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Diffstat (limited to 'libstdc++-v3/math/csqrtf.c')
-rw-r--r-- | libstdc++-v3/math/csqrtf.c | 110 |
1 files changed, 110 insertions, 0 deletions
diff --git a/libstdc++-v3/math/csqrtf.c b/libstdc++-v3/math/csqrtf.c new file mode 100644 index 0000000..a239588 --- /dev/null +++ b/libstdc++-v3/math/csqrtf.c @@ -0,0 +1,110 @@ +/* Complex square root of float value. */ + +/* Copyright (C) 1997-1999 Free Software Foundation, Inc. + + This file is part of the GNU ISO C++ Library. This library 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 2, or (at your option) + any later version. + + This 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 General Public License for more details. + + You should have received a copy of the GNU General Public License along + with this library; see the file COPYING. If not, write to the Free + Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, + USA. + + As a special exception, you may use this file as part of a free software + library without restriction. Specifically, if other files instantiate + templates or use macros or inline functions from this file, or you compile + this file and link it with other files to produce an executable, this + file does not by itself cause the resulting executable to be covered by + the GNU General Public License. This exception does not however + invalidate any other reasons why the executable file might be covered by + the GNU General Public License. */ + + +#include <math.h> +#include "mathconf.h" + + +__complex__ float +csqrtf (__complex__ float x) +{ + __complex__ float res; + + if (!FINITEF_P (__real__ x) || !FINITEF_P (__imag__ x)) + { + if (INFINITEF_P (__imag__ x)) + { + __real__ res = HUGE_VALF; + __imag__ res = __imag__ x; + } + else if (INFINITEF_P (__real__ x)) + { + if (__real__ x < 0.0) + { + __real__ res = __imag__ x != __imag__ x ? NAN : 0; + __imag__ res = copysignf (HUGE_VALF, __imag__ x); + } + else + { + __real__ res = __real__ x; + __imag__ res = (__imag__ x != __imag__ x + ? NAN : copysignf (0.0, __imag__ x)); + } + } + else + { + __real__ res = NAN; + __imag__ res = NAN; + } + } + else + { + if (__imag__ x == 0.0) + { + if (__real__ x < 0.0) + { + __real__ res = 0.0; + __imag__ res = copysignf (sqrtf (-__real__ x), __imag__ x); + } + else + { + __real__ res = fabsf (sqrtf (__real__ x)); + __imag__ res = copysignf (0.0, __imag__ x); + } + } + else if (__real__ x == 0.0) + { + float r = sqrtf (0.5 * fabsf (__imag__ x)); + + __real__ res = copysignf (r, __imag__ x); + __imag__ res = r; + } + else + { + __complex__ float q; + float t, r; + + if (fabsf (__imag__ x) < 2.0e-4 * fabsf (__real__ x)) + t = 0.25 * __imag__ x * (__imag__ x / __real__ x); + else + t = 0.5 * (hypotf (__real__ x, __imag__ x) - __real__ x); + + r = sqrtf (t); + + __real__ q = __imag__ x / (2.0 * r); + __imag__ q = r; + + /* Heron iteration in complex arithmetic. */ + res = 0.5 * (q + q / x); + } + } + + return res; +} |