/* exp returns the exponential function of its floating-point argument. The coefficients are #1069 from Hart and Cheney. (22.35D) */ #include #define p0 .2080384346694663001443843411e7 #define p1 .3028697169744036299076048876e5 #define p2 .6061485330061080841615584556e2 #define q0 .6002720360238832528230907598e7 #define q1 .3277251518082914423057964422e6 #define q2 .1749287689093076403844945335e4 #define log2e 1.4426950408889634073599247 #define sqrt2 1.4142135623730950488016887 #define maxf 10000 double exp(double arg) { double fract, temp1, temp2, xsq; int ent; if(arg == 0) return 1; if(arg < -maxf) return 0; if(arg > maxf) return Inf(1); arg *= log2e; ent = floor(arg); fract = (arg-ent) - 0.5; xsq = fract*fract; temp1 = ((p2*xsq+p1)*xsq+p0)*fract; temp2 = ((xsq+q2)*xsq+q1)*xsq + q0; return ldexp(sqrt2*(temp2+temp1)/(temp2-temp1), ent); }