+++ /dev/null
-#include "f2c.h"
-
-#ifdef KR_headers
-double log(), f__cabs(), atan2();
-VOID z_log(r, z) doublecomplex *r, *z;
-#else
-#undef abs
-#include "math.h"
-extern double f__cabs(double, double);
-void z_log(doublecomplex *r, doublecomplex *z)
-#endif
-{
- double s, s0, t, t2, u, v;
- double zi = z->i, zr = z->r;
-
- r->i = atan2(zi, zr);
-#ifdef Pre20000310
- r->r = log( f__cabs( zr, zi ) );
-#else
- if (zi < 0)
- zi = -zi;
- if (zr < 0)
- zr = -zr;
- if (zr < zi) {
- t = zi;
- zi = zr;
- zr = t;
- }
- t = zi/zr;
- s = zr * sqrt(1 + t*t);
- /* now s = f__cabs(zi,zr), and zr = |zr| >= |zi| = zi */
- if ((t = s - 1) < 0)
- t = -t;
- if (t > .01)
- r->r = log(s);
- else {
-
-#ifdef Comment
-
- log(1+x) = x - x^2/2 + x^3/3 - x^4/4 + - ...
-
- = x(1 - x/2 + x^2/3 -+...)
-
- [sqrt(y^2 + z^2) - 1] * [sqrt(y^2 + z^2) + 1] = y^2 + z^2 - 1, so
-
- sqrt(y^2 + z^2) - 1 = (y^2 + z^2 - 1) / [sqrt(y^2 + z^2) + 1]
-
-#endif /*Comment*/
-
- t = ((zr*zr - 1.) + zi*zi) / (s + 1);
- t2 = t*t;
- s = 1. - 0.5*t;
- u = v = 1;
- do {
- s0 = s;
- u *= t2;
- v += 2;
- s += u/v - t*u/(v+1);
- } while(s > s0);
- r->r = s*t;
- }
-#endif
- }