`arb_rel_error_bits, arb_rel_accuracy_bits`

Synopsis#include <flint/arb.h>

slong arb_rel_error_bits(const arb_t x)source

slong arb_rel_accuracy_bits(const arb_t x)source

arb_rel_error_bits returns $e_r - e_m + 1$ , where $e_m$ and $e_r$ are the exponents of the midpoint and radius ( $2^{e-1} \le |\cdot| < 2^e$ ): an estimate of $\log_2(r/|m|)$ rounded up. arb_rel_accuracy_bits returns its negation, the number of correct bits. The value is clamped to $\pm$ ARF_PREC_EXACT: an exact ball has accuracy ARF_PREC_EXACT, and a ball with a special midpoint or an infinite radius has accuracy $-$ ARF_PREC_EXACT.

Cite this page

The FLINT team, “arb_rel_error_bits, arb_rel_accuracy_bits (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/arb_rel_error_bits.html (generated 2026-11-02).

@misc{flint-doc-arb-arb-rel-error-bits,
  author       = {{The FLINT team}},
  title        = {{arb\_rel\_error\_bits, arb\_rel\_accuracy\_bits (arb.h)}},
  howpublished = {FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev},
  year         = {2026},
  url          = {https://flintlib.org/doc/arb/arb_rel_error_bits.html},
  note         = {Generated 2026-11-02}
}

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