?? log.c
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/* log returns the natural logarithm of its floating point argument. The coefficients are #2705 from Hart & Cheney. (19.38D) It calls frexp.*/#include <errno.h>#include <math.h>int errno;double frexp();static double log2 = 0.693147180559945309e0;static double ln10 = 2.302585092994045684;static double sqrto2 = 0.707106781186547524e0;static double p0 = -.240139179559210510e2;static double p1 = 0.309572928215376501e2;static double p2 = -.963769093368686593e1;static double p3 = 0.421087371217979714e0;static double q0 = -.120069589779605255e2;static double q1 = 0.194809660700889731e2;static double q2 = -.891110902798312337e1;doublelog(arg)double arg;{ double x,z, zsq, temp; int exp; if(arg <= 0.) { errno = EDOM; return(-HUGE); } x = frexp(arg,&exp); while(x<0.5) { x = x*2; exp = exp-1; } if(x<sqrto2) { x = 2*x; exp = exp-1; } z = (x-1)/(x+1); zsq = z*z; temp = ((p3*zsq + p2)*zsq + p1)*zsq + p0; temp = temp/(((1.0*zsq + q2)*zsq + q1)*zsq + q0); temp = temp*z + exp*log2; return(temp);}doublelog10(arg)double arg;{ return(log(arg)/ln10);}
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