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Diffstat (limited to 'libgfortran/generated/pow_m16_m8.c')
-rw-r--r-- | libgfortran/generated/pow_m16_m8.c | 79 |
1 files changed, 79 insertions, 0 deletions
diff --git a/libgfortran/generated/pow_m16_m8.c b/libgfortran/generated/pow_m16_m8.c new file mode 100644 index 0000000..c35636b --- /dev/null +++ b/libgfortran/generated/pow_m16_m8.c @@ -0,0 +1,79 @@ +/* Support routines for the intrinsic power (**) operator + for UNSIGNED, using modulo arithmetic. + Copyright (C) 2025 Free Software Foundation, Inc. + Contributed by Thomas Koenig. + +This file is part of the GNU Fortran 95 runtime library (libgfortran). + +Libgfortran is free software; you can redistribute it and/or +modify it under the terms of the GNU General Public +License as published by the Free Software Foundation; either +version 3 of the License, or (at your option) any later version. + +Libgfortran 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 General Public License for more details. + +Under Section 7 of GPL version 3, you are granted additional +permissions described in the GCC Runtime Library Exception, version +3.1, as published by the Free Software Foundation. + +You should have received a copy of the GNU General Public License and +a copy of the GCC Runtime Library Exception along with this program; +see the files COPYING3 and COPYING.RUNTIME respectively. If not, see +<http://www.gnu.org/licenses/>. */ + +#include "libgfortran.h" + + +/* Use Binary Method to calculate the powi. This is not an optimal but + a simple and reasonable arithmetic. See section 4.6.3, "Evaluation of + Powers" of Donald E. Knuth, "Seminumerical Algorithms", Vol. 2, "The Art + of Computer Programming", 3rd Edition, 1998. */ + +#if defined (HAVE_GFC_UINTEGER_16) && defined (HAVE_GFC_UINTEGER_8) + +GFC_UINTEGER_16 pow_m16_m8 (GFC_UINTEGER_16 x, GFC_UINTEGER_8 n); +export_proto(pow_m16_m8); + +inline static GFC_UINTEGER_16 +power_simple_m16_m8 (GFC_UINTEGER_16 x, GFC_UINTEGER_8 n) +{ + GFC_UINTEGER_16 pow = 1; + for (;;) + { + if (n & 1) + pow *= x; + n >>= 1; + if (n) + x *= x; + else + break; + } + return pow; +} + +/* For odd x, Euler's theorem tells us that x**(2^(m-1)) = 1 mod 2^m. + For even x, we use the fact that (2*x)^m = 0 mod 2^m. */ + +GFC_UINTEGER_16 +pow_m16_m8 (GFC_UINTEGER_16 x, GFC_UINTEGER_8 n) +{ + const GFC_UINTEGER_16 mask = (GFC_UINTEGER_16) (-1) / 2; + if (n == 0) + return 1; + + if (x == 0) + return 0; + + if (x & 1) + return power_simple_m16_m8 (x, n & mask); + + if (n > sizeof (x) * 8) + return 0; + + return power_simple_m16_m8 (x, n); +} + +#endif |