FLINT3.7.0-dev

ARB_LOG_PRIME_CACHE_NUM, ARB_ATAN_GAUSS_PRIME_CACHE_NUM, ARB_LOG_REDUCTION_DEFAULT_MAX_PREC, ARB_SIN_COS_ATAN_REDUCTION_DEFAULT_MAX_PREC, ARB_EXP_LOG_REDUCTION_PREC, ARB_SIN_COS_ATAN_REDUCTION_PREC, ARB_LOG_NEWTON_PREC, ARB_ATAN_NEWTON_PREC

Synopsis#include <flint/arb.h>
ARB_LOG_PRIME_CACHE_NUMsource
ARB_ATAN_GAUSS_PRIME_CACHE_NUMsource
ARB_LOG_REDUCTION_DEFAULT_MAX_PRECsource
ARB_SIN_COS_ATAN_REDUCTION_DEFAULT_MAX_PRECsource
ARB_EXP_LOG_REDUCTION_PRECsource
ARB_SIN_COS_ATAN_REDUCTION_PRECsource
ARB_LOG_NEWTON_PRECsource
ARB_ATAN_NEWTON_PRECsource

The number of cached logarithms of primes and arguments of Gaussian primes (13 each), the precision range in which the reduction algorithms are used for the exponential and for sine and cosine (from 2240, respectively 2600 bits, to 4 million bits), and the precisions from which the logarithm (2800 bits) and the arctangent (3400 bits) use Newton iteration.

Cite this page

The FLINT team, “ARB_LOG_PRIME_CACHE_NUM, ARB_ATAN_GAUSS_PRIME_CACHE_NUM, ARB_LOG_REDUCTION_DEFAULT_MAX_PREC, ARB_SIN_COS_ATAN_REDUCTION_DEFAULT_MAX_PREC, ARB_EXP_LOG_REDUCTION_PREC, ARB_SIN_COS_ATAN_REDUCTION_PREC, ARB_LOG_NEWTON_PREC, ARB_ATAN_NEWTON_PREC (arb.h),” FLINT: Fast Library for Number Theory, documentation, version 3.7.0-dev, 2026. https://flintlib.org/doc/arb/ARB_LOG_PRIME_CACHE_NUM.html (generated 2026-10-20).