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1.1 ! root 1: ! 2: #include "complex.h" ! 3: #include "const.h" ! 4: ! 5: complex sin(complex z) ! 6: /* ! 7: sine of z: -i * sinh(i*z) ! 8: */ ! 9: { ! 10: complex y = complex(-z.im, z.re); /* i * z */ ! 11: y = sinh(y); /* csinh(y) */ ! 12: return complex(y.im, -y.re); /* -i * y */ ! 13: } ! 14: ! 15: complex sinh(complex z) ! 16: /* ! 17: The hyperbolic sine ! 18: */ ! 19: { ! 20: double cosh_x, sinh_x, cos_y, sin_y; ! 21: ! 22: #define SINH_GOOD 1e7 ! 23: #define SINH_HUGE 1e38 ! 24: ! 25: if (z.re > MAX_EXPONENT) { ! 26: complex_error(C_SINH_RE, z.re); ! 27: cosh_x = sinh_x = SINH_HUGE; ! 28: } ! 29: else if (z.re < MIN_EXPONENT) { ! 30: complex_error(C_SINH_RE, z.re); ! 31: cosh_x = SINH_HUGE; ! 32: sinh_x = -SINH_HUGE; ! 33: } ! 34: else { ! 35: double pos_exp = exp(z.re); ! 36: double neg_exp = 1/pos_exp; ! 37: cosh_x = (pos_exp + neg_exp)/2; ! 38: sinh_x = (pos_exp - neg_exp)/2; ! 39: } ! 40: ! 41: if (ABS(z.im) > SINH_GOOD) { ! 42: complex_error(C_SINH_IM, z.im); ! 43: cos_y = sin_y = 0; ! 44: } ! 45: else { ! 46: cos_y = cos(z.im); ! 47: sin_y = sin(z.im); ! 48: } ! 49: ! 50: return complex(cos_y*sinh_x, sin_y*cosh_x); ! 51: }
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