exp.c 897 B

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  1. /*
  2. exp returns the exponential function of its
  3. floating-point argument.
  4. The coefficients are #1069 from Hart and Cheney. (22.35D)
  5. */
  6. #include <lib9.h>
  7. #define p0 .2080384346694663001443843411e7
  8. #define p1 .3028697169744036299076048876e5
  9. #define p2 .6061485330061080841615584556e2
  10. #define q0 .6002720360238832528230907598e7
  11. #define q1 .3277251518082914423057964422e6
  12. #define q2 .1749287689093076403844945335e4
  13. #define log2e 1.4426950408889634073599247
  14. #define sqrt2 1.4142135623730950488016887
  15. #define maxf 10000
  16. double
  17. exp(double arg)
  18. {
  19. double fract, temp1, temp2, xsq;
  20. int ent;
  21. if(arg == 0)
  22. return 1;
  23. if(arg < -maxf)
  24. return 0;
  25. if(arg > maxf)
  26. return Inf(1);
  27. arg *= log2e;
  28. ent = floor(arg);
  29. fract = (arg-ent) - 0.5;
  30. xsq = fract*fract;
  31. temp1 = ((p2*xsq+p1)*xsq+p0)*fract;
  32. temp2 = ((xsq+q2)*xsq+q1)*xsq + q0;
  33. return ldexp(sqrt2*(temp2+temp1)/(temp2-temp1), ent);
  34. }