/* Copyright (C) 2014 Fredrik Johansson This file is part of Arb. Arb is free software: you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License (LGPL) as published by the Free Software Foundation; either version 2.1 of the License, or (at your option) any later version. See . */ #include "mag.h" void mag_expm1(mag_t y, const mag_t x) { if (mag_is_special(x)) { if (mag_is_zero(x)) mag_zero(y); else mag_inf(y); } else if (COEFF_IS_MPZ(MAG_EXP(x))) { if (fmpz_sgn(MAG_EXPREF(x)) > 0) { mag_inf(y); } else { fmpz_set(MAG_EXPREF(y), MAG_EXPREF(x)); MAG_MAN(y) = MAG_MAN(x) + 1; MAG_ADJUST_ONE_TOO_LARGE(y); } } else { slong e = MAG_EXP(x); if (e <= -16) { fmpz_set(MAG_EXPREF(y), MAG_EXPREF(x)); if (e < -MAG_BITS) MAG_MAN(y) = MAG_MAN(x) + 1; else MAG_MAN(y) = MAG_MAN(x) + (MAG_ONE_HALF >> 15); MAG_ADJUST_ONE_TOO_LARGE(y); } else { mag_exp(y, x); /* subtract 1 */ if (e < 6) { slong e2 = MAG_EXP(y); unsigned int c; if (e2 < MAG_BITS) { /* this is correct since exp(x) >= 1 */ MAG_MAN(y) -= (MAG_ONE_HALF >> (e2 - 1)); c = MAG_BITS - FLINT_BIT_COUNT(MAG_MAN(y)); MAG_MAN(y) <<= c; MAG_EXP(y) -= c; } } } } }