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author | Toon Moene <toon@moene.indiv.nluug.nl> | 2000-12-09 16:34:53 +0100 |
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committer | Toon Moene <toon@gcc.gnu.org> | 2000-12-09 15:34:53 +0000 |
commit | a40bb4d3457a605b5fdb63da04aae6bfa02938e5 (patch) | |
tree | e96069addc998cc95cee16e821cf01a3d8ae6b6f /libf2c/libF77/z_log.c | |
parent | 976654912051f4b6680973c01da45c3697645f24 (diff) | |
download | gcc-a40bb4d3457a605b5fdb63da04aae6bfa02938e5.zip gcc-a40bb4d3457a605b5fdb63da04aae6bfa02938e5.tar.gz gcc-a40bb4d3457a605b5fdb63da04aae6bfa02938e5.tar.bz2 |
Update to Netlib version 20001205.
2000-12-09 Toon Moene <toon@moene.indiv.nluug.nl>
Update to Netlib version 20001205.
Thanks go to David M. Gay for these updates.
* libF77/Version.c: Update version information.
* libF77/z_log.c: Improve accuracy of real(log(z)) for
z near (+-1,eps) with |eps| small.
* libF77/s_cat.c: Adjust call when ftnint and ftnlen are
of different size.
* libF77/dtime_.c, libF77/etime_.c: Use floating point divide.
* libI77/Version.c: Update version information.
* libI77/rsne.c, libI77/xwsne.c: Adjust code for when ftnint
and ftnlen differ in size.
* libI77/lread.c: Fix reading of namelist logical values followed
by <name>= where <name> starts with T or F.
From-SVN: r38152
Diffstat (limited to 'libf2c/libF77/z_log.c')
-rw-r--r-- | libf2c/libF77/z_log.c | 47 |
1 files changed, 47 insertions, 0 deletions
diff --git a/libf2c/libF77/z_log.c b/libf2c/libF77/z_log.c index 34c56d4..9dcc7f7 100644 --- a/libf2c/libF77/z_log.c +++ b/libf2c/libF77/z_log.c @@ -10,7 +10,54 @@ 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 } |