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1.1 ! root 1: /* ! 2: sinh(arg) returns the hyperbolic sign of its floating- ! 3: point argument. ! 4: ! 5: The exponential function is called for arguments ! 6: greater in magnitude than 0.5. ! 7: The result overflows and 'huge' is returned for ! 8: arguments greater than somewhat. ! 9: ! 10: A series is used for arguments smaller in magnitude than 0.5. ! 11: The coeffieients are #2029 from Hart & Cheney. (20.36D) ! 12: ! 13: cosh(arg) is computed from the exponential function for ! 14: all arguments. ! 15: */ ! 16: ! 17: double exp(); ! 18: ! 19: static double p0 -0.6307673640497716991184787251e+6; ! 20: static double p1 -0.8991272022039509355398013511e+5; ! 21: static double p2 -0.2894211355989563807284660366e+4; ! 22: static double p3 -0.2630563213397497062819489e+2; ! 23: static double q0 -0.6307673640497716991212077277e+6; ! 24: static double q1 0.1521517378790019070696485176e+5; ! 25: static double q2 -0.173678953558233699533450911e+3; ! 26: static double q3 1.0; ! 27: ! 28: double ! 29: sinh(arg) double arg; { ! 30: ! 31: double sign, temp, argsq; ! 32: ! 33: sign = 1; ! 34: if(arg < 0){ ! 35: arg = - arg; ! 36: sign = -1; ! 37: } ! 38: ! 39: if(arg > 21.){ ! 40: temp = exp(arg)/2; ! 41: return(sign*temp); ! 42: } ! 43: ! 44: if(arg > 0.5) { ! 45: temp = (exp(arg) - exp(-arg))/2; ! 46: return(sign*temp); ! 47: } ! 48: ! 49: argsq = arg*arg; ! 50: temp = (((p3*argsq+p2)*argsq+p1)*argsq+p0)*arg; ! 51: temp = temp/(((q3*argsq+q2)*argsq+q1)*argsq+q0); ! 52: return(sign*temp); ! 53: ! 54: } ! 55: ! 56: double ! 57: cosh(arg) double arg; { ! 58: ! 59: double temp; ! 60: ! 61: if(arg < 0) ! 62: arg = - arg; ! 63: ! 64: if(arg > 21.){ ! 65: temp = exp(arg)/2; ! 66: return(temp); ! 67: } ! 68: ! 69: temp = (exp(arg) + exp(-arg))/2; ! 70: return(temp); ! 71: }
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