`d1_log, d2_log, d3_log, d4_log, d1_atan, d2_atan, d3_atan, d4_atan`

Synopsis#include <flint/dfloat.h>

void d1_log(d1_t res, d1_srcptr x)

void d2_log(d2_t res, d2_srcptr x)

void d3_log(d3_t res, d3_srcptr x)

void d4_log(d4_t res, d4_srcptr x)

void d1_atan(d1_t res, d1_srcptr x)

void d2_atan(d2_t res, d2_srcptr x)

void d3_atan(d3_t res, d3_srcptr x)

void d4_atan(d4_t res, d4_srcptr x)

The natural logarithm and the arctangent, with the bounds above. The logarithm of a nonpositive number is $-\infty$ (for zero) or NaN, of $+\infty$ it is $+\infty$ , and $\log 1 = 0$ exactly; arguments outside $[2^{-1022}, 2^{1022})$ go through arb_t. The arctangent of $\pm\infty$ is $\pm \pi/2$ , and $\operatorname{atan} 0 = 0$ exactly.

Cite this page

The FLINT team, “d1_log, d2_log, d3_log, d4_log, d1_atan, d2_atan, d3_atan, d4_atan (dfloat.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/dfloat/d1_log.html (generated 2026-11-02).

@misc{flint-doc-dfloat-d1-log,
  author       = {{The FLINT team}},
  title        = {{d1\_log, d2\_log, d3\_log, d4\_log, d1\_atan, d2\_atan, d3\_atan, d4\_atan (dfloat.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/dfloat/d1_log.html},
  note         = {Generated 2026-11-02}
}

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