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Implement C23 rootn.
C23 adds various <math.h> function families originally defined in TS 18661-4. Add the rootn functions, which compute the Yth root of X for integer Y (with a domain error if Y is 0, even if X is a NaN). The integer exponent has type long long int in C23; it was intmax_t in TS 18661-4, and as with other interfaces changed after their initial appearance in the TS, I don't think we need to support the original version of the interface. As with pown and compoundn, I strongly encourage searching for worst cases for ulps error for these implementations (necessarily non-exhaustively, given the size of the input space). I also expect a custom implementation for a given format could be much faster as well as more accurate, although the implementation is simpler than those for pown and compoundn. This completes adding to glibc those TS 18661-4 functions (ignoring DFP) that are included in C23. See https://gcc.gnu.org/bugzilla/show_bug.cgi?id=118592 regarding the C23 mathematical functions (not just the TS 18661-4 ones) missing built-in functions in GCC, where such functions might usefully be added. Tested for x86_64 and x86, and with build-many-glibcs.py.
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math/libm-test-rootn.inc
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159
math/libm-test-rootn.inc
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/* Test rootn.
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Copyright (C) 2025 Free Software Foundation, Inc.
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This file is part of the GNU C Library.
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The GNU C Library is free software; you can redistribute it and/or
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modify it under the terms of the GNU Lesser General Public
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License as published by the Free Software Foundation; either
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version 2.1 of the License, or (at your option) any later version.
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The GNU C Library is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public
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License along with the GNU C Library; if not, see
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<https://www.gnu.org/licenses/>. */
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#include "libm-test-driver.c"
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static const struct test_fL_f_data rootn_test_data[] =
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{
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TEST_fL_f (rootn, qnan_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -qnan_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, snan_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -snan_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, plus_infty, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, plus_zero, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_zero, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, min_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, min_subnorm_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, max_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, 0, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, 2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, 4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, 0x7ffffffffffffffeLL, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, 2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, 4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, 0x7ffffffffffffffeLL, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, 2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, 4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, 0x7ffffffffffffffeLL, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, 2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, 4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, 0x7ffffffffffffffeLL, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, 2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, 4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, 0x7ffffffffffffffeLL, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, -2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, -4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_subnorm_value, LLONG_MIN, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, -2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, -4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -min_value, LLONG_MIN, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, -2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, -4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -1.0, LLONG_MIN, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, -2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, -4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, -max_value, LLONG_MIN, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, -2, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, -4, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, minus_infty, LLONG_MIN, qnan_value, INVALID_EXCEPTION|ERRNO_EDOM),
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TEST_fL_f (rootn, qnan_value, 1, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, 1, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, -1, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, -1, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, 2, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, 2, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, -2, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, -2, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, 3, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, 3, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, -3, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, -3, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, LLONG_MAX, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, LLONG_MAX, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, qnan_value, LLONG_MIN, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, -qnan_value, LLONG_MIN, qnan_value, NO_INEXACT_EXCEPTION|ERRNO_UNCHANGED),
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TEST_fL_f (rootn, snan_value, 1, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, 1, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, -1, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, -1, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, 2, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, 2, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, -2, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, -2, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, 3, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, 3, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, -3, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, -3, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, LLONG_MAX, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, LLONG_MAX, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, snan_value, LLONG_MIN, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, -snan_value, LLONG_MIN, qnan_value, INVALID_EXCEPTION),
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TEST_fL_f (rootn, plus_zero, -1, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, -1, minus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, -2, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_zero, -3, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, -3, minus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_zero, -4, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, -4, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_zero, -5, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, -5, minus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_zero, LLONG_MIN, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, minus_zero, LLONG_MIN, plus_infty, DIVIDE_BY_ZERO_EXCEPTION|ERRNO_ERANGE),
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TEST_fL_f (rootn, plus_infty, 1, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, 1, minus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, 2, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, 3, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, 3, minus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, 4, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, 5, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, 5, minus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, LLONG_MAX, plus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, LLONG_MAX, minus_infty, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -1, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, -1, minus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -2, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -3, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, -3, minus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -4, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -5, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, -5, minus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, -0x7fffffffffffffffLL, plus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, minus_infty, -0x7fffffffffffffffLL, minus_zero, ERRNO_UNCHANGED),
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TEST_fL_f (rootn, plus_infty, LLONG_MIN, plus_zero, ERRNO_UNCHANGED),
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AUTO_TESTS_fL_f (rootn),
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};
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static void
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rootn_test (void)
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{
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ALL_RM_TEST (rootn, 0, rootn_test_data, RUN_TEST_LOOP_fL_f, END);
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}
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static void
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do_test (void)
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{
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rootn_test ();
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}
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/*
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* Local Variables:
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* mode:c
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* End:
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*/
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