diff options
Diffstat (limited to 'math/s_rootn_template.c')
-rw-r--r-- | math/s_rootn_template.c | 81 |
1 files changed, 81 insertions, 0 deletions
diff --git a/math/s_rootn_template.c b/math/s_rootn_template.c new file mode 100644 index 0000000..771a619 --- /dev/null +++ b/math/s_rootn_template.c @@ -0,0 +1,81 @@ +/* Return the Yth root of X for integer Y. + Copyright (C) 2025 Free Software Foundation, Inc. + This file is part of the GNU C Library. + + The GNU C Library is free software; you can redistribute it and/or + modify it under the terms of the GNU Lesser General Public + License as published by the Free Software Foundation; either + version 2.1 of the License, or (at your option) any later version. + + The GNU C Library is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU + Lesser General Public License for more details. + + You should have received a copy of the GNU Lesser General Public + License along with the GNU C Library; if not, see + <https://www.gnu.org/licenses/>. */ + +#include <errno.h> +#include <limits.h> +#include <math.h> +#include <math-narrow-eval.h> +#include <math_private.h> + + +FLOAT +M_DECL_FUNC (__rootn) (FLOAT x, long long int y) +{ + if (y == 0) + { + /* This is a domain error even if X is a NaN. */ + __set_errno (EDOM); + return M_LIT (0.0) / M_LIT (0.0); + } + if (isnan (x)) + return x + x; + if (x < 0 && (y & 1) == 0) + { + __set_errno (EDOM); + return (x - x) / (x - x); + } + if (isinf (x)) + /* If X is negative, then Y is odd. */ + return y > 0 ? x : M_LIT (1.0) / x; + if (x == M_LIT (0.0)) + { + if (y > 0) + return (y & 1) == 0 ? M_LIT (0.0) : x; + else + { + __set_errno (ERANGE); + return M_LIT (1.0) / ((y & 1) == 0 ? M_LIT (0.0) : x); + } + } + if (y == 1) + return x; + if (y == -1) + { + /* Overflow is possible in this case (and underflow, though not + underflow to zero). */ + FLOAT ret = math_narrow_eval (M_LIT (1.0) / x); + if (isinf (ret)) + __set_errno (ERANGE); + return ret; + } + /* Now X is finite and no overflow or underflow (or results even + close to overflowing or underflowing) is possible. If X is + negative, then Y is odd; the result should have the sign of X. */ + if (y >= 4 * M_MAX_EXP || y <= -4 * M_MAX_EXP) + /* No extra precision is needed in computing the exponent; it is + OK if Y cannot be exactly represented in type FLOAT. */ + return M_COPYSIGN (M_SUF (__ieee754_pow) (M_FABS (x), M_LIT (1.0) / y), x); + /* Compute 1 / Y with extra precision. Y can be exactly represented + in type FLOAT. */ + FLOAT qhi, qlo; + qhi = math_narrow_eval (M_LIT (1.0) / y); + qlo = M_SUF (fma) (-qhi, y, 1.0) / y; + return M_COPYSIGN (M_SUF (__ieee754_pow) (M_FABS (x), qhi) + * M_SUF (__ieee754_pow) (M_FABS (x), qlo), x); +} +declare_mgen_alias (__rootn, rootn); |