#include "complex.h" #include "const.h" complex cos(complex z) /* The cosine of z: cos(z)=cosh(iz). */ { complex y(-z.im, z.re); return cosh(y); } complex cosh(complex z) /* The complex hyperbolic cosine of z */ { double cosh_x, sinh_x, cos_y, sin_y; #define COSH_GOOD 1e7 #define COSH_HUGE 1e38 if (z.re > MAX_EXPONENT) { complex_error(C_COSH_RE, z.re); cosh_x = sinh_x = COSH_HUGE; } else if (z.re < MIN_EXPONENT) { complex_error(C_COSH_RE, z.re); cosh_x = COSH_HUGE; sinh_x = -COSH_HUGE; } else { double pos_exp = exp(z.re); double neg_exp = 1/pos_exp; cosh_x = (pos_exp + neg_exp)/2; sinh_x = (pos_exp - neg_exp)/2; } if (ABS(z.im) > COSH_GOOD) { complex_error(C_COSH_IM, z.im); cos_y = sin_y = 0; } else { cos_y = cos(z.im); sin_y = sin(z.im); } return complex(cos_y*cosh_x, sin_y*sinh_x); }