(xComplex *rst,
                const xComplex z1,
                const xComplex z2);
// ---------------------------------
// rst+=z
int comp_adds(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 減法運算
int comp_sub(xComplex *rst,
                const xComplex z1,
                const xComplex z2);
// ---------------------------------
// rst-=z
int comp_subs(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 乘法運算
int comp_mul(xComplex *rst,
                const xComplex z1,
                const xComplex z2);
// ---------------------------------
// rst*=z
int comp_muls(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 除法運算
int comp_div(xComplex *rst,
                const xComplex z1,
                const xComplex z2,
                const double eps);
// ---------------------------------
// rst/=z
int comp_divs(xComplex *rst,
                const xComplex z,
                const double eps);
// ---------------------------------
// 倒數運算
int comp_inv(xComplex *rst,
                const xComplex z,
                const double eps);
// ---------------------------------
// rst = 1/ rst
int comp_invs(xComplex *rst,
                const double eps);
// ---------------------------------
// 負數運算
int comp_neg(xComplex *rst,
                const xComplex z);
// ---------------------------------
// rst = -rst
int comp_negs(xComplex *rst);
// ---------------------------------
// 共軛運算
int comp_conj(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 複數顯示
void comp_dis(const xComplex z);
// ---------------------------------
// 複數比較
int comp_cmp(const xComplex z1,
                const xComplex z2,
                const double eps);
// ---------------------------------
// 模數
double comp_norm(const xComplex z);
// ---------------------------------
// 角度
double comp_sita(const xComplex z);
// ---------------------------------
// n 次根號
int comp_nroot(xComplex* rst,
                   const xComplex z,
                   const int n,
                   const double eps);
// ---------------------------------
// exp(z)
int comp_exp(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 整數次方, pow(z, n)
int comp_pown(xComplex *rst,
                const xComplex z,
                const int n);
// ---------------------------------
// log(z)
int comp_log(xComplex *rst,
                const xComplex z);
// ---------------------------------
// 複數次方, z=pow(z1, z2)
int comp_pow(xComplex *rst,
                const xComplex z1,
                const xComplex z2);
// ---------------------------------
// sin(z)
int comp_sin(xComplex *rst,
                const xComplex z);
// ---------------------------------
// cos(z)
int comp_cos(xComplex *rst,
                const xComplex z);
// ---------------------------------
// sinh(z)
int comp_sinh(xComplex *rst,
                const xComplex z);
// ---------------------------------
// cosh(z)
int comp_cosh(xComplex *rst,
                const xComplex z);
#endif

 
0. 公用符號與基本假設
 
Complex 在 C++ 已支援非常好， #include <complex> 即可使用，